Search a number
-
+
131001414312402 = 23229360294119937
BaseRepresentation
bin11101110010010100100100…
…110000111110000111010010
3122011211121112210201020010200
4131302110210300332013102
5114132311344030444102
61142341115142040030
736410353112003334
oct3562244460760722
9564747483636120
10131001414312402
113881742a1a7a47
1212838b50719016
1358134c3870b6a
14244c7063a1454
1510229aa08051c
hex772524c3e1d2

131001414312402 has 48 divisors (see below), whose sum is σ = 284852430921240. Its totient is φ = 43510874812416.

The previous prime is 131001414312401. The next prime is 131001414312407. The reversal of 131001414312402 is 204213414100131.

It is a happy number.

131001414312402 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 1 + 414 + 3 + 1 + 240 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129874035420441 + 1127378891961 = 11396229^2 + 1061781^2 .

It is a super-2 number, since 2×1310014143124022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131001414312401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29736978 + ... + 33856914.

Almost surely, 2131001414312402 is an apocalyptic number.

131001414312402 is an abundant number, since it is smaller than the sum of its proper divisors (153851016608838).

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

131001414312402 is a wasteful number, since it uses less digits than its factorization.

131001414312402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126267 (or 4126264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131001414312402 its reverse (204213414100131), we get a palindrome (335214828412533).

The spelling of 131001414312402 in words is "one hundred thirty-one trillion, one billion, four hundred fourteen million, three hundred twelve thousand, four hundred two".

Divisors: 1 2 3 6 9 18 293 586 879 1758 2637 5274 6029 12058 18087 36174 54261 108522 1766497 3532994 4119937 5299491 8239874 10598982 12359811 15898473 24719622 31796946 37079433 74158866 1207141541 2414283082 3621424623 7242849246 10864273869 21728547738 24839100173 49678200346 74517300519 149034601038 223551901557 447103803114 7277856350689 14555712701378 21833569052067 43667138104134 65500707156201 131001414312402