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124004202013431 = 32239463745916693
BaseRepresentation
bin11100001100011111111010…
…011010010110001011110111
3121021001200112001022010122200
4130030133322122112023313
5112223141101203412211
61115422424410355543
735056002503545305
oct3414377232261367
9537050461263580
10124004202013431
1136569983287753
1211aa8a1842bbb3
13542671395768c
142289b9a4ab275
15e5097948bb56
hex70c7fa6962f7

124004202013431 has 48 divisors (see below), whose sum is σ = 180290071603200. Its totient is φ = 82129832680896.

The previous prime is 124004202013427. The next prime is 124004202013459. The reversal of 124004202013431 is 134310202400421.

124004202013431 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 4 + 20 + 201 + 3 + 431 = 666.

It is not a de Polignac number, because 124004202013431 - 22 = 124004202013427 is a prime.

It is a super-2 number, since 2×1240042020134312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124004202013395 and 124004202013404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124004202013421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7428506721 + ... + 7428523413.

It is an arithmetic number, because the mean of its divisors is an integer number (3756043158400).

Almost surely, 2124004202013431 is an apocalyptic number.

124004202013431 is a deficient number, since it is larger than the sum of its proper divisors (56285869589769).

124004202013431 is a wasteful number, since it uses less digits than its factorization.

124004202013431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24860 (or 24857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124004202013431 its reverse (134310202400421), we get a palindrome (258314404413852).

The spelling of 124004202013431 in words is "one hundred twenty-four trillion, four billion, two hundred two million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 239 463 717 1389 2151 4167 7459 16693 22377 50079 67131 110657 150237 331971 995913 1782701 3453517 3989627 5348103 7728859 10360551 11968881 16044309 23186577 31081653 35906643 69559731 124513087 373539261 825390563 1120617783 1847197301 2476171689 5541591903 7428515067 16624775709 29758627793 57649559281 89275883379 172948677843 267827650137 518846033529 13778244668159 41334734004477 124004202013431