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124202144220401 = 13171153487424677
BaseRepresentation
bin11100001111011000010000…
…101011111100010011110001
3121021202121102222111002210102
4130033120100223330103301
5112234411442410023101
61120053402151042145
735106210626544602
oct3417302053742361
9537677388432712
10124202144220401
1136635919518555
1211b1b25a970355
13543c29a845c30
1422955b716bda9
15e55bb1e3486b
hex70f610afc4f1

124202144220401 has 16 divisors (see below), whose sum is σ = 141746995759824. Its totient is φ = 107810539536384.

The previous prime is 124202144220317. The next prime is 124202144220433. The reversal of 124202144220401 is 104022441202421.

It can be written as a sum of positive squares in 8 ways, for example, as 6466645561600 + 117735498658801 = 2542960^2 + 10850599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-124202144220401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (124202144220461) 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, 243457526 + ... + 243967151.

It is an arithmetic number, because the mean of its divisors is an integer number (8859187234989).

Almost surely, 2124202144220401 is an apocalyptic number.

It is an amenable number.

124202144220401 is a deficient number, since it is larger than the sum of its proper divisors (17544851539423).

124202144220401 is a wasteful number, since it uses less digits than its factorization.

124202144220401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487425860.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 124202144220401 its reverse (104022441202421), we get a palindrome (228224585422822).

The spelling of 124202144220401 in words is "one hundred twenty-four trillion, two hundred two billion, one hundred forty-four million, two hundred twenty thousand, four hundred one".

Divisors: 1 13 17 221 1153 14989 19601 254813 487424677 6336520801 8286219509 107720853617 562000652581 7306008483553 9554011093877 124202144220401