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122112123131 = 1943331451553
BaseRepresentation
bin111000110111001110…
…0110010000011111011
3102200012012111120202002
41301232130302003323
54000041200420011
6132033022331215
711552023630535
oct1615634620373
9380165446662
10122112123131
1147873123529
121b7bb129b0b
13b69095b27b
145ca5a6a855
15329a614c3b
hex1c6e7320fb

122112123131 has 16 divisors (see below), whose sum is σ = 131926016640. Its totient is φ = 112653192960.

The previous prime is 122112122999. The next prime is 122112123151. The reversal of 122112123131 is 131321211221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112123131 is a prime.

It is a super-2 number, since 2×1221121231312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112123151) 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, 44651 + ... + 496203.

It is an arithmetic number, because the mean of its divisors is an integer number (8245376040).

Almost surely, 2122112123131 is an apocalyptic number.

122112123131 is a deficient number, since it is larger than the sum of its proper divisors (9813893509).

122112123131 is a wasteful number, since it uses less digits than its factorization.

122112123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451946.

The product of its digits is 144, while the sum is 20.

Adding to 122112123131 its reverse (131321211221), we get a palindrome (253433334352).

The spelling of 122112123131 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 19 43 331 817 6289 14233 270427 451553 8579507 19416779 149464043 368918801 2839816817 6426953849 122112123131