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130022230032 = 24321735219261
BaseRepresentation
bin111100100010111101…
…1011100100000010000
3110102121110202122111100
41321011323130200100
54112241142330112
6135421551344400
712252033501642
oct1710573344020
9412543678440
10130022230032
1150162182962
1221248222100
13c351688cb6
146416414892
1535aeca52dc
hex1e45edc810

130022230032 has 60 divisors (see below), whose sum is σ = 365985089964. Its totient is φ = 43090210560.

The previous prime is 130022230003. The next prime is 130022230057. The reversal of 130022230032 is 230032220031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80828764416 + 49193465616 = 284304^2 + 221796^2 .

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 = 130022229987 and 130022230014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584719 + ... + 2634542.

Almost surely, 2130022230032 is an apocalyptic number.

130022230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130022230032 is an abundant number, since it is smaller than the sum of its proper divisors (235962859932).

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

130022230032 is a wasteful number, since it uses less digits than its factorization.

130022230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219448 (or 5219439 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 130022230032 its reverse (230032220031), we get a palindrome (360054450063).

The spelling of 130022230032 in words is "one hundred thirty billion, twenty-two million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 5219261 10438522 15657783 20877044 31315566 41754088 46973349 62631132 83508176 93946698 125262264 187893396 250524528 375786792 751573584 902932153 1805864306 2708796459 3611728612 5417592918 7223457224 8126389377 10835185836 14446914448 16252778754 21670371672 32505557508 43340743344 65011115016 130022230032