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124121421 = 32293712853
BaseRepresentation
bin1110110010111…
…11000101001101
322122120000120200
413121133011031
5223233341141
620152204113
73035005014
oct731370515
9278500520
10124121421
1164077296
1235699639
131c93ab38
14126ada7b
15ad6bab6
hex765f14d

124121421 has 24 divisors (see below), whose sum is σ = 190496280. Its totient is φ = 77728896.

The previous prime is 124121399. The next prime is 124121429.

124121421 is a `hidden beast` number, since 1 + 241 + 2 + 1 + 421 = 666.

124121421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 28355625 + 95765796 = 5325^2 + 9786^2 .

It is not a de Polignac number, because 124121421 - 218 = 123859277 is a prime.

It is a super-2 number, since 2×1241214212 = 30812254302118482, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124121394 and 124121403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124121429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (7937345).

Almost surely, 2124121421 is an apocalyptic number.

It is an amenable number.

124121421 is a deficient number, since it is larger than the sum of its proper divisors (66374859).

124121421 is a wasteful number, since it uses less digits than its factorization.

124121421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12925 (or 12922 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 124121421 is about 11140.9793555145. The cubic root of 124121421 is about 498.8258060289.

The spelling of 124121421 in words is "one hundred twenty-four million, one hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 12853 38559 115677 372737 475561 1118211 1426683 3354633 4280049 13791269 41373807 124121421