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31142032002 = 2321730112889
BaseRepresentation
bin11101000000001101…
…011011001010000010
32222101100020010202200
4131000031123022002
51002234330011002
622150105454030
72151504622134
oct350015331202
988340203680
1031142032002
1112230957634
1260514a1316
132c23b71493
141715da9054
15c24013b1c
hex74035b282

31142032002 has 12 divisors (see below), whose sum is σ = 67474402710. Its totient is φ = 10380677328.

The previous prime is 31142031997. The next prime is 31142032003. The reversal of 31142032002 is 20023024113.

It can be written as a sum of positive squares in only one way, i.e., 17469173241 + 13672858761 = 132171^2 + 116931^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1730112889 = 31142032002 / (3 + 1 + 1 + 4 + 2 + 0 + 3 + 2 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (31142032003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 865056427 + ... + 865056462.

Almost surely, 231142032002 is an apocalyptic number.

31142032002 is an abundant number, since it is smaller than the sum of its proper divisors (36332370708).

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

31142032002 is a wasteful number, since it uses less digits than its factorization.

31142032002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730112897 (or 1730112894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31142032002 its reverse (20023024113), we get a palindrome (51165056115).

The spelling of 31142032002 in words is "thirty-one billion, one hundred forty-two million, thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 1730112889 3460225778 5190338667 10380677334 15571016001 31142032002