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131021143323040 = 255978442083977
BaseRepresentation
bin11101110010100110111100…
…101101001011000110100000
3122011220111110202022210212101
4131302212330231023012200
5114133122300142314130
61142354140551140144
736411652033555645
oct3562467455130640
9564814422283771
10131021143323040
1138824833767713
1212840937974654
135815319067559
14244d6586a5dcc
15102326211d1ca
hex7729bcb4b1a0

131021143323040 has 48 divisors (see below), whose sum is σ = 312728558881032. Its totient is φ = 51868163948544.

The previous prime is 131021143323023. The next prime is 131021143323047. The reversal of 131021143323040 is 40323341120131.

It can be written as a sum of positive squares in 4 ways, for example, as 54978487903504 + 76042655419536 = 7414748^2 + 8720244^2 .

It is not an unprimeable number, because it can be changed into a prime (131021143323047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4221026469 + ... + 4221057508.

Almost surely, 2131021143323040 is an apocalyptic number.

131021143323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021143323040 is an abundant number, since it is smaller than the sum of its proper divisors (181707415557992).

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

131021143323040 is an equidigital number, since it uses as much as digits as its factorization.

131021143323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442084089 (or 8442084081 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131021143323040 its reverse (40323341120131), we get a palindrome (171344484443171).

The spelling of 131021143323040 in words is "one hundred thirty-one trillion, twenty-one billion, one hundred forty-three million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 15520 8442083977 16884167954 33768335908 42210419885 67536671816 84420839770 135073343632 168841679540 270146687264 337683359080 675366718160 818882145769 1350733436320 1637764291538 3275528583076 4094410728845 6551057166152 8188821457690 13102114332304 16377642915380 26204228664608 32755285830760 65510571661520 131021143323040