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122131313311 = 7829127716481
BaseRepresentation
bin111000110111110010…
…1111111001010011111
3102200020112121112201111
41301233211333022133
54000111104011221
6132034545522451
711552346014560
oct1615745771237
9380215545644
10122131313311
1147882a40387
121b805643427
13b694919bc7
145ca8424167
15329c155be1
hex1c6f97f29f

122131313311 has 16 divisors (see below), whose sum is σ = 139864933440. Its totient is φ = 104469488640.

The previous prime is 122131313303. The next prime is 122131313329. The reversal of 122131313311 is 113313131221.

It is a cyclic number.

It is not a de Polignac number, because 122131313311 - 23 = 122131313303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131313111) 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, 7402191 + ... + 7418671.

It is an arithmetic number, because the mean of its divisors is an integer number (8741558340).

Almost surely, 2122131313311 is an apocalyptic number.

122131313311 is a deficient number, since it is larger than the sum of its proper divisors (17733620129).

122131313311 is a wasteful number, since it uses less digits than its factorization.

122131313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18594.

The product of its digits is 324, while the sum is 22.

Adding to 122131313311 its reverse (113313131221), we get a palindrome (235444444532).

The spelling of 122131313311 in words is "one hundred twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 7 829 1277 5803 8939 16481 115367 1058633 7410431 13662749 21046237 95639243 147323659 17447330473 122131313311