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131201142111580 = 22541160001392819
BaseRepresentation
bin11101110101001110100101…
…011110000011110101011100
3122012112201002011210200022011
4131311032211132003311130
5114144044414340032310
61143012550030001004
736430653416202052
oct3565164536036534
9565481064720264
10131201142111580
1138894101351692
121286b7b1046164
1358292a3676558
1424582522681d2
151027c9968778a
hex7753a5783d5c

131201142111580 has 24 divisors (see below), whose sum is σ = 282242456934480. Its totient is φ = 51200445701760.

The previous prime is 131201142111547. The next prime is 131201142111581. The reversal of 131201142111580 is 85111241102131.

It is a happy number.

131201142111580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312011421115802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201142111581) 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, 80000695590 + ... + 80000697229.

It is an arithmetic number, because the mean of its divisors is an integer number (11760102372270).

Almost surely, 2131201142111580 is an apocalyptic number.

131201142111580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201142111580 is an abundant number, since it is smaller than the sum of its proper divisors (151041314822900).

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

131201142111580 is a wasteful number, since it uses less digits than its factorization.

131201142111580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160001392869 (or 160001392867 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 31.

The spelling of 131201142111580 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred eleven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 160001392819 320002785638 640005571276 800006964095 1600013928190 3200027856380 6560057105579 13120114211158 26240228422316 32800285527895 65600571055790 131201142111580