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10001010100011 = 3721031609410519
BaseRepresentation
bin1001000110001000101010…
…1001111000011100101011
31022102002100120220122112220
42101202022221320130223
52302324032041200021
633134222311005123
72051356232142300
oct221421251703453
938362316818486
1010001010100011
11320644a526117
12115631a0697a3
135771254c0938
142680a13490a7
1512523896bcc6
hex9188aa7872b

10001010100011 has 48 divisors (see below), whose sum is σ = 15672142886400. Its totient is φ = 5655847704192.

The previous prime is 10001010099943. The next prime is 10001010100033. The reversal of 10001010100011 is 11000101010001.

It is not a de Polignac number, because 10001010100011 - 218 = 10001009837867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001010104011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24156610 + ... + 24567128.

It is an arithmetic number, because the mean of its divisors is an integer number (326502976800).

Almost surely, 210001010100011 is an apocalyptic number.

10001010100011 is a deficient number, since it is larger than the sum of its proper divisors (5671132786389).

10001010100011 is a wasteful number, since it uses less digits than its factorization.

10001010100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412248 (or 412241 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001010100011 its reverse (11000101010001), we get a palindrome (21001111110012).

The spelling of 10001010100011 in words is "ten trillion, one billion, ten million, one hundred thousand, eleven".

Divisors: 1 3 7 21 49 103 147 309 721 1609 2163 4827 5047 11263 15141 33789 78841 165727 236523 410519 497181 1160089 1231557 2873633 3480267 8120623 8620899 20115431 24361869 42283457 60346293 126850371 295984199 660525071 887952597 1981575213 2071889393 4623675497 6215668179 13871026491 32365728479 68034082313 97097185437 204102246939 476238576191 1428715728573 3333670033337 10001010100011