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11004424124031 = 341341673378739
BaseRepresentation
bin1010000000100010101011…
…0010100111011001111111
31102222000100020102110120000
42200020222302213121333
52420244030033432111
635223210155525343
72214020613465162
oct240105262473177
942860306373500
1011004424124031
113562a4a595868
121298893459853
1361a935b82620
142a088cd6dad9
151413b4caac56
hexa022aca767f

11004424124031 has 80 divisors (see below), whose sum is σ = 18162004032480. Its totient is φ = 6596949381120.

The previous prime is 11004424124027. The next prime is 11004424124069. The reversal of 11004424124031 is 13042142440011.

11004424124031 is a `hidden beast` number, since 1 + 10 + 0 + 4 + 4 + 241 + 2 + 403 + 1 = 666.

11004424124031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11004424124031 - 22 = 11004424124027 is a prime.

It is a super-2 number, since 2×110044241240312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11004424123986 and 11004424124004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004424124011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28866060 + ... + 29244798.

It is an arithmetic number, because the mean of its divisors is an integer number (227025050406).

Almost surely, 211004424124031 is an apocalyptic number.

11004424124031 is a deficient number, since it is larger than the sum of its proper divisors (7157579908449).

11004424124031 is a wasteful number, since it uses less digits than its factorization.

11004424124031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379478 (or 379469 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11004424124031 its reverse (13042142440011), we get a palindrome (24046566564042).

The spelling of 11004424124031 in words is "eleven trillion, four billion, four hundred twenty-four million, one hundred twenty-four thousand, thirty-one".

Divisors: 1 3 9 13 27 39 41 81 117 123 351 369 533 673 1053 1107 1599 2019 3321 4797 6057 8749 14391 18171 26247 27593 43173 54513 78741 82779 236223 248337 358709 378739 708669 745011 1076127 1136217 2235033 3228381 3408651 4923607 9685143 10225953 14770821 15528299 29055429 30677859 44312463 46584897 132937389 139754691 201867887 254891347 398812167 419264073 605603661 764674041 1257792219 1816810983 2294022123 3313587511 5450432949 6882066369 9940762533 10450545227 16351298847 20646199107 29822287599 31351635681 89466862797 94054907043 135857087951 268400588391 282164721129 407571263853 846494163387 1222713791559 3668141374677 11004424124031