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131012001202986 = 232173711571453913
BaseRepresentation
bin11101110010011110011011…
…110010110000001100101010
3122011212121212121210222210100
4131302132123302300030222
5114133000034301443421
61142350025451530230
736411206344044501
oct3562363362601452
9564777777728710
10131012001202986
11388209722265a2
121283b006159976
1358144c0016c67
14244d02c457838
151022dc971bc26
hex77279bcb032a

131012001202986 has 48 divisors (see below), whose sum is σ = 308680104609864. Its totient is φ = 39990944719872.

The previous prime is 131012001202963. The next prime is 131012001202987. The reversal of 131012001202986 is 689202100210131.

131012001202986 is a `hidden beast` number, since 1 + 310 + 120 + 0 + 120 + 29 + 86 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130095261976761 + 916739226225 = 11405931^2 + 957465^2 .

It is a super-2 number, since 2×1310120012029862 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131012001202986.

It is not an unprimeable number, because it can be changed into a prime (131012001202987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5785715635 + ... + 5785738278.

Almost surely, 2131012001202986 is an apocalyptic number.

131012001202986 is an abundant number, since it is smaller than the sum of its proper divisors (177668103406878).

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

131012001202986 is a wasteful number, since it uses less digits than its factorization.

131012001202986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11571453975 (or 11571453972 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 131012001202986 in words is "one hundred thirty-one trillion, twelve billion, one million, two hundred two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 11571453913 23142907826 34714361739 69428723478 104143085217 196714716521 208286170434 393429433042 428143794781 590144149563 856287589562 1180288299126 1284431384343 1770432448689 2568862768686 3540864897378 3853294153029 7278444511277 7706588306058 14556889022554 21835333533831 43670667067662 65506000601493 131012001202986