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130121000413041 = 311231597571118797
BaseRepresentation
bin11101100101100000101000…
…000000011110011101110001
3122001201110001020122010222010
4131211200220000132131301
5114023400302101204131
61140424432400433133
736256634456225121
oct3545405000363561
9561643036563863
10130121000413041
1138508008538490
12127163a39187a9
13577b485ac2721
14241bc6631cc81
151009b2c2b2b46
hex76582801e771

130121000413041 has 64 divisors (see below), whose sum is σ = 197664691101696. Its totient is φ = 75368020358400.

The previous prime is 130121000413003. The next prime is 130121000413213. The reversal of 130121000413041 is 140314000121031.

It is a de Polignac number, because none of the positive numbers 2k-130121000413041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130121000412999 and 130121000413017.

It is not an unprimeable number, because it can be changed into a prime (130121000413541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6922425055 + ... + 6922443851.

It is an arithmetic number, because the mean of its divisors is an integer number (3088510798464).

Almost surely, 2130121000413041 is an apocalyptic number.

130121000413041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130121000413041 is a deficient number, since it is larger than the sum of its proper divisors (67543690688655).

130121000413041 is a wasteful number, since it uses less digits than its factorization.

130121000413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26142.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 130121000413041 its reverse (140314000121031), we get a palindrome (270435000534072).

The spelling of 130121000413041 in words is "one hundred thirty trillion, one hundred twenty-one billion, four hundred thirteen thousand, forty-one".

Divisors: 1 3 11 23 33 69 253 759 1597 4791 5711 17133 17567 18797 36731 52701 56391 62821 110193 131353 188463 206767 394059 404041 432331 620301 1212123 1296993 1444883 4334649 4755641 9120467 14266923 27361401 30018809 90056427 100325137 107349667 209770741 300975411 322049001 330206899 629312223 690432607 990620697 1180846337 2071297821 2307478151 2469042341 3542539011 6922434453 7407127023 7594758677 22784276031 27159465751 81478397253 171437418199 514312254597 1885811600189 3943060618577 5657434800567 11829181855731 43373666804347 130121000413041