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12372144101 = 193779222773
BaseRepresentation
bin10111000010110111…
…11110111111100101
31011221020101001002022
423201123332333211
5200314232102401
65403401552525
7615410326652
oct134133767745
934836331068
1012372144101
115279830a89
1224934a5745
1312222a2035
14855210c29
154c628071b
hex2e16fefe5

12372144101 has 16 divisors (see below), whose sum is σ = 13544659200. Its totient is φ = 11259787968.

The previous prime is 12372144097. The next prime is 12372144137. The reversal of 12372144101 is 10144127321.

It is a cyclic number.

It is not a de Polignac number, because 12372144101 - 22 = 12372144097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12372143101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55850 + ... + 166923.

It is an arithmetic number, because the mean of its divisors is an integer number (846541200).

Almost surely, 212372144101 is an apocalyptic number.

It is an amenable number.

12372144101 is a deficient number, since it is larger than the sum of its proper divisors (1172515099).

12372144101 is a wasteful number, since it uses less digits than its factorization.

12372144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222908.

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 12372144101 in words is "twelve billion, three hundred seventy-two million, one hundred forty-four thousand, one hundred one".

Divisors: 1 19 37 79 703 1501 2923 55537 222773 4232687 8242601 17599067 156609419 334382273 651165479 12372144101