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131300321022 = 232134011399283
BaseRepresentation
bin111101001001000011…
…0111110011011111110
3110112220112201101201200
41322102012332123332
54122400340233042
6140152445320330
712325513212513
oct1722206763376
9415815641650
10131300321022
1150758676602
12215442660a6
13c4c63c2960
1464d807130a
1536370b8c4c
hex1e921be6fe

131300321022 has 48 divisors (see below), whose sum is σ = 307131643728. Its totient is φ = 40299321600.

The previous prime is 131300321011. The next prime is 131300321063. The reversal of 131300321022 is 220123003131.

131300321022 is a `hidden beast` number, since 131 + 300 + 3 + 210 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131300320986 and 131300321004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605808 + ... + 793475.

It is an arithmetic number, because the mean of its divisors is an integer number (6398575911).

Almost surely, 2131300321022 is an apocalyptic number.

131300321022 is an abundant number, since it is smaller than the sum of its proper divisors (175831322706).

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

131300321022 is a wasteful number, since it uses less digits than its factorization.

131300321022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399705 (or 1399702 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131300321022 its reverse (220123003131), we get a palindrome (351423324153).

It can be divided in two parts, 1313003 and 21022, that added together give a square (1334025 = 11552).

The spelling of 131300321022 in words is "one hundred thirty-one billion, three hundred million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 401 802 1203 2406 3609 5213 7218 10426 15639 31278 46917 93834 1399283 2798566 4197849 8395698 12593547 18190679 25187094 36381358 54572037 109144074 163716111 327432222 561112483 1122224966 1683337449 3366674898 5050012347 7294462279 10100024694 14588924558 21883386837 43766773674 65650160511 131300321022