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131001340212240 = 24351408673874853
BaseRepresentation
bin11101110010010100100000…
…010110010011010000010000
3122011211121100122021112211020
4131302110200112103100100
5114132311221043242430
61142341103533515440
736410351222112021
oct3562244026232020
9564747318245736
10131001340212240
11388173a1396443
1212838b2b942b80
1358134b13c8004
14244c6da5d2c48
1510229a37e4b10
hex772520593410

131001340212240 has 80 divisors (see below), whose sum is σ = 406107142354368. Its totient is φ = 34933433717248.

The previous prime is 131001340212181. The next prime is 131001340212247. The reversal of 131001340212240 is 42212043100131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1310013402122402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131001340212240.

It is not an unprimeable number, because it can be changed into a prime (131001340212247) 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, 31870654 + ... + 35745506.

Almost surely, 2131001340212240 is an apocalyptic number.

131001340212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001340212240 is an abundant number, since it is smaller than the sum of its proper divisors (275105802142128).

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

131001340212240 is a wasteful number, since it uses less digits than its factorization.

131001340212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015736 (or 4015730 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131001340212240 its reverse (42212043100131), we get a palindrome (173213383312371).

The spelling of 131001340212240 in words is "one hundred thirty-one trillion, one billion, three hundred forty million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 140867 281734 422601 563468 704335 845202 1126936 1408670 1690404 2113005 2253872 2817340 3380808 3874853 4226010 5634680 6761616 7749706 8452020 11269360 11624559 15499412 16904040 19374265 23249118 30998824 33808080 38748530 46498236 58122795 61997648 77497060 92996472 116245590 154994120 185992944 232491180 309988240 464982360 929964720 545838917551 1091677835102 1637516752653 2183355670204 2729194587755 3275033505306 4366711340408 5458389175510 6550067010612 8187583763265 8733422680816 10916778351020 13100134021224 16375167526530 21833556702040 26200268042448 32750335053060 43667113404080 65500670106120 131001340212240