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1331123003112 = 233757179138571
BaseRepresentation
bin10011010111101101000…
…111010001111011101000
311201020212020202211021010
4103113231013101323220
5133302114442044422
62455302013343520
7165112316560650
oct23275507217350
94636766684233
101331123003112
11473587262071
12195b92497ba0
13986a8035506
14485d8bdd360
152495b42ab0c
hex135ed1d1ee8

1331123003112 has 64 divisors (see below), whose sum is σ = 3803302540800. Its totient is φ = 380311462080.

The previous prime is 1331123003107. The next prime is 1331123003129. The reversal of 1331123003112 is 2113003211331.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 9536787 + ... + 9675357.

It is an arithmetic number, because the mean of its divisors is an integer number (59426602200).

Almost surely, 21331123003112 is an apocalyptic number.

1331123003112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331123003112 is an abundant number, since it is smaller than the sum of its proper divisors (2472179537688).

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

1331123003112 is a wasteful number, since it uses less digits than its factorization.

1331123003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195766 (or 195762 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1331123003112 its reverse (2113003211331), we get a palindrome (3444126214443).

The spelling of 1331123003112 in words is "one trillion, three hundred thirty-one billion, one hundred twenty-three million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 57179 114358 138571 171537 228716 277142 343074 400253 415713 457432 554284 686148 800506 831426 969997 1108568 1200759 1372296 1601012 1662852 1939994 2401518 2909991 3202024 3325704 3879988 4803036 5819982 7759976 9606072 11639964 23279928 7923351209 15846702418 23770053627 31693404836 47540107254 55463458463 63386809672 95080214508 110926916926 166390375389 190160429016 221853833852 332780750778 443707667704 665561501556 1331123003112