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10000123301311 = 1113208333572219
BaseRepresentation
bin1001000110000101010111…
…0011000000110110111111
31022102000001210020121102121
42101201111303000312333
52302320223031120221
633133554311503411
72051325243365323
oct221412563006677
938360053217377
1010000123301311
1132060349a0130
121156111087b67
13577013869c90
14268019667983
151251d5b9ba41
hex91855cc0dbf

10000123301311 has 16 divisors (see below), whose sum is σ = 11754037088640. Its totient is φ = 8387682945120.

The previous prime is 10000123301297. The next prime is 10000123301347. The reversal of 10000123301311 is 11310332100001.

10000123301311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10000123301311 - 213 = 10000123293119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000123301351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16488241 + ... + 17083978.

It is an arithmetic number, because the mean of its divisors is an integer number (734627318040).

Almost surely, 210000123301311 is an apocalyptic number.

10000123301311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000123301311 is a deficient number, since it is larger than the sum of its proper divisors (1753913787329).

10000123301311 is a wasteful number, since it uses less digits than its factorization.

10000123301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33574326.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10000123301311 its reverse (11310332100001), we get a palindrome (21310455401312).

The spelling of 10000123301311 in words is "ten trillion, one hundred twenty-three million, three hundred one thousand, three hundred eleven".

Divisors: 1 11 13 143 2083 22913 27079 297869 33572219 369294409 436438847 4800827317 69930932177 769240253947 909102118301 10000123301311