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31001133132 = 22332393119953
BaseRepresentation
bin11100110111110011…
…111100000001001100
32222000112002201212000
4130313303330001030
51001442242230012
622124113512300
72145144166224
oct346763740114
988015081760
1031001133132
1112169371192
126012272690
132c0090ac78
1417013ad084
15c16980ddc
hex737cfc04c

31001133132 has 48 divisors (see below), whose sum is σ = 80407565280. Its totient is φ = 10329306624.

The previous prime is 31001133113. The next prime is 31001133157. The reversal of 31001133132 is 23133110013.

It is a happy number.

It is a super-2 number, since 2×310011331322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198468 + ... + 318420.

It is an arithmetic number, because the mean of its divisors is an integer number (1675157610).

Almost surely, 231001133132 is an apocalyptic number.

It is an amenable number.

31001133132 is an abundant number, since it is smaller than the sum of its proper divisors (49406432148).

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

31001133132 is a wasteful number, since it uses less digits than its factorization.

31001133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122359 (or 122351 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31001133132 its reverse (23133110013), we get a palindrome (54134243145).

The spelling of 31001133132 in words is "thirty-one billion, one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2393 4786 7179 9572 14358 21537 28716 43074 64611 86148 119953 129222 239906 258444 359859 479812 719718 1079577 1439436 2159154 3238731 4318308 6477462 12954924 287047529 574095058 861142587 1148190116 1722285174 2583427761 3444570348 5166855522 7750283283 10333711044 15500566566 31001133132