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12001011000013 = 723723131286171
BaseRepresentation
bin1010111010100011001111…
…1111110110001011001101
31120111021201002110020002101
42232220303333312023031
53033111032304000023
641305104403155101
72346021145246300
oct256506377661315
946437632406071
1012001011000013
113907666931102
121419a62375a91
136908c8cab849
142d6bcdd90b37
1515c291a761ad
hexaea33ff62cd

12001011000013 has 24 divisors (see below), whose sum is σ = 14338336704864. Its totient is φ = 10008097495200.

The previous prime is 12001011000001. The next prime is 12001011000019. The reversal of 12001011000013 is 31000011010021.

It is not a de Polignac number, because 12001011000013 - 217 = 12001010868941 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 (12001011000019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41793418 + ... + 42079588.

It is an arithmetic number, because the mean of its divisors is an integer number (597430696036).

Almost surely, 212001011000013 is an apocalyptic number.

It is an amenable number.

12001011000013 is a deficient number, since it is larger than the sum of its proper divisors (2337325704851).

12001011000013 is a wasteful number, since it uses less digits than its factorization.

12001011000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309353 (or 309346 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 12001011000013 its reverse (31000011010021), we get a palindrome (43001022010034).

The spelling of 12001011000013 in words is "twelve trillion, one billion, eleven million, thirteen", and thus it is an aban number and an uban number.

Divisors: 1 7 37 49 259 1813 23131 161917 286171 855847 1133419 2003197 5990929 10588327 14022379 41936503 74118289 518828023 6619421401 46335949807 244918591837 324351648649 1714430142859 12001011000013