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323112020130 = 23255367738369
BaseRepresentation
bin1001011001110101111…
…10100010100010100010
31010220000020021022001200
410230322332202202202
520243213134121010
6404234031542030
732226005566254
oct4547276424242
91126006238050
10323112020130
11115038348089
125275568a916
132461417c773
14118d286dcd4
158611749cc0
hex4b3afa28a2

323112020130 has 48 divisors (see below), whose sum is σ = 855942043320. Its totient is φ = 84537483264.

The previous prime is 323112020087. The next prime is 323112020131. The reversal of 323112020130 is 31020211323.

323112020130 is a `hidden beast` number, since 323 + 11 + 202 + 0 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223491617001 + 99620403129 = 472749^2 + 315627^2 .

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

It is not an unprimeable number, because it can be changed into a prime (323112020131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33864415 + ... + 33873954.

Almost surely, 2323112020130 is an apocalyptic number.

323112020130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

323112020130 is an abundant number, since it is smaller than the sum of its proper divisors (532830023190).

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

323112020130 is a wasteful number, since it uses less digits than its factorization.

323112020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67738435 (or 67738432 counting only the distinct ones).

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

Adding to 323112020130 its reverse (31020211323), we get a palindrome (354132231453).

The spelling of 323112020130 in words is "three hundred twenty-three billion, one hundred twelve million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 67738369 135476738 203215107 338691845 406430214 609645321 677383690 1016075535 1219290642 2032151070 3048226605 3590133557 6096453210 7180267114 10770400671 17950667785 21540801342 32311202013 35901335570 53852003355 64622404026 107704006710 161556010065 323112020130