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122424424431301 = 1737376951640601
BaseRepresentation
bin11011110101100000101000…
…010101000111111011000101
3121001110122211122001220220001
4123311200220111013323011
5112021300210123300201
61112213000522241301
734533605235631606
oct3365405025077305
9531418748056801
10122424424431301
113600a9a7aa2103
1211892810056231
13534075c512395
142233533841dad
15e2481840a301
hex6f5828547ec5

122424424431301 has 16 divisors (see below), whose sum is σ = 133164587565360. Its totient is φ = 112079105740800.

The previous prime is 122424424431293. The next prime is 122424424431311. The reversal of 122424424431301 is 103134424424221.

It can be written as a sum of positive squares in 8 ways, for example, as 13313551703076 + 109110872728225 = 3648774^2 + 10445615^2 .

It is a cyclic number.

It is not a de Polignac number, because 122424424431301 - 23 = 122424424431293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122424424431311) 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, 23449600 + ... + 28191001.

It is an arithmetic number, because the mean of its divisors is an integer number (8322786722835).

Almost surely, 2122424424431301 is an apocalyptic number.

It is an amenable number.

122424424431301 is a deficient number, since it is larger than the sum of its proper divisors (10740163134059).

122424424431301 is a wasteful number, since it uses less digits than its factorization.

122424424431301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51644424.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 122424424431301 its reverse (103134424424221), we get a palindrome (225558848855522).

The spelling of 122424424431301 in words is "one hundred twenty-two trillion, four hundred twenty-four billion, four hundred twenty-four million, four hundred thirty-one thousand, three hundred one".

Divisors: 1 17 37 629 3769 64073 139453 2370701 51640601 877890217 1910702237 32481938029 194633425169 3308768227873 7201436731253 122424424431301