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122410414401 = 31110136726797
BaseRepresentation
bin111001000000000111…
…0101011000101000001
3102200221222210100102220
41302000032223011001
54001144031230101
6132122400001253
711562305232432
oct1620016530501
9380858710386
10122410414401
1147a06540140
121b883000229
13b70a6ab392
145cd3517489
1532b68d7636
hex1c803ab141

122410414401 has 16 divisors (see below), whose sum is σ = 179814403008. Its totient is φ = 73453592000.

The previous prime is 122410414397. The next prime is 122410414403. The reversal of 122410414401 is 104414014221.

It is a cyclic number.

It is not a de Polignac number, because 122410414401 - 22 = 122410414397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122410414403) 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, 18360066 + ... + 18366731.

It is an arithmetic number, because the mean of its divisors is an integer number (11238400188).

Almost surely, 2122410414401 is an apocalyptic number.

122410414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122410414401 is a deficient number, since it is larger than the sum of its proper divisors (57403988607).

122410414401 is a wasteful number, since it uses less digits than its factorization.

122410414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36726912.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122410414401 its reverse (104414014221), we get a palindrome (226824428622).

The spelling of 122410414401 in words is "one hundred twenty-two billion, four hundred ten million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 11 33 101 303 1111 3333 36726797 110180391 403994767 1211984301 3709406497 11128219491 40803471467 122410414401