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122132534109 = 31925911291693
BaseRepresentation
bin111000110111110101…
…0101001001101011101
3102200020121220120100020
41301233222221031131
54000111412042414
6132035032022353
711552362261005
oct1615752511535
9380217816306
10122132534109
11478836a4603
121b805b319b9
13b694c56781
145ca8661005
15329c2e77a9
hex1c6faa935d

122132534109 has 48 divisors (see below), whose sum is σ = 175036276800. Its totient is φ = 75717027072.

The previous prime is 122132534107. The next prime is 122132534141. The reversal of 122132534109 is 901435231221.

It is not a de Polignac number, because 122132534109 - 21 = 122132534107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122132534109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132534101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72138867 + ... + 72140559.

It is an arithmetic number, because the mean of its divisors is an integer number (3646589100).

Almost surely, 2122132534109 is an apocalyptic number.

122132534109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

122132534109 is a deficient number, since it is larger than the sum of its proper divisors (52903742691).

122132534109 is a wasteful number, since it uses less digits than its factorization.

122132534109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 122132534109 in words is "one hundred twenty-two billion, one hundred thirty-two million, five hundred thirty-four thousand, one hundred nine".

Divisors: 1 3 19 57 59 177 361 1083 1121 1129 1693 3363 3387 5079 21299 21451 32167 63897 64353 66611 96501 99887 199833 299661 407569 611173 1222707 1265609 1833519 1897853 1911397 3796827 5693559 5734191 24046571 36059207 36316543 72139713 108177621 108949629 112772423 338317269 690014317 2070042951 2142676037 6428028111 40710844703 122132534109