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122100321131 = 475994337027
BaseRepresentation
bin111000110110110111…
…1110000101101101011
3102200011101021222102222
41301231233300231223
54000030140234011
6132031521344255
711551521414425
oct1615557605553
9380141258388
10122100321131
11478674a2508
121b7b719808b
13b68b388439
145ca4277815
153299582ddb
hex1c6dbf0b6b

122100321131 has 8 divisors (see below), whose sum is σ = 124906406400. Its totient is φ = 119302911208.

The previous prime is 122100321107. The next prime is 122100321137. The reversal of 122100321131 is 131123001221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122100321131 - 222 = 122096126827 is a prime.

It is a super-2 number, since 2×1221003211312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122100321137) 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 7 ways as a sum of consecutive naturals, for example, 2140361 + ... + 2196666.

It is an arithmetic number, because the mean of its divisors is an integer number (15613300800).

Almost surely, 2122100321131 is an apocalyptic number.

122100321131 is a deficient number, since it is larger than the sum of its proper divisors (2806085269).

122100321131 is an equidigital number, since it uses as much as digits as its factorization.

122100321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337673.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122100321131 its reverse (131123001221), we get a palindrome (253223322352).

The spelling of 122100321131 in words is "one hundred twenty-two billion, one hundred million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 47 599 28153 4337027 203840269 2597879173 122100321131