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31427126316 = 22324121292091
BaseRepresentation
bin11101010001001100…
…111110010000101100
310000010012200102122100
4131101030332100230
51003330321020231
622234252215100
72161536110655
oct352114762054
9100105612570
1031427126316
1112367880173
126110a6a490
132c6ac50841
141741bbc52c
15c3e07b1e6
hex75133e42c

31427126316 has 36 divisors (see below), whose sum is σ = 81378375624. Its totient is φ = 10220203200.

The previous prime is 31427126309. The next prime is 31427126333. The reversal of 31427126316 is 61362172413.

31427126316 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 7 + 12 + 631 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 10644570 + ... + 10647521.

It is an arithmetic number, because the mean of its divisors is an integer number (2260510434).

Almost surely, 231427126316 is an apocalyptic number.

31427126316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31427126316 is an abundant number, since it is smaller than the sum of its proper divisors (49951249308).

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

31427126316 is a wasteful number, since it uses less digits than its factorization.

31427126316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292142 (or 21292137 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

Adding to 31427126316 its reverse (61362172413), we get a palindrome (92789298729).

The spelling of 31427126316 in words is "thirty-one billion, four hundred twenty-seven million, one hundred twenty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 21292091 42584182 63876273 85168364 127752546 191628819 255505092 383257638 766515276 872975731 1745951462 2618927193 3491902924 5237854386 7856781579 10475708772 15713563158 31427126316