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131024213245201 = 37471637361312739
BaseRepresentation
bin11101110010101001110011…
…101011111111110100010001
3122011220210101200221000101011
4131302221303223333310101
5114133200042042321301
61142355405334210521
736412121101512223
oct3562516353776421
9564823350830334
10131024213245201
1138826069645671
1212841453ab3a41
1358156b8091043
14244d86a2b0413
1510233918c4a51
hex772a73affd11

131024213245201 has 32 divisors (see below), whose sum is σ = 137561311480320. Its totient is φ = 124650096189696.

The previous prime is 131024213245157. The next prime is 131024213245207. The reversal of 131024213245201 is 102542312420131.

It is a cyclic number.

It is not a de Polignac number, because 131024213245201 - 211 = 131024213243153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131024213245207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10285276090 + ... + 10285288828.

It is an arithmetic number, because the mean of its divisors is an integer number (4298790983760).

Almost surely, 2131024213245201 is an apocalyptic number.

It is an amenable number.

131024213245201 is a deficient number, since it is larger than the sum of its proper divisors (6537098235119).

131024213245201 is a wasteful number, since it uses less digits than its factorization.

131024213245201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18073.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 131024213245201 its reverse (102542312420131), we get a palindrome (233566525665332).

The spelling of 131024213245201 in words is "one hundred thirty-one trillion, twenty-four billion, two hundred thirteen million, two hundred forty-five thousand, two hundred one".

Divisors: 1 37 47 1637 1739 3613 12739 60569 76939 133681 169811 471343 598733 2846743 5914481 6283007 20853743 22153121 46026007 218835797 277980607 771588491 980125921 1702962259 2163222329 10285282459 36264659077 75344573459 80039226173 2787749217983 3541194952573 131024213245201