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131021220413052 = 22331500538084873
BaseRepresentation
bin11101110010100111000001…
…010011001111111001111100
3122011220111200010101101111000
4131302213001103033321330
5114133122424411204202
61142354152343330300
736411653661042114
oct3562470123177174
9564814603341430
10131021220413052
1138824873230572
1212840959750990
13581532c019248
14244d664a12044
151023268c9991c
hex7729c14cfe7c

131021220413052 has 48 divisors (see below), whose sum is σ = 339686951294880. Its totient is φ = 43673443680384.

The previous prime is 131021220412997. The next prime is 131021220413053. The reversal of 131021220413052 is 250314022120131.

It is a happy number.

131021220413052 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 21 + 220 + 413 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021220413053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12163288 + ... + 20248160.

It is an arithmetic number, because the mean of its divisors is an integer number (7076811485310).

Almost surely, 2131021220413052 is an apocalyptic number.

131021220413052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131021220413052 is an abundant number, since it is smaller than the sum of its proper divisors (208665730881828).

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

131021220413052 is a wasteful number, since it uses less digits than its factorization.

131021220413052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234939 (or 8234931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131021220413052 its reverse (250314022120131), we get a palindrome (381335242533183).

The spelling of 131021220413052 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred twenty million, four hundred thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 150053 300106 450159 600212 900318 1350477 1800636 2700954 4051431 5401908 8084873 8102862 16169746 16205724 24254619 32339492 48509238 72763857 97018476 145527714 218291571 291055428 436583142 873166284 1213159448269 2426318896538 3639478344807 4852637793076 7278956689614 10918435034421 14557913379228 21836870068842 32755305103263 43673740137684 65510610206526 131021220413052