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31344000431 = 1271492337109
BaseRepresentation
bin11101001100001111…
…110111110110101111
32222220102021012100212
4131030033313312233
51003143031003211
622222122413035
72156506415312
oct351417676657
988812235325
1031344000431
1112324964497
1260a906117b
132c56967723
141734b40979
15c36b0b38b
hex74c3f7daf

31344000431 has 16 divisors (see below), whose sum is σ = 31943808000. Its totient is φ = 30751596288.

The previous prime is 31344000407. The next prime is 31344000451. The reversal of 31344000431 is 13400044313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31344000431 is a prime.

It is a super-2 number, since 2×313440004312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31344000397 and 31344000406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344000451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405505 + ... + 4412613.

It is an arithmetic number, because the mean of its divisors is an integer number (1996488000).

Almost surely, 231344000431 is an apocalyptic number.

31344000431 is a deficient number, since it is larger than the sum of its proper divisors (599807569).

31344000431 is a wasteful number, since it uses less digits than its factorization.

31344000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 31344000431 its reverse (13400044313), we get a palindrome (44744044744).

The spelling of 31344000431 in words is "thirty-one billion, three hundred forty-four million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 127 149 233 7109 18923 29591 34717 902843 1059241 1656397 4409059 134523607 210362419 246803153 31344000431