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122919723901 = 13296110949037
BaseRepresentation
bin111001001111010010…
…1100010001101111101
3102202021111010221201201
41302132211202031331
54003214422131101
6132245112135501
711611031261662
oct1623645421575
9382244127651
10122919723901
1148147a85987
121b9a5697591
13b78c072950
145d41013a69
1532e648de01
hex1c9e96237d

122919723901 has 32 divisors (see below), whose sum is σ = 140464447200. Its totient is φ = 106765102080.

The previous prime is 122919723889. The next prime is 122919723947. The reversal of 122919723901 is 109327919221.

It can be written as a sum of positive squares in 16 ways, for example, as 22984076025 + 99935647876 = 151605^2 + 316126^2 .

It is not a de Polignac number, because 122919723901 - 211 = 122919721853 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 (122919723961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2482155 + ... + 2531191.

It is an arithmetic number, because the mean of its divisors is an integer number (4389513975).

Almost surely, 2122919723901 is an apocalyptic number.

It is an amenable number.

122919723901 is a deficient number, since it is larger than the sum of its proper divisors (17544723299).

122919723901 is a wasteful number, since it uses less digits than its factorization.

122919723901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49249.

The product of its (nonzero) digits is 122472, while the sum is 46.

The spelling of 122919723901 in words is "one hundred twenty-two billion, nine hundred nineteen million, seven hundred twenty-three thousand, nine hundred one".

Divisors: 1 13 29 61 109 377 793 1417 1769 3161 6649 22997 41093 49037 86437 192821 637481 1422073 2506673 2991257 5345033 18486949 38886341 69485429 86746453 155005957 326047013 1127703889 2015077441 4238611169 9455363377 122919723901