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124121411131213 = 2925935449302921
BaseRepresentation
bin11100001110001101000100…
…100111101001011101001101
3121021110220001112221020111001
4130032031010213221131031
5112232101122222144323
61115552331124500301
735100322163605666
oct3416150447513515
9537426045836431
10124121411131213
113660465a821741
1211b0768954a691
1354347a2887942
142291718cc436d
15e53a394093ad
hex70e3449e974d

124121411131213 has 16 divisors (see below), whose sum is σ = 128474975718000. Its totient is φ = 119772765020160.

The previous prime is 124121411131187. The next prime is 124121411131273. The reversal of 124121411131213 is 312131114121421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 131744484 + 124121279386729 = 11478^2 + 11140973^2 .

It is a cyclic number.

It is not a de Polignac number, because 124121411131213 - 25 = 124121411131181 is a prime.

It is a super-3 number, since 3×1241214111312133 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124121411131273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409596993 + ... + 409899913.

It is an arithmetic number, because the mean of its divisors is an integer number (8029685982375).

Almost surely, 2124121411131213 is an apocalyptic number.

It is an amenable number.

124121411131213 is a deficient number, since it is larger than the sum of its proper divisors (4353564586787).

124121411131213 is a wasteful number, since it uses less digits than its factorization.

124121411131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310992.

The product of its digits is 1152, while the sum is 28.

Adding to 124121411131213 its reverse (312131114121421), we get a palindrome (436252525252634).

The spelling of 124121411131213 in words is "one hundred twenty-four trillion, one hundred twenty-one billion, four hundred eleven million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 29 2593 5449 75197 158021 302921 8784709 14129257 409748453 785474153 1650616529 22778750437 47867879341 4280048659697 124121411131213