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131433211111240 = 23533723473415381
BaseRepresentation
bin11101111000100110101101…
…110111000010011101001000
3122020100220002110120100010201
4131320212231313002131020
5114211400204021024430
61143311330022021544
736453510332145643
oct3570465567023510
9566326073510121
10131433211111240
113897356a240995
12128a87785778b4
1358451388b326c
142465589490a5a
15102dd2d1c78ca
hex7789addc2748

131433211111240 has 64 divisors (see below), whose sum is σ = 296615596408560. Its totient is φ = 52414921359360.

The previous prime is 131433211111199. The next prime is 131433211111249. The reversal of 131433211111240 is 42111112334131.

It can be written as a sum of positive squares in 8 ways, for example, as 38793240610084 + 92639970501156 = 6228422^2 + 9624966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131433211111199 and 131433211111208.

It is not an unprimeable number, because it can be changed into a prime (131433211111249) 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, 316208350 + ... + 316623730.

Almost surely, 2131433211111240 is an apocalyptic number.

131433211111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131433211111240 is an abundant number, since it is smaller than the sum of its proper divisors (165182385297320).

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

131433211111240 is a wasteful number, since it uses less digits than its factorization.

131433211111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439202 (or 439198 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 131433211111240 its reverse (42111112334131), we get a palindrome (173544323445371).

The spelling of 131433211111240 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, two hundred eleven million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 13480 23473 46946 93892 117365 187784 234730 415381 469460 830762 938920 1661524 2076905 3323048 4153810 7910401 8307620 15820802 16615240 31641604 39552005 63283208 79104010 139983397 158208020 279966794 316416040 559933588 699916985 1119867176 1399833970 2799667940 5599335880 9750238213 19500476426 39000952852 48751191065 78001905704 97502382130 195004764260 390009528520 3285830277781 6571660555562 13143321111124 16429151388905 26286642222248 32858302777810 65716605555620 131433211111240