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111144331431 = 32713811277477
BaseRepresentation
bin110011110000010110…
…1111110100010100111
3101121212211200000222200
41213200231332202213
53310110422101211
6123020424425543
711013155141460
oct1474055764247
9347784600880
10111144331431
1143155094271
121965a0182b3
13a6335ccab3
145545181d67
152d577d8b56
hex19e0b7e8a7

111144331431 has 24 divisors (see below), whose sum is σ = 183609357984. Its totient is φ = 63465007680.

The previous prime is 111144331427. The next prime is 111144331453. The reversal of 111144331431 is 134133441111.

It is not a de Polignac number, because 111144331431 - 22 = 111144331427 is a prime.

It is a super-2 number, since 2×1111443314312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111144331395 and 111144331404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111144331531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551736 + ... + 725741.

It is an arithmetic number, because the mean of its divisors is an integer number (7650389916).

Almost surely, 2111144331431 is an apocalyptic number.

111144331431 is a deficient number, since it is larger than the sum of its proper divisors (72465026553).

111144331431 is a wasteful number, since it uses less digits than its factorization.

111144331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278871 (or 1278868 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 111144331431 its reverse (134133441111), we get a palindrome (245277772542).

The spelling of 111144331431 in words is "one hundred eleven billion, one hundred forty-four million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 1381 4143 9667 12429 29001 87003 1277477 3832431 8942339 11497293 26827017 80481051 1764195737 5292587211 12349370159 15877761633 37048110477 111144331431