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122240013 = 3717437963
BaseRepresentation
bin1110100100100…
…11110000001101
322112000102202220
413102103300031
5222243140023
620044005553
73013010610
oct722236015
9275012686
10122240013
1163001805
1234b308b9
131c42c68c
1412340177
15aae93e3
hex7493c0d

122240013 has 32 divisors (see below), whose sum is σ = 201839616. Its totient is φ = 64205568.

The previous prime is 122240011. The next prime is 122240023. The reversal of 122240013 is 310042221.

It is not a de Polignac number, because 122240013 - 21 = 122240011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122239974 and 122240001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122240011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11370 + ... + 19332.

It is an arithmetic number, because the mean of its divisors is an integer number (6307488).

Almost surely, 2122240013 is an apocalyptic number.

It is an amenable number.

122240013 is a deficient number, since it is larger than the sum of its proper divisors (79599603).

122240013 is a wasteful number, since it uses less digits than its factorization.

122240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122240013 is about 11056.2205567726. The cubic root of 122240013 is about 496.2925955819.

Adding to 122240013 its reverse (310042221), we get a palindrome (432282234).

The spelling of 122240013 in words is "one hundred twenty-two million, two hundred forty thousand, thirteen".

Divisors: 1 3 7 17 21 43 51 119 129 301 357 731 903 2193 5117 7963 15351 23889 55741 135371 167223 342409 406113 947597 1027227 2396863 2842791 5820953 7190589 17462859 40746671 122240013