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131023033002 = 23318671129953
BaseRepresentation
bin111101000000110010…
…1001101001010101010
3110112012012221201002000
41322001211031022222
54121313344024002
6140105142151430
712315605255601
oct1720145151252
9415165851060
10131023033002
11506260a4a54
1221487422576
13c480b177c4
1464ad2d0a38
15361ca9461c
hex1e8194d2aa

131023033002 has 32 divisors (see below), whose sum is σ = 291180130560. Its totient is φ = 43671669120.

The previous prime is 131023032983. The next prime is 131023033021. The reversal of 131023033002 is 200330320131.

131023033002 is a `hidden beast` number, since 1 + 310 + 23 + 0 + 330 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131023032983) and next prime (131023033021).

It is a super-2 number, since 2×1310230330022 (a number of 23 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943258 + ... + 1073210.

It is an arithmetic number, because the mean of its divisors is an integer number (9099379080).

Almost surely, 2131023033002 is an apocalyptic number.

131023033002 is an abundant number, since it is smaller than the sum of its proper divisors (160157097558).

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

131023033002 is a wasteful number, since it uses less digits than its factorization.

131023033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148635 (or 148629 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131023033002 its reverse (200330320131), we get a palindrome (331353353133).

The spelling of 131023033002 in words is "one hundred thirty-one billion, twenty-three million, thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 54 18671 37342 56013 112026 129953 168039 259906 336078 389859 504117 779718 1008234 1169577 2339154 3508731 7017462 2426352463 4852704926 7279057389 14558114778 21837172167 43674344334 65511516501 131023033002