Search a number
-
+
131251563652 = 2211232928315803
BaseRepresentation
bin111101000111100110…
…0111110110010000100
3110112210010222021012011
41322033030332302010
54122300400014102
6140143544304004
712324351611656
oct1721714766204
9415703867164
10131251563652
11507330a4460
122152ba72004
13c4b9281041
1464d17bc6d6
153632b872d7
hex1e8f33ec84

131251563652 has 96 divisors (see below), whose sum is σ = 271454561280. Its totient is φ = 54899940480.

The previous prime is 131251563647. The next prime is 131251563673. The reversal of 131251563652 is 256365152131.

It is a happy number.

It is a super-3 number, since 3×1312515636523 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8297583 + ... + 8313385.

It is an arithmetic number, because the mean of its divisors is an integer number (2827651680).

Almost surely, 2131251563652 is an apocalyptic number.

It is an amenable number.

131251563652 is an abundant number, since it is smaller than the sum of its proper divisors (140202997628).

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

131251563652 is a wasteful number, since it uses less digits than its factorization.

131251563652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153 (or 16151 counting only the distinct ones).

The product of its digits is 162000, while the sum is 40.

The spelling of 131251563652 in words is "one hundred thirty-one billion, two hundred fifty-one million, five hundred sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 4 11 22 23 29 44 46 58 92 116 253 283 319 506 566 638 667 1012 1132 1276 1334 2668 3113 6226 6509 7337 8207 12452 13018 14674 15803 16414 26036 29348 31606 32828 63212 71599 90277 143198 173833 180554 188761 286396 347666 361108 363469 377522 458287 695332 726938 755044 916574 1453876 1833148 2076371 3998159 4152742 4472249 5041157 7996318 8305484 8944498 10082314 10540601 15992636 17888996 20164628 21081202 42162404 49194739 98389478 102861727 115946611 129695221 196778956 205723454 231893222 259390442 411446908 463786444 518780884 1131478997 1426647431 2262957994 2853294862 2982990083 4525915988 5706589724 5965980166 11931960332 32812890913 65625781826 131251563652