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122013203301 = 32112176590677
BaseRepresentation
bin111000110100010001…
…1011011101101100101
3102122221022100221020200
41301220203123231211
53444340340001201
6132015130221113
711546413054533
oct1615043335545
9378838327220
10122013203301
11478222aa600
121b791b84799
13b676305322
145c9687b153
153291ac5386
hex1c688dbb65

122013203301 has 36 divisors (see below), whose sum is σ = 205115080716. Its totient is φ = 69597538560.

The previous prime is 122013203281. The next prime is 122013203311. The reversal of 122013203301 is 103302310221.

122013203301 is a `hidden beast` number, since 12 + 2 + 0 + 1 + 320 + 330 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39492023076 + 82521180225 = 198726^2 + 287265^2 .

It is not a de Polignac number, because 122013203301 - 29 = 122013202789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013203311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3276826 + ... + 3313851.

It is an arithmetic number, because the mean of its divisors is an integer number (5697641131).

Almost surely, 2122013203301 is an apocalyptic number.

122013203301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122013203301 is a deficient number, since it is larger than the sum of its proper divisors (83101877415).

122013203301 is a wasteful number, since it uses less digits than its factorization.

122013203301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590722 (or 6590708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122013203301 its reverse (103302310221), we get a palindrome (225315513522).

The spelling of 122013203301 in words is "one hundred twenty-two billion, thirteen million, two hundred three thousand, three hundred one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 18513 6590677 19772031 59316093 72497447 112041509 217492341 336124527 652477023 797471917 1008373581 1232456599 2392415751 3697369797 7177247253 11092109391 13557022589 40671067767 122013203301