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10241004411 = 3211313790187
BaseRepresentation
bin10011000100110100…
…10101001101111011
3222102201020221000200
421202122111031323
5131433144120121
64412112133243
7511532046501
oct114232251573
928381227020
1010241004411
114385864210
121b99837223
13c72900531
146d217a671
153ee116a26
hex26269537b

10241004411 has 48 divisors (see below), whose sum is σ = 17108302848. Its totient is φ = 5844052800.

The previous prime is 10241004401. The next prime is 10241004419. The reversal of 10241004411 is 11440014201.

10241004411 is a `hidden beast` number, since 10 + 241 + 0 + 0 + 4 + 411 = 666.

It is not a de Polignac number, because 10241004411 - 25 = 10241004379 is a prime.

It is a super-2 number, since 2×102410044112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10241004419) 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, 68460 + ... + 158646.

It is an arithmetic number, because the mean of its divisors is an integer number (356422976).

Almost surely, 210241004411 is an apocalyptic number.

10241004411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10241004411 is a deficient number, since it is larger than the sum of its proper divisors (6867298437).

10241004411 is a wasteful number, since it uses less digits than its factorization.

10241004411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90272 (or 90269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10241004411 its reverse (11440014201), we get a palindrome (21681018612).

The spelling of 10241004411 in words is "ten billion, two hundred forty-one million, four thousand, four hundred eleven".

Divisors: 1 3 9 11 31 33 37 93 99 111 279 333 341 407 1023 1147 1221 3069 3441 3663 10323 12617 37851 90187 113553 270561 811683 992057 2795797 2976171 3336919 8387391 8928513 10010757 25162173 30032271 30753767 36706109 92261301 103444489 110118327 276783903 310333467 330354981 931000401 1137889379 3413668137 10241004411