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131301111330 = 23254121078111
BaseRepresentation
bin111101001001000100…
…1111111011000100010
3110112220121012112211100
41322102021333120202
54122401041030310
6140152514255230
712325523013564
oct1722211773042
9415817175740
10131301111330
1150759066354
1221544587516
13c4c660b5ac
1464d81d9334
1536371c2ec0
hex1e9227f622

131301111330 has 144 divisors (see below), whose sum is σ = 353226137472. Its totient is φ = 33836217600.

The previous prime is 131301111329. The next prime is 131301111407. The reversal of 131301111330 is 33111103131.

131301111330 is a `hidden beast` number, since 1 + 31 + 301 + 1 + 1 + 1 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16183975 + ... + 16192085.

It is an arithmetic number, because the mean of its divisors is an integer number (2452959288).

Almost surely, 2131301111330 is an apocalyptic number.

131301111330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131301111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176613068736).

131301111330 is an abundant number, since it is smaller than the sum of its proper divisors (221925026142).

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

131301111330 is a wasteful number, since it uses less digits than its factorization.

131301111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131301111330 its reverse (33111103131), we get a palindrome (164412214461).

The spelling of 131301111330 in words is "one hundred thirty-one billion, three hundred one million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 107 123 205 214 246 321 369 410 535 615 642 738 963 1070 1230 1605 1681 1845 1926 3210 3362 3690 4387 4815 5043 8111 8405 8774 9630 10086 13161 15129 16222 16810 21935 24333 25215 26322 30258 39483 40555 43870 48666 50430 65805 72999 75645 78966 81110 121665 131610 145998 151290 179867 197415 243330 332551 359734 364995 394830 539601 665102 729990 867877 899335 997653 1079202 1618803 1662755 1735754 1798670 1995306 2603631 2698005 2992959 3237606 3325510 4339385 4988265 5207262 5396010 5985918 7810893 8094015 8678770 9976530 13018155 13634591 14964795 15621786 16188030 26036310 27269182 29929590 35582957 39054465 40903773 68172955 71165914 78108930 81807546 106748871 122711319 136345910 177914785 204518865 213497742 245422638 320246613 355829570 409037730 533744355 613556595 640493226 1067488710 1227113190 1458901237 1601233065 2917802474 3202466130 4376703711 7294506185 8753407422 13130111133 14589012370 21883518555 26260222266 43767037110 65650555665 131301111330