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122102112322021 = 13175066891090409
BaseRepresentation
bin11011110000110100011101…
…000010000000000111100101
3121000022211220010222022020011
4123300310131002000013211
5112001010111223301041
61111404534103210221
734501405112125036
oct3360643502000745
9530284803868204
10122102112322021
11359a6240234977
121184025a446971
135319244cb4060
142221ab9316a8d
15e1b25201ae81
hex6f0d1d0801e5

122102112322021 has 16 divisors (see below), whose sum is σ = 139229960410800. Its totient is φ = 106079356551168.

The previous prime is 122102112322019. The next prime is 122102112322031. The reversal of 122102112322021 is 120223211201221.

It can be written as a sum of positive squares in 8 ways, for example, as 8392093341921 + 113710018980100 = 2896911^2 + 10663490^2 .

It is not a de Polignac number, because 122102112322021 - 21 = 122102112322019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122102112321983 and 122102112322001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102112322031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111433065 + ... + 112523473.

It is an arithmetic number, because the mean of its divisors is an integer number (8701872525675).

Almost surely, 2122102112322021 is an apocalyptic number.

It is an amenable number.

122102112322021 is a deficient number, since it is larger than the sum of its proper divisors (17127848088779).

122102112322021 is a wasteful number, since it uses less digits than its factorization.

122102112322021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597128.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122102112322021 its reverse (120223211201221), we get a palindrome (242325323523242).

The spelling of 122102112322021 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twelve million, three hundred twenty-two thousand, twenty-one".

Divisors: 1 13 17 221 506689 1090409 6586957 8613713 14175317 18536953 111978269 240980389 552498245801 7182477195413 9392470178617 122102112322021