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10010111111001 = 3317103401528013
BaseRepresentation
bin1001000110101010100100…
…0111011110111101011001
31022102221211212001220121000
42101222221013132331121
52303001201421023001
633142325341135213
72052130612356111
oct221525107367531
938387755056530
1010010111111001
11320a29a839401
121158039b5a509
13577c45b79941
142686c5d36041
151255bc94ca86
hex91aa91def59

10010111111001 has 64 divisors (see below), whose sum is σ = 15894150704640. Its totient is φ = 6204352204800.

The previous prime is 10010111110999. The next prime is 10010111111051. The reversal of 10010111111001 is 10011111101001.

It is not a de Polignac number, because 10010111111001 - 21 = 10010111110999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10010111111051) 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, 18694071 + ... + 19222083.

It is an arithmetic number, because the mean of its divisors is an integer number (248346104760).

Almost surely, 210010111111001 is an apocalyptic number.

It is an amenable number.

10010111111001 is a deficient number, since it is larger than the sum of its proper divisors (5884039593639).

10010111111001 is a wasteful number, since it uses less digits than its factorization.

10010111111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528543 (or 528537 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10010111111001 its reverse (10011111101001), we get a palindrome (20021222212002).

It can be divided in two parts, 100 and 10111111001, that added together give a palindrome (10111111101).

The spelling of 10010111111001 in words is "ten trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one".

Divisors: 1 3 9 17 27 51 103 153 309 401 459 927 1203 1751 2781 3609 5253 6817 10827 15759 20451 41303 47277 61353 123909 184059 371727 528013 702151 1115181 1584039 2106453 4752117 6319359 8976221 14256351 18958077 26928663 54385339 80785989 163156017 211733213 242357967 489468051 635199639 924550763 1468404153 1905598917 2773652289 3599464621 5716796751 8320956867 10798393863 21808520939 24962870601 32395181589 65425562817 97185544767 196276688451 370744855963 588830065353 1112234567889 3336703703667 10010111111001