Search a number
-
+
10132013110230 = 23251117602020981
BaseRepresentation
bin1001001101110000101100…
…0010101101001111010110
31022212121111102012002112100
42103130023002231033112
52312000330324011410
633314325500102530
72064004505305554
oct223341302551726
938777442162470
1010132013110230
113256a65294710
12117779a834a46
135865a211782b
1427056bb06bd4
151288548a88c0
hex9370b0ad3d6

10132013110230 has 96 divisors (see below), whose sum is σ = 30428548514208. Its totient is φ = 2311760563200.

The previous prime is 10132013110217. The next prime is 10132013110231. The reversal of 10132013110230 is 3201131023101.

10132013110230 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 3 + 110 + 230 = 666.

10132013110230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132013110231) 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, 300993661 + ... + 301027320.

It is an arithmetic number, because the mean of its divisors is an integer number (316964047023).

Almost surely, 210132013110230 is an apocalyptic number.

10132013110230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132013110230 is an abundant number, since it is smaller than the sum of its proper divisors (20296535403978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132013110230 is a wasteful number, since it uses less digits than its factorization.

10132013110230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602021022 (or 602021019 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10132013110230 its reverse (3201131023101), we get a palindrome (13333144133331).

The spelling of 10132013110230 in words is "ten trillion, one hundred thirty-two billion, thirteen million, one hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 8415 16830 602020981 1204041962 1806062943 3010104905 3612125886 5418188829 6020209810 6622230791 9030314715 10234356677 10836377658 13244461582 18060629430 19866692373 20468713354 27090944145 30703070031 33111153955 39733384746 51171783385 54181888290 59600077119 61406140062 66222307910 92109210093 99333461865 102343566770 112577923447 119200154238 153515350155 184218420186 198666923730 225155846894 298000385595 307030700310 337733770341 460546050465 562889617235 596000771190 675467540682 921092100930 1013201311023 1125779234470 1688668851705 2026402622046 3377337703410 5066006555115 10132013110230