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1325331032112 = 2432191223396079
BaseRepresentation
bin10011010010010011111…
…000101010100000110000
311200200220121011012201200
4103102103320222200300
5133203234221011422
62452503151331200
7164515636620063
oct23222370524060
94620817135650
101325331032112
114710848a857a
12194a36820b00
1397c940a5439
14482098a28da
152471cbd62ac
hex13493e2a830

1325331032112 has 120 divisors (see below), whose sum is σ = 3907503475200. Its totient is φ = 418182321024.

The previous prime is 1325331032063. The next prime is 1325331032197. The reversal of 1325331032112 is 2112301335231.

1325331032112 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 331 + 0 + 321 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3148089 + ... + 3544167.

It is an arithmetic number, because the mean of its divisors is an integer number (32562528960).

Almost surely, 21325331032112 is an apocalyptic number.

1325331032112 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 1325331032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953751737600).

1325331032112 is an abundant number, since it is smaller than the sum of its proper divisors (2582172443088).

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

1325331032112 is a wasteful number, since it uses less digits than its factorization.

1325331032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397335 (or 397326 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1325331032112 its reverse (2112301335231), we get a palindrome (3437632367343).

The spelling of 1325331032112 in words is "one trillion, three hundred twenty-five billion, three hundred thirty-one million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1223 1368 2446 2736 3669 4892 7338 9784 11007 14676 19568 22014 23237 29352 44028 46474 58704 69711 88056 92948 139422 176112 185896 209133 278844 371792 396079 418266 557688 792158 836532 1115376 1188237 1584316 1673064 2376474 3168632 3346128 3564711 4752948 6337264 7129422 7525501 9505896 14258844 15051002 19011792 22576503 28517688 30102004 45153006 57035376 60204008 67729509 90306012 120408016 135459018 180612024 270918036 361224048 484404617 541836072 968809234 1083672144 1453213851 1937618468 2906427702 3875236936 4359641553 5812855404 7750473872 8719283106 9203687723 11625710808 17438566212 18407375446 23251421616 27611063169 34877132424 36814750892 55222126338 69754264848 73629501784 82833189507 110444252676 147259003568 165666379014 220888505352 331332758028 441777010704 662665516056 1325331032112