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331111312111132 = 227292801969715013
BaseRepresentation
bin100101101001001001101110…
…0001000111011011000011100
31121102100221011122102220021221
41023102103130020323120130
5321344411431400024012
63132114234210503124
7126513000661230550
oct11322233410733034
91542327148386257
10331111312111132
11965585786a6043
1231177710594aa4
131129a8800c51c7
145ba9c317a3860
152842e7227a507
hex12d24dc23b61c

331111312111132 has 96 divisors (see below), whose sum is σ = 685418786881920. Its totient is φ = 136939415961600.

The previous prime is 331111312111123. The next prime is 331111312111147. The reversal of 331111312111132 is 231111213111133.

It is a junction number, because it is equal to n+sod(n) for n = 331111312111097 and 331111312111106.

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 31 ways as a sum of consecutive naturals, for example, 22054965658 + ... + 22054980670.

It is an arithmetic number, because the mean of its divisors is an integer number (7139779030020).

Almost surely, 2331111312111132 is an apocalyptic number.

It is an amenable number.

331111312111132 is an abundant number, since it is smaller than the sum of its proper divisors (354307474770788).

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

331111312111132 is a wasteful number, since it uses less digits than its factorization.

331111312111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27551 (or 27549 counting only the distinct ones).

The product of its digits is 324, while the sum is 25.

Adding to 331111312111132 its reverse (231111213111133), we get a palindrome (562222525222265).

The spelling of 331111312111132 in words is "three hundred thirty-one trillion, one hundred eleven billion, three hundred twelve million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 2801 5602 9697 11204 15013 19394 19607 30026 38788 39214 60052 67879 78428 81229 105091 135758 162458 210182 271516 281213 324916 420364 435377 562426 568603 870754 1124852 1137206 1741508 1968491 2274412 3047639 3936982 6095278 7873964 12190556 27161297 42051413 54322594 84102826 108645188 145581061 168205652 190129079 291162122 294359891 380258158 582324244 588719782 760516316 787677613 1019067427 1177439564 1219490977 1575355226 2038134854 2438981954 3150710452 4076269708 4221850769 4877963908 5513743291 8443701538 8536436839 11027486582 16887403076 17072873678 22054973164 29552955383 34145747356 59105910766 118211821532 407772551861 815545103722 1631090207444 2854407863027 5708815726054 11417631452108 11825404003969 23650808007938 47301616015876 82777828027783 165555656055566 331111312111132