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124107375841801 = 11423240032
BaseRepresentation
bin11100001110000000000000…
…000011010001001000001001
3121021102112211102001122221021
4130032000000003101020021
5112231333401203414201
61115542050311512441
735066314316611612
oct3416000003211011
9537375742048837
10124107375841801
11365a9708210000
1211b04a11088721
135433376b71371
142290b86c62c09
15e534b7154ea1
hex70e0000d1209

124107375841801 has 45 divisors (see below), whose sum is σ = 142746525598845. Its totient is φ = 107892497609160.

The previous prime is 124107375841741. The next prime is 124107375841837. The reversal of 124107375841801 is 108148573701421.

The square root of 124107375841801 is 11140349.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 124107375841801 - 215 = 124107375809033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124107375841601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31003589266 + ... + 31003593268.

Almost surely, 2124107375841801 is an apocalyptic number.

124107375841801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

124107375841801 is the 11140349-th square number.

124107375841801 is the 5570175-th centered octagonal number.

It is an amenable number.

124107375841801 is a deficient number, since it is larger than the sum of its proper divisors (18639149757044).

124107375841801 is an frugal number, since it uses more digits than its factorization.

124107375841801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 52.

The spelling of 124107375841801 in words is "one hundred twenty-four trillion, one hundred seven billion, three hundred seventy-five million, eight hundred forty-one thousand, eight hundred one".

Divisors: 1 11 23 121 253 529 1331 2783 4003 5819 14641 30613 44033 64009 92069 336743 484363 704099 1012759 2117587 5327993 7745089 11140349 16024009 23293457 58607923 122543839 176264099 256228027 368552207 1347982229 1938905089 2818508297 4054074277 8476700761 21327955979 31003591267 44594817047 93243708371 234607515769 490542987517 1025680792081 5395972862687 11282488712891 124107375841801