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122321113001013 = 3535972111808243
BaseRepresentation
bin11011110100000000011010…
…011111010010110000110101
3121001002210011200101111021010
4123310000122133102300311
5112013102114412013023
61112053313223542433
734523260132153443
oct3364003237226065
9531083150344233
10122321113001013
1135a80102425463
12118767992baa19
135333aa694aa44
14222c532aabb93
15e21cbd611093
hex6f401a7d2c35

122321113001013 has 32 divisors (see below), whose sum is σ = 169012082234880. Its totient is φ = 78641746514240.

The previous prime is 122321113000937. The next prime is 122321113001107. The reversal of 122321113001013 is 310100311123221.

It is a cyclic number.

It is not a de Polignac number, because 122321113001013 - 29 = 122321113000501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321113041013) 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 31 ways as a sum of consecutive naturals, for example, 66742270 + ... + 68550512.

It is an arithmetic number, because the mean of its divisors is an integer number (5281627569840).

Almost surely, 2122321113001013 is an apocalyptic number.

It is an amenable number.

122321113001013 is a deficient number, since it is larger than the sum of its proper divisors (46690969233867).

122321113001013 is a wasteful number, since it uses less digits than its factorization.

122321113001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815569.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 122321113001013 its reverse (310100311123221), we get a palindrome (432421424124234).

The spelling of 122321113001013 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, one hundred thirteen million, one thousand, thirteen".

Divisors: 1 3 53 59 159 177 3127 7211 9381 21633 382183 425449 1146549 1276347 1808243 5424729 22548797 67646391 95836879 106686337 287510637 320059011 5654375861 13039240273 16963127583 39117720819 691079734469 769315176107 2073239203407 2307945528321 40773704333671 122321113001013