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1022540110032 = 2437191429112087
BaseRepresentation
bin11101110000101000010…
…00111101100011010000
310121202100120121122122010
432320110020331203100
5113223130232010112
62101425355142520
7133606332345360
oct16702410754320
93552316548563
101022540110032
11364725264201
12146212744a40
137556aca755c
14376c3c209a0
151b8ea4d263c
hexee1423d8d0

1022540110032 has 160 divisors (see below), whose sum is σ = 3180071065600. Its totient is φ = 276581620224.

The previous prime is 1022540110001. The next prime is 1022540110103. The reversal of 1022540110032 is 2300110452201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1022540109990 and 1022540110008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9066693 + ... + 9178779.

It is an arithmetic number, because the mean of its divisors is an integer number (19875444160).

Almost surely, 21022540110032 is an apocalyptic number.

1022540110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022540110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590035532800).

1022540110032 is an abundant number, since it is smaller than the sum of its proper divisors (2157530955568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022540110032 is a wasteful number, since it uses less digits than its factorization.

1022540110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113553 (or 113547 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 1022540110032 its reverse (2300110452201), we get a palindrome (3322650562233).

The spelling of 1022540110032 in words is "one trillion, twenty-two billion, five hundred forty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1429 1596 2128 2858 3192 4287 5716 6384 8574 10003 11432 17148 20006 22864 27151 30009 34296 40012 54302 60018 68592 80024 81453 108604 112087 120036 160048 162906 190057 217208 224174 240072 325812 336261 380114 434416 448348 480144 570171 651624 672522 760228 784609 896696 1140342 1303248 1345044 1520456 1569218 1793392 2129653 2280684 2353827 2690088 3040912 3138436 4259306 4561368 4707654 5380176 6276872 6388959 8518612 9122736 9415308 12553744 12777918 14907571 17037224 18830616 25555836 29815142 34074448 37661232 44722713 51111672 59630284 89445426 102223344 119260568 160172323 178890852 238521136 320344646 357781704 480516969 640689292 715563408 961033938 1121206261 1281378584 1922067876 2242412522 2562757168 3043274137 3363618783 3844135752 4484825044 6086548274 6727237566 7688271504 8969650088 9129822411 12173096548 13454475132 17939300176 18259644822 21302918959 24346193096 26908950264 36519289644 42605837918 48692386192 53817900528 63908756877 73038579288 85211675836 127817513754 146077158576 170423351672 255635027508 340846703344 511270055016 1022540110032