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124121411000431 = 1333138974152493
BaseRepresentation
bin11100001110001101000100…
…100111001001100001101111
3121021110220001112200121002021
4130032031010213021201233
5112232101122204003211
61115552331122011011
735100322162522465
oct3416150447114157
9537426045617067
10124121411000431
113660465a742459
1211b076894a6a67
1354347a2840260
142291718c8c835
15e53a393d0771
hex70e3449c986f

124121411000431 has 16 divisors (see below), whose sum is σ = 134417708923680. Its totient is φ = 113933820908160.

The previous prime is 124121411000401. The next prime is 124121411000441. The reversal of 124121411000431 is 134000114121421.

It is a cyclic number.

It is not a de Polignac number, because 124121411000431 - 239 = 123571655186543 is a prime.

It is a super-2 number, since 2×1241214110004312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124121411000396 and 124121411000405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124121411000401) 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, 35402380 + ... + 38750113.

It is an arithmetic number, because the mean of its divisors is an integer number (8401106807730).

Almost surely, 2124121411000431 is an apocalyptic number.

124121411000431 is a deficient number, since it is larger than the sum of its proper divisors (10296297923249).

124121411000431 is a wasteful number, since it uses less digits than its factorization.

124121411000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74153226.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 124121411000431 its reverse (134000114121421), we get a palindrome (258121525121852).

The spelling of 124121411000431 in words is "one hundred twenty-four trillion, one hundred twenty-one billion, four hundred eleven million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 13 331 389 4303 5057 128759 1673867 74152493 963982409 24544475183 28845319777 319078177379 374989157101 9547800846187 124121411000431