Search a number
-
+
13120013101122 = 2325179140739451
BaseRepresentation
bin1011111011101011110110…
…1110000110100001000010
31201110021001021022202010200
42332322331232012201002
53204424241323213442
643523130101510030
72522614104210444
oct276727556064102
951407037282120
1013120013101122
1141a91913a2994
12157a8b5a12316
1374229a7aba15
14335024dbc494
1517b43587934c
hexbeebdb86842

13120013101122 has 24 divisors (see below), whose sum is σ = 28432184093040. Its totient is φ = 4372493232600.

The previous prime is 13120013101093. The next prime is 13120013101127. The reversal of 13120013101122 is 22110131002131.

13120013101122 is a `hidden beast` number, since 1 + 31 + 200 + 1 + 310 + 1 + 122 = 666.

It is a super-2 number, since 2×131200131011222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13120013101095 and 13120013101104.

It is not an unprimeable number, because it can be changed into a prime (13120013101127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70276504 + ... + 70462947.

It is an arithmetic number, because the mean of its divisors is an integer number (1184674337210).

Almost surely, 213120013101122 is an apocalyptic number.

13120013101122 is an abundant number, since it is smaller than the sum of its proper divisors (15312170991918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13120013101122 is a wasteful number, since it uses less digits than its factorization.

13120013101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140744638 (or 140744635 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13120013101122 its reverse (22110131002131), we get a palindrome (35230144103253).

The spelling of 13120013101122 in words is "thirteen trillion, one hundred twenty billion, thirteen million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 5179 10358 15537 31074 46611 93222 140739451 281478902 422218353 844436706 1266655059 2533310118 728889616729 1457779233458 2186668850187 4373337700374 6560006550561 13120013101122