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130122320100213 = 37313101319542437
BaseRepresentation
bin11101100101100001110110…
…101010101011101101110101
3122001201120110012212012102210
4131211201312222223231311
5114023411002421201323
61140425211342124033
736260012252332440
oct3545416652535565
9561646405765383
10130122320100213
1138508625461a41
12127166b1880619
13577b6363315cc
14241bd4d6c6657
151009ba8091293
hex765876aabb75

130122320100213 has 32 divisors (see below), whose sum is σ = 199111490862336. Its totient is φ = 74044882948608.

The previous prime is 130122320100203. The next prime is 130122320100229. The reversal of 130122320100213 is 312001023221031.

It is not a de Polignac number, because 130122320100213 - 29 = 130122320099701 is a prime.

It is a super-2 number, since 2×1301223201002132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 130122320100213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122320100203) 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, 3112770 + ... + 16429667.

It is an arithmetic number, because the mean of its divisors is an integer number (6222234089448).

Almost surely, 2130122320100213 is an apocalyptic number.

It is an amenable number.

130122320100213 is a deficient number, since it is larger than the sum of its proper divisors (68989170762123).

130122320100213 is a wasteful number, since it uses less digits than its factorization.

130122320100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19543773.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 130122320100213 its reverse (312001023221031), we get a palindrome (442123343321244).

The spelling of 130122320100213 in words is "one hundred thirty trillion, one hundred twenty-two billion, three hundred twenty million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 7 21 313 939 1013 2191 3039 6573 7091 21273 317069 951207 2219483 6658449 19542437 58627311 136797059 410391177 6116782781 18350348343 19796488681 42817479467 59389466043 128452438401 138575420767 415726262301 6196300957153 18588902871459 43374106700071 130122320100213