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130223001312 = 25323712220627
BaseRepresentation
bin111100101000111100…
…1010100111011100000
3110110010110112212220200
41321101321110323200
54113144042020222
6135453522505200
712260022150645
oct1712171247340
9413113485820
10130223001312
1150255542338
12212a3505200
13c384153381
146434d57dcc
1535c2712eac
hex1e51e54ee0

130223001312 has 72 divisors (see below), whose sum is σ = 380330384616. Its totient is φ = 42234483456.

The previous prime is 130223001289. The next prime is 130223001343. The reversal of 130223001312 is 213100322031.

130223001312 is a `hidden beast` number, since 1 + 30 + 22 + 300 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6099658 + ... + 6120969.

It is an arithmetic number, because the mean of its divisors is an integer number (5282366453).

Almost surely, 2130223001312 is an apocalyptic number.

130223001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130223001312 is an abundant number, since it is smaller than the sum of its proper divisors (250107383304).

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

130223001312 is a wasteful number, since it uses less digits than its factorization.

130223001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220680 (or 12220669 counting only the distinct ones).

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

Adding to 130223001312 its reverse (213100322031), we get a palindrome (343323323343).

The spelling of 130223001312 in words is "one hundred thirty billion, two hundred twenty-three million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 12220627 24441254 36661881 48882508 73323762 97765016 109985643 146647524 195530032 219971286 293295048 391060064 439942572 452163199 586590096 879885144 904326398 1173180192 1356489597 1759770288 1808652796 2712979194 3519540576 3617305592 4069468791 5425958388 7234611184 8138937582 10851916776 14469222368 16277875164 21703833552 32555750328 43407667104 65111500656 130223001312