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31310022132 = 2232869722837
BaseRepresentation
bin11101001010001110…
…010000010111110100
32222211001022220220100
4131022032100113310
51003110331202012
622214510234100
72155614540234
oct351216202764
988731286810
1031310022132
1112307767054
1260997b5930
132c4c8cba1c
141730417cc4
15c33b488dc
hex74a3905f4

31310022132 has 18 divisors (see below), whose sum is σ = 79144778258. Its totient is φ = 10436674032.

The previous prime is 31310022131. The next prime is 31310022137. The reversal of 31310022132 is 23122001313.

31310022132 is a `hidden beast` number, since 313 + 100 + 221 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26255665296 + 5054356836 = 162036^2 + 71094^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31310022131) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 434861383 + ... + 434861454.

Almost surely, 231310022132 is an apocalyptic number.

It is an amenable number.

31310022132 is an abundant number, since it is smaller than the sum of its proper divisors (47834756126).

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

31310022132 is a wasteful number, since it uses less digits than its factorization.

31310022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869722847 (or 869722842 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31310022132 its reverse (23122001313), we get a palindrome (54432023445).

The spelling of 31310022132 in words is "thirty-one billion, three hundred ten million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 869722837 1739445674 2609168511 3478891348 5218337022 7827505533 10436674044 15655011066 31310022132