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131201202413440 = 275205001878771
BaseRepresentation
bin11101110101001110101001…
…000100000101111110000000
3122012112201020101021022220101
4131311032221010011332000
5114144100030304212230
61143013000022252144
736430655050564165
oct3565165104057600
9565481211238811
10131201202413440
1138894132399335
121286b809287054
1358292b2ccaa23
14245825a28406c
151027c9eae9aca
hex7753a9105f80

131201202413440 has 32 divisors (see below), whose sum is σ = 313652874521160. Its totient is φ = 52480480965120.

The previous prime is 131201202413419. The next prime is 131201202413441. The reversal of 131201202413440 is 44314202102131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 131201202413399 and 131201202413408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201202413441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102500938746 + ... + 102500940025.

Almost surely, 2131201202413440 is an apocalyptic number.

131201202413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201202413440 is an abundant number, since it is smaller than the sum of its proper divisors (182451672107720).

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

131201202413440 is an equidigital number, since it uses as much as digits as its factorization.

131201202413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205001878790 (or 205001878778 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131201202413440 its reverse (44314202102131), we get a palindrome (175515404515571).

The spelling of 131201202413440 in words is "one hundred thirty-one trillion, two hundred one billion, two hundred two million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 205001878771 410003757542 820007515084 1025009393855 1640015030168 2050018787710 3280030060336 4100037575420 6560060120672 8200075150840 13120120241344 16400150301680 26240240482688 32800300603360 65600601206720 131201202413440