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10220310302100 = 22352318313240459
BaseRepresentation
bin1001010010111001100111…
…1101110000110110010100
31100012001101222221012000220
42110232121331300312110
52314422143414131400
633423051251234340
72103251550123123
oct224563175606624
940161358835026
1010220310302100
1132904557a4858
1211909212a89b0
13591a04219322
142749467cbaba
1512acc14c97a0
hex94b99f70d94

10220310302100 has 144 divisors (see below), whose sum is σ = 30892429424640. Its totient is φ = 2605722134400.

The previous prime is 10220310302099. The next prime is 10220310302113. The reversal of 10220310302100 is 120301302201.

It is a super-2 number, since 2×102203103021002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220310302100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5848330 + ... + 7392129.

Almost surely, 210220310302100 is an apocalyptic number.

10220310302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220310302100 is an abundant number, since it is smaller than the sum of its proper divisors (20672119122540).

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

10220310302100 is a wasteful number, since it uses less digits than its factorization.

10220310302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13240590 (or 13240583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10220310302100 its reverse (120301302201), we get a palindrome (10340611604301).

The spelling of 10220310302100 in words is "ten trillion, two hundred twenty billion, three hundred ten million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 83 93 100 124 150 155 166 186 249 300 310 332 372 415 465 498 620 775 830 930 996 1245 1550 1660 1860 2075 2325 2490 2573 3100 4150 4650 4980 5146 6225 7719 8300 9300 10292 12450 12865 15438 24900 25730 30876 38595 51460 64325 77190 128650 154380 192975 257300 385950 771900 13240459 26480918 39721377 52961836 66202295 79442754 132404590 158885508 198606885 264809180 331011475 397213770 410454229 662022950 794427540 820908458 993034425 1098958097 1231362687 1324045900 1641816916 1986068850 2052271145 2197916194 2462725374 3296874291 3972137700 4104542290 4395832388 4925450748 5494790485 6156813435 6593748582 8209084580 10261355725 10989580970 12313626870 13187497164 16484371455 20522711450 21979161940 24627253740 27473952425 30784067175 32968742910 34067701007 41045422900 54947904850 61568134350 65937485820 68135402014 82421857275 102203103021 109895809700 123136268700 136270804028 164843714550 170338505035 204406206042 329687429100 340677010070 408812412084 511015515105 681354020140 851692525175 1022031030210 1703385050350 2044062060420 2555077575525 3406770100700 5110155151050 10220310302100