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1023213131202 = 234315133179349
BaseRepresentation
bin11101110001111000100…
…00010101010111000010
310121211002111000200010010
432320330100111113002
5113231020030144302
62102020240245350
7133632114053253
oct16707420252702
93554074020103
101023213131202
11364a40156a49
12146380010856
137564755bb32
1437749374b2a
151b93962616c
hexee3c4155c2

1023213131202 has 64 divisors (see below), whose sum is σ = 2114280115200. Its totient is φ = 329928984000.

The previous prime is 1023213131201. The next prime is 1023213131207. The reversal of 1023213131202 is 2021313123201.

It is a super-2 number, since 2×10232131312022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023213131201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12855424 + ... + 12934772.

It is an arithmetic number, because the mean of its divisors is an integer number (33035626800).

Almost surely, 21023213131202 is an apocalyptic number.

1023213131202 is an abundant number, since it is smaller than the sum of its proper divisors (1091066983998).

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

1023213131202 is a wasteful number, since it uses less digits than its factorization.

1023213131202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79879.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1023213131202 its reverse (2021313123201), we get a palindrome (3044526254403).

The spelling of 1023213131202 in words is "one trillion, twenty-three billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 43 86 129 151 258 302 331 453 662 906 993 1986 6493 12986 14233 19479 28466 38958 42699 49981 79349 85398 99962 149943 158698 238047 299886 476094 2149183 3412007 4298366 6447549 6824014 10236021 11981699 12895098 20472042 23963398 26264519 35945097 52529038 71890194 78793557 157587114 515213057 1030426114 1129374317 1545639171 2258748634 3091278342 3388122951 3965942369 6776245902 7931884738 11897827107 23795654214 170535521867 341071043734 511606565601 1023213131202