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130320133143444 = 22329737319625757
BaseRepresentation
bin11101101000011010000101…
…001111100011101110010100
3122002102111001010222222020100
4131220122011033203232110
5114040131113041042234
61141100124230134100
736310214246423256
oct3550320517435624
9562374033888210
10130320133143444
11385845047a2152
1212748ab8ab1330
13579419c537c0a
142427757163cd6
15100edd4523399
hex7686853e3b94

130320133143444 has 36 divisors (see below), whose sum is σ = 332816422509844. Its totient is φ = 42992208870912.

The previous prime is 130320133143341. The next prime is 130320133143451. The reversal of 130320133143444 is 444341331023031.

130320133143444 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 201 + 3 + 3 + 1 + 4 + 3 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29369484487044 + 100950648656400 = 5419362^2 + 10047420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1303201331434442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130320133143399 and 130320133143408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18659809387 + ... + 18659816370.

Almost surely, 2130320133143444 is an apocalyptic number.

It is an amenable number.

130320133143444 is an abundant number, since it is smaller than the sum of its proper divisors (202496289366400).

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

130320133143444 is a wasteful number, since it uses less digits than its factorization.

130320133143444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37319625864 (or 37319625859 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 130320133143444 its reverse (444341331023031), we get a palindrome (574661464166475).

The spelling of 130320133143444 in words is "one hundred thirty trillion, three hundred twenty billion, one hundred thirty-three million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 37319625757 74639251514 111958877271 149278503028 223917754542 335876631813 447835509084 671753263626 1343506527252 3620003698429 7240007396858 10860011095287 14480014793716 21720022190574 32580033285861 43440044381148 65160066571722 130320133143444