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122300332013313 = 3373467913261357
BaseRepresentation
bin11011110011101101000011…
…110110000111011100000001
3121001000210112102021221022000
4123303231003312013130001
5112012232034443411223
61112035555155134213
734521623144526456
oct3363550366073401
9531023472257260
10122300332013313
1135a72309070863
12118727598a4369
135331b44518c0c
14222b520ba982d
15e214a4026543
hex6f3b43d87701

122300332013313 has 32 divisors (see below), whose sum is σ = 183706940102400. Its totient is φ = 80399463884928.

The previous prime is 122300332013291. The next prime is 122300332013339. The reversal of 122300332013313 is 313310233003221.

122300332013313 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 0 + 3 + 320 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 122300332013313 - 212 = 122300332009217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122300332013513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2591631 + ... + 15852987.

It is an arithmetic number, because the mean of its divisors is an integer number (5740841878200).

Almost surely, 2122300332013313 is an apocalyptic number.

It is an amenable number.

122300332013313 is a deficient number, since it is larger than the sum of its proper divisors (61406608089087).

122300332013313 is a wasteful number, since it uses less digits than its factorization.

122300332013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266118 (or 13266112 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 122300332013313 its reverse (313310233003221), we get a palindrome (435610565016534).

The spelling of 122300332013313 in words is "one hundred twenty-two trillion, three hundred billion, three hundred thirty-two million, thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 27 73 219 657 1971 4679 14037 42111 126333 341567 1024701 3074103 9222309 13261357 39784071 119352213 358056639 968079061 2904237183 8712711549 26138134647 62049889403 186149668209 558449004627 1675347013881 4529641926419 13588925779257 40766777337771 122300332013313