Search a number
-
+
122013311293 = 1091577129861
BaseRepresentation
bin111000110100010001…
…1110110000100111101
3102122221022120102101101
41301220203312010331
53444340401430133
6132015132413101
711546414014426
oct1615043660475
9378838512341
10122013311293
1147822373755
121b792017191
13b676342523
145c968a864d
153291ae737d
hex1c688f613d

122013311293 has 8 divisors (see below), whose sum is σ = 123917001560. Its totient is φ = 120123881280.

The previous prime is 122013311263. The next prime is 122013311323. The reversal of 122013311293 is 392113310221.

It is an interprime number because it is at equal distance from previous prime (122013311263) and next prime (122013311323).

It can be written as a sum of positive squares in 4 ways, for example, as 58930961049 + 63082350244 = 242757^2 + 251162^2 .

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 122013311293 - 217 = 122013180221 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 (122013311263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3547818 + ... + 3582043.

It is an arithmetic number, because the mean of its divisors is an integer number (15489625195).

Almost surely, 2122013311293 is an apocalyptic number.

It is an amenable number.

122013311293 is a deficient number, since it is larger than the sum of its proper divisors (1903690267).

122013311293 is a wasteful number, since it uses less digits than its factorization.

122013311293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130127.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 122013311293 in words is "one hundred twenty-two billion, thirteen million, three hundred eleven thousand, two hundred ninety-three".

Divisors: 1 109 157 17113 7129861 777154849 1119388177 122013311293