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10011110001012 = 223213911821169243
BaseRepresentation
bin1001000110101110010010…
…1001111100100101110100
31022110001102110122210002100
42101223210221330211310
52303010223130013022
633143012422542100
72052164431654641
oct221534451744564
938401373583070
1010011110001012
11320a76267423a
121158278597930
13578074ab8813
1426877c874dc8
1512562a4b01ac
hex91ae4a7c974

10011110001012 has 72 divisors (see below), whose sum is σ = 25490224716320. Its totient is φ = 3312729368640.

The previous prime is 10011110001007. The next prime is 10011110001031. The reversal of 10011110001012 is 21010001111001.

10011110001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011110000985 and 10011110001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59067663 + ... + 59236905.

Almost surely, 210011110001012 is an apocalyptic number.

10011110001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011110001012 is an abundant number, since it is smaller than the sum of its proper divisors (15479114715308).

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

10011110001012 is a wasteful number, since it uses less digits than its factorization.

10011110001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181213 (or 181208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011110001012 its reverse (21010001111001), we get a palindrome (31021111112013).

The spelling of 10011110001012 in words is "ten trillion, eleven billion, one hundred ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 11821 23642 35463 47284 70926 106389 141852 169243 212778 338486 425556 507729 676972 1015458 1523187 1643119 2030916 3046374 3286238 4929357 6092748 6572476 9858714 14788071 19717428 23524777 29576142 47049554 59152284 70574331 94099108 141148662 211722993 282297324 423445986 846891972 2000621503 4001243006 6001864509 8002486012 12003729018 18005593527 24007458036 36011187054 72022374108 278086388917 556172777834 834259166751 1112345555668 1668518333502 2502777500253 3337036667004 5005555000506 10011110001012