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130012022333000 = 2353243753349209
BaseRepresentation
bin11101100011111011001000…
…011010000101111001001000
3122001100000202101011002020102
4131203323020122011321020
5114020104110204124000
61140302410514144532
736246026053642133
oct3543731032057110
9561300671132212
10130012022333000
1138475875222a25
12126b924b282148
135771109238cb2
142416888b5121a
151006d9ec7b3d5
hex763ec8685e48

130012022333000 has 64 divisors (see below), whose sum is σ = 304352975113200. Its totient is φ = 51983468275200.

The previous prime is 130012022332963. The next prime is 130012022333057. The reversal of 130012022333000 is 333220210031.

It can be written as a sum of positive squares in 8 ways, for example, as 38603928798436 + 91408093534564 = 6213206^2 + 9560758^2 .

It is a super-2 number, since 2×1300120223330002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24237605 + ... + 29111604.

Almost surely, 2130012022333000 is an apocalyptic number.

130012022333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130012022333000 is an abundant number, since it is smaller than the sum of its proper divisors (174340952780200).

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

130012022333000 is a wasteful number, since it uses less digits than its factorization.

130012022333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53351667 (or 53351653 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 130012022333000 its reverse (333220210031), we get a palindrome (130345242543031).

The spelling of 130012022333000 in words is "one hundred thirty trillion, twelve billion, twenty-two million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2437 4874 9748 12185 19496 24370 48740 60925 97480 121850 243700 304625 487400 609250 1218500 2437000 53349209 106698418 213396836 266746045 426793672 533492090 1066984180 1333730225 2133968360 2667460450 5334920900 6668651125 10669841800 13337302250 26674604500 53349209000 130012022333 260024044666 520048089332 650060111665 1040096178664 1300120223330 2600240446660 3250300558325 5200480893320 6500601116650 13001202233300 16251502791625 26002404466600 32503005583250 65006011166500 130012022333000