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10152110241 = 3371343307313
BaseRepresentation
bin10010111010001110…
…01110100010100001
3222012111222122011000
421131013032202201
5131242420011431
64355214542213
7506402341020
oct113507164241
928174878130
1010152110241
11433a668759
121b73b07969
13c5a377a30
146c443a8b7
153e64079e6
hex25d1ce8a1

10152110241 has 128 divisors (see below), whose sum is σ = 19063869440. Its totient is φ = 5196731904.

The previous prime is 10152110239. The next prime is 10152110261. The reversal of 10152110241 is 14201125101.

10152110241 is a `hidden beast` number, since 1 + 0 + 1 + 521 + 102 + 41 = 666.

It is not a de Polignac number, because 10152110241 - 21 = 10152110239 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10152110261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32434701 + ... + 32435013.

It is an arithmetic number, because the mean of its divisors is an integer number (148936480).

Almost surely, 210152110241 is an apocalyptic number.

It is an amenable number.

10152110241 is a deficient number, since it is larger than the sum of its proper divisors (8911759199).

10152110241 is a wasteful number, since it uses less digits than its factorization.

10152110241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10152110241 its reverse (14201125101), we get a palindrome (24353235342).

The spelling of 10152110241 in words is "ten billion, one hundred fifty-two million, one hundred ten thousand, two hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 43 63 91 117 129 189 273 301 307 313 351 387 559 819 903 921 939 1161 1677 2149 2191 2457 2709 2763 2817 3913 3991 4069 5031 6447 6573 8127 8289 8451 11739 11973 12207 13201 13459 15093 19341 19719 27937 28483 35217 35919 36621 39603 40377 58023 59157 83811 85449 92407 94213 96091 105651 107757 109863 118809 121131 171613 174967 251433 256347 277221 282639 288273 356427 363393 514839 524901 672637 754299 769041 831663 847917 864819 1201291 1224769 1249183 1544517 1574703 2017911 2494989 2543751 2594457 3603873 3674307 3747549 4131913 4633551 4724109 6053733 8744281 10811619 11022921 11242647 12395739 18161199 26232843 28923391 32434857 33068763 33727941 37187217 53714869 78698529 86770173 111561651 161144607 236095587 260310519 376004083 483433821 780931557 1128012249 1450301463 3384036747 10152110241