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131423343102030 = 235731317211161791
BaseRepresentation
bin11101111000011101100001…
…101011100100100001001110
3122020022221121202011112100010
4131320131201223210201032
5114211220001313231110
61143303014512214050
736453010646355540
oct3570354153444116
9566287552145303
10131423343102030
113896a365a88581
12128a688383a326
13584422535a765
142464cd0a89690
15102d951bdd020
hex778761ae484e

131423343102030 has 128 divisors (see below), whose sum is σ = 361837571751936. Its totient is φ = 29926223308800.

The previous prime is 131423343102013. The next prime is 131423343102031. The reversal of 131423343102030 is 30201343324131.

It is a super-2 number, since 2×1314233431020302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131423343102031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112540435 + ... + 113702225.

It is an arithmetic number, because the mean of its divisors is an integer number (2826856029312).

Almost surely, 2131423343102030 is an apocalyptic number.

131423343102030 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 131423343102030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180918785875968).

131423343102030 is an abundant number, since it is smaller than the sum of its proper divisors (230414228649906).

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

131423343102030 is a wasteful number, since it uses less digits than its factorization.

131423343102030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163842.

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

Adding to 131423343102030 its reverse (30201343324131), we get a palindrome (161624686426161).

The spelling of 131423343102030 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, three hundred forty-three million, one hundred two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 313 626 939 1565 1721 1878 2191 3130 3442 4382 4695 5163 6573 8605 9390 10326 10955 12047 13146 17210 21910 24094 25815 32865 36141 51630 60235 65730 72282 120470 180705 361410 538673 1077346 1161791 1616019 2323582 2693365 3232038 3485373 3770711 5386730 5808955 6970746 7541422 8080095 8132537 11312133 11617910 16160190 16265074 17426865 18853555 22624266 24397611 34853730 37707110 40662685 48795222 56560665 81325370 113121330 121988055 243976110 363640583 727281166 1090921749 1818202915 1999442311 2181843498 2545484081 3636405830 3998884622 5090968162 5454608745 5998326933 7636452243 9997211555 10909217490 11996653866 12727420405 13996096177 15272904486 19994423110 25454840810 27992192354 29991634665 38182261215 41988288531 59983269330 69980480885 76364522430 83976577062 139960961770 209941442655 419882885310 625825443343 1251650886686 1877476330029 3129127216715 3754952660058 4380778103401 6258254433430 8761556206802 9387381650145 13142334310203 18774763300290 21903890517005 26284668620406 43807781034010 65711671551015 131423343102030