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1022012000010 = 232516369666803
BaseRepresentation
bin11101101111101001010…
…10011000011100001010
310121200222202212212212200
432313310222120130022
5113221040033000020
62101301132021030
7133560260444121
oct16676452303412
93550882785780
101022012000010
11364484148341
121460a5901776
13754b575c811
1437673a2cab8
151b8b8e65590
hexedf4a9870a

1022012000010 has 48 divisors (see below), whose sum is σ = 2673533270304. Its totient is φ = 270864526176.

The previous prime is 1022011999979. The next prime is 1022012000069. The reversal of 1022012000010 is 100002102201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022011999956 and 1022012000001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34818732 + ... + 34848071.

It is an arithmetic number, because the mean of its divisors is an integer number (55698609798).

Almost surely, 21022012000010 is an apocalyptic number.

1022012000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022012000010 is an abundant number, since it is smaller than the sum of its proper divisors (1651521270294).

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

1022012000010 is a wasteful number, since it uses less digits than its factorization.

1022012000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69666979 (or 69666976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022012000010 its reverse (100002102201), we get a palindrome (1122014102211).

The spelling of 1022012000010 in words is "one trillion, twenty-two billion, twelve million, ten", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1467 1630 2445 2934 4890 7335 14670 69666803 139333606 209000409 348334015 418000818 627001227 696668030 1045002045 1254002454 2090004090 3135006135 6270012270 11355688889 22711377778 34067066667 56778444445 68134133334 102201200001 113556888890 170335333335 204402400002 340670666670 511006000005 1022012000010