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10011044241 = 32113179157263
BaseRepresentation
bin10010101001011010…
…00110100110010001
3221211200112201222100
421110231012212101
5131000311403431
64333215231013
7503040320622
oct112455064621
927750481870
1010011044241
114277a78790
121b34818469
13c37086423
146ad7d9a49
153d8d404e6
hex254b46991

10011044241 has 96 divisors (see below), whose sum is σ = 16658104320. Its totient is φ = 5738428800.

The previous prime is 10011044213. The next prime is 10011044243. The reversal of 10011044241 is 14244011001.

It is not a de Polignac number, because 10011044241 - 29 = 10011043729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011044243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38064676 + ... + 38064938.

It is an arithmetic number, because the mean of its divisors is an integer number (173521920).

Almost surely, 210011044241 is an apocalyptic number.

10011044241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011044241 is a deficient number, since it is larger than the sum of its proper divisors (6647060079).

10011044241 is a wasteful number, since it uses less digits than its factorization.

10011044241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 544 counting only the distinct ones).

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

Adding to 10011044241 its reverse (14244011001), we get a palindrome (24255055242).

The spelling of 10011044241 in words is "ten billion, eleven million, forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 11 31 33 79 93 99 157 237 263 279 341 471 711 789 869 1023 1413 1727 2367 2449 2607 2893 3069 4867 5181 7347 7821 8153 8679 12403 14601 15543 20777 22041 24459 26037 26939 37209 41291 43803 53537 62331 73377 80817 89683 111627 123873 136433 160611 186993 228547 242451 269049 371619 384493 409299 454201 481833 644087 685641 807147 1153479 1227897 1280021 1362603 1932261 2056923 3261989 3460437 3840063 4087809 4229423 5796783 7084957 9785967 11520189 12688269 14080231 21254871 29357901 35881879 38064807 42240693 63764613 101121659 107645637 126722079 303364977 322936911 910094931 1112338249 3337014747 10011044241