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1332112312431 = 33971291939371
BaseRepresentation
bin10011011000101000000…
…101001100100001101111
311201100102012022221112000
4103120220011030201233
5133311131222444211
62455544113543343
7165145661554455
oct23305005144157
94640365287460
101332112312431
11473a4474387a
12196209874b53
1398804c9b644
14486903669d5
15249b81e9656
hex1362814c86f

1332112312431 has 32 divisors (see below), whose sum is σ = 1994050060800. Its totient is φ = 878829108480.

The previous prime is 1332112312423. The next prime is 1332112312457. The reversal of 1332112312431 is 1342132112331.

1332112312431 is a `hidden beast` number, since 1 + 3 + 3 + 211 + 2 + 3 + 12 + 431 = 666.

It is not a de Polignac number, because 1332112312431 - 23 = 1332112312423 is a prime.

It is a super-2 number, since 2×13321123124312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332112312395 and 1332112312404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332112312331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33815176 + ... + 33854546.

It is an arithmetic number, because the mean of its divisors is an integer number (62314064400).

Almost surely, 21332112312431 is an apocalyptic number.

1332112312431 is a deficient number, since it is larger than the sum of its proper divisors (661937748369).

1332112312431 is a wasteful number, since it uses less digits than its factorization.

1332112312431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52396 (or 52390 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1332112312431 its reverse (1342132112331), we get a palindrome (2674244424762).

The spelling of 1332112312431 in words is "one trillion, three hundred thirty-two billion, one hundred twelve million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 27 97 291 873 2619 12919 38757 39371 116271 118113 348813 354339 1063017 1253143 3759429 3818987 11278287 11456961 33834861 34370883 103112649 508633949 1525901847 4577705541 13733116623 49337493053 148012479159 444037437477 1332112312431