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122323220201 = 72131511737351
BaseRepresentation
bin111000111101100001…
…0000011011011101001
3102200201220201102111002
41301323002003123221
54001004221021301
6132110003044345
711560166134100
oct1617302033351
9380656642432
10122323220201
11479712a5916
121b8599706b5
13b6c55cc590
145cc5adb037
1532ade1216b
hex1c7b0836e9

122323220201 has 48 divisors (see below), whose sum is σ = 155167665408. Its totient is φ = 95573520000.

The previous prime is 122323220119. The next prime is 122323220249. The reversal of 122323220201 is 102022323221.

It is a happy number.

It is not a de Polignac number, because 122323220201 - 230 = 121249478377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122323250201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16636676 + ... + 16644026.

It is an arithmetic number, because the mean of its divisors is an integer number (3232659696).

Almost surely, 2122323220201 is an apocalyptic number.

It is an amenable number.

122323220201 is a deficient number, since it is larger than the sum of its proper divisors (32844445207).

122323220201 is a wasteful number, since it uses less digits than its factorization.

122323220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702 (or 7695 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122323220201 its reverse (102022323221), we get a palindrome (224345543422).

The spelling of 122323220201 in words is "one hundred twenty-two billion, three hundred twenty-three million, two hundred twenty thousand, two hundred one".

Divisors: 1 7 13 49 91 151 173 637 1057 1211 1963 2249 7351 7399 8477 13741 15743 26123 51457 95563 96187 110201 182861 339599 360199 668941 1110001 1271723 1280027 2377193 4682587 7770007 8902061 14430013 16532399 16640351 54390049 62314427 101010091 115726793 192030173 707070637 810087551 1344211211 2496392249 9409478477 17474745743 122323220201