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131413243332 = 223719120114073
BaseRepresentation
bin111101001100011010…
…1101111010111000100
3110120012102012110000110
41322120311233113010
54123113242241312
6140212001513020
712331354065210
oct1723065572704
9416172173013
10131413243332
1150806393828
1221576042770
13c51390c1a7
146509067940
153641e7243c
hex1e98d6f5c4

131413243332 has 96 divisors (see below), whose sum is σ = 352531759104. Its totient is φ = 37322323200.

The previous prime is 131413243319. The next prime is 131413243333. The reversal of 131413243332 is 233342314131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131413243332.

It is not an unprimeable number, because it can be changed into a prime (131413243333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32262448 + ... + 32266520.

It is an arithmetic number, because the mean of its divisors is an integer number (3672205824).

Almost surely, 2131413243332 is an apocalyptic number.

131413243332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413243332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176265879552).

131413243332 is an abundant number, since it is smaller than the sum of its proper divisors (221118515772).

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

131413243332 is a wasteful number, since it uses less digits than its factorization.

131413243332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6287 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 131413243332 its reverse (233342314131), we get a palindrome (364755557463).

The spelling of 131413243332 in words is "one hundred thirty-one billion, four hundred thirteen million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2011 2292 2674 4011 4022 4073 5348 6033 8022 8044 8146 12066 12219 14077 16044 16292 24132 24438 28154 28511 42231 48876 56308 57022 84462 85533 114044 168924 171066 342132 384101 768202 777943 1152303 1536404 1555886 2304606 2333829 2688707 3111772 4609212 4667658 5377414 5445601 8066121 8190803 9335316 10754828 10891202 16132242 16336803 16381606 21782404 24572409 32264484 32673606 32763212 49144818 57335621 65347212 98289636 114671242 172006863 229342484 344013726 688027452 1564443373 3128886746 4693330119 6257773492 9386660238 10951103611 18773320476 21902207222 32853310833 43804414444 65706621666 131413243332