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202131030031002 = 23297115768058437
BaseRepresentation
bin101101111101011001001100…
…001111100011101010011010
3222111200112112000121011001200
4231331121030033203222122
5202443203322141443002
61553521414022455030
760401325232566012
oct5575311417435232
9874615460534050
10202131030031002
11594503199a8856
121a806420b94476
1388a2b49c1b077
1437cb2a06a6c42
151857d5a544b1c
hexb7d64c3e3a9a

202131030031002 has 24 divisors (see below), whose sum is σ = 442465519350036. Its totient is φ = 66682401659136.

The previous prime is 202131030030977. The next prime is 202131030031079. The reversal of 202131030031002 is 200130030131202.

202131030031002 is a `hidden beast` number, since 2 + 0 + 21 + 31 + 0 + 300 + 310 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200939725453041 + 1191304577961 = 14175321^2 + 1091469^2 .

It is a super-2 number, since 2×2021310300310022 (a number of 29 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, 57884027473 + ... + 57884030964.

Almost surely, 2202131030031002 is an apocalyptic number.

202131030031002 is an abundant number, since it is smaller than the sum of its proper divisors (240334489319034).

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

202131030031002 is a wasteful number, since it uses less digits than its factorization.

202131030031002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115768058542 (or 115768058539 counting only the distinct ones).

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

Adding to 202131030031002 its reverse (200130030131202), we get a palindrome (402261060162204).

The spelling of 202131030031002 in words is "two hundred two trillion, one hundred thirty-one billion, thirty million, thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 115768058437 231536116874 347304175311 694608350622 1041912525933 2083825051866 11229501668389 22459003336778 33688505005167 67377010010334 101065515015501 202131030031002