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124001051000321 = 1159210132063231
BaseRepresentation
bin11100001100011100111110…
…100110001011111000000001
3121021001101101110010002021102
4130030130332212023320001
5112223113123024002241
61115421144005304145
735055531432433205
oct3414347646137001
9537041343102242
10124001051000321
1136568606652990
1211aa8299105055
135426330bab091
14228997bbd4b05
15e50842a1839b
hex70c73e98be01

124001051000321 has 24 divisors (see below), whose sum is σ = 138967947122688. Its totient is φ = 109720373060000.

The previous prime is 124001051000311. The next prime is 124001051000369. The reversal of 124001051000321 is 123000150100421.

It is not a de Polignac number, because 124001051000321 - 222 = 124001046806017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 124001051000293 and 124001051000302.

It is not an unprimeable number, because it can be changed into a prime (124001051000311) 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 23 ways as a sum of consecutive naturals, for example, 12164225 + ... + 19899006.

It is an arithmetic number, because the mean of its divisors is an integer number (5790331130112).

Almost surely, 2124001051000321 is an apocalyptic number.

124001051000321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124001051000321 is a deficient number, since it is larger than the sum of its proper divisors (14966896122367).

124001051000321 is a wasteful number, since it uses less digits than its factorization.

124001051000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32063461 (or 32063402 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 124001051000321 in words is "one hundred twenty-four trillion, one billion, fifty-one million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 59 101 649 1111 3481 5959 38291 65549 351581 3867391 32063231 352695541 1891730629 3238386331 20809036919 35622249641 111612107111 191064793529 1227733178221 2101712728819 11272822818211 124001051000321