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122100331413 = 3437001135197
BaseRepresentation
bin111000110110110111…
…1110011001110010101
3102200011101022111112210
41301231233303032111
54000030141101123
6132031521504033
711551521456414
oct1615557631625
9380141274483
10122100331413
11478674aa205
121b7b71a2019
13b68b390018
145ca427b47b
153299585e93
hex1c6dbf3395

122100331413 has 16 divisors (see below), whose sum is σ = 166611525696. Its totient is φ = 79495248000.

The previous prime is 122100331387. The next prime is 122100331417. The reversal of 122100331413 is 314133001221.

It is not a de Polignac number, because 122100331413 - 218 = 122100069269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122100331413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100331417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835531 + ... + 970727.

It is an arithmetic number, because the mean of its divisors is an integer number (10413220356).

Almost surely, 2122100331413 is an apocalyptic number.

It is an amenable number.

122100331413 is a deficient number, since it is larger than the sum of its proper divisors (44511194283).

122100331413 is a wasteful number, since it uses less digits than its factorization.

122100331413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142244.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122100331413 its reverse (314133001221), we get a palindrome (436233332634).

The spelling of 122100331413 in words is "one hundred twenty-two billion, one hundred million, three hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 43 129 7001 21003 135197 301043 405591 903129 5813471 17440413 946514197 2839542591 40700110471 122100331413