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12020001002113 = 133741986369109
BaseRepresentation
bin1010111011101001111111…
…1000111101001010000001
31120120002201112111021200111
42232322133320331022001
53033413430224031423
641321525012551321
72350262554512016
oct256723770751201
946502645437614
1012020001002113
113914721228815
121421682022541
13692634358690
142d7ab208570d
1515ca03cd860d
hexaee9fe3d281

12020001002113 has 32 divisors (see below), whose sum is σ = 13341834777600. Its totient is φ = 10757110231296.

The previous prime is 12020001002047. The next prime is 12020001002117. The reversal of 12020001002113 is 31120010002021.

It is a de Polignac number, because none of the positive numbers 2k-12020001002113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12020001002093 and 12020001002102.

It is not an unprimeable number, because it can be changed into a prime (12020001002117) 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, 173893603 + ... + 173962711.

It is an arithmetic number, because the mean of its divisors is an integer number (416932336800).

Almost surely, 212020001002113 is an apocalyptic number.

12020001002113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12020001002113 is a deficient number, since it is larger than the sum of its proper divisors (1321833775487).

12020001002113 is a wasteful number, since it uses less digits than its factorization.

12020001002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70441.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12020001002113 its reverse (31120010002021), we get a palindrome (43140011004134).

The spelling of 12020001002113 in words is "twelve trillion, twenty billion, one million, two thousand, one hundred thirteen".

Divisors: 1 13 37 419 481 863 5447 11219 15503 31931 69109 201539 361597 415103 898417 2557033 4700761 13379089 28956671 33241429 59641067 173928157 376436723 775333871 1071396827 2206719479 13928158751 24989607073 28687353227 324864891949 924615461701 12020001002113