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31013002202202 = 2323373510804793
BaseRepresentation
bin1110000110100110001101…
…11110101100110001011010
311001210210222110001111021200
413003103012332230301122
513031104112030432302
6145543102044015030
76350421051134256
oct703230676546132
9131723873044250
1031013002202202
1199775a42659a9
12358a63b831476
13143c68a39ac57
14793074573266
1538babcc7981c
hex1c34c6facc5a

31013002202202 has 24 divisors (see below), whose sum is σ = 67214759623284. Its totient is φ = 10334602551744.

The previous prime is 31013002202183. The next prime is 31013002202261. The reversal of 31013002202202 is 20220220031013.

31013002202202 is a `hidden beast` number, since 310 + 130 + 0 + 2 + 2 + 0 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21509290871721 + 9503711330481 = 4637811^2 + 3082809^2 .

It is a super-2 number, since 2×310130022022022 (a number of 28 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255341683 + ... + 255463110.

Almost surely, 231013002202202 is an apocalyptic number.

31013002202202 is an abundant number, since it is smaller than the sum of its proper divisors (36201757421082).

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

31013002202202 is a wasteful number, since it uses less digits than its factorization.

31013002202202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510808174 (or 510808171 counting only the distinct ones).

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

Adding to 31013002202202 its reverse (20220220031013), we get a palindrome (51233222233215).

The spelling of 31013002202202 in words is "thirty-one trillion, thirteen billion, two million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 3373 6746 10119 20238 30357 60714 510804793 1021609586 1532414379 3064828758 4597243137 9194486274 1722944566789 3445889133578 5168833700367 10337667400734 15506501101101 31013002202202