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130311168 = 2103132251
BaseRepresentation
bin1111100010001…
…10010000000000
3100002012111022120
413301012100000
5231324424133
620533004240
73141424641
oct761062000
9302174276
10130311168
1167614789
1237783680
1320cc7300
14134416c8
15b690ab3
hex7c46400

130311168 has 132 divisors (see below), whose sum is σ = 377597808. Its totient is φ = 39936000.

The previous prime is 130311149. The next prime is 130311173. The reversal of 130311168 is 861113031.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 519043 + ... + 519293.

Almost surely, 2130311168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188798904).

130311168 is an abundant number, since it is smaller than the sum of its proper divisors (247286640).

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

130311168 is a wasteful number, since it uses less digits than its factorization.

130311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 130311168 is about 11415.3917146982. The cubic root of 130311168 is about 506.9835629122.

Adding to 130311168 its reverse (861113031), we get a palindrome (991424199).

The spelling of 130311168 in words is "one hundred thirty million, three hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 251 256 312 338 384 416 502 507 512 624 676 753 768 832 1004 1014 1024 1248 1352 1506 1536 1664 2008 2028 2496 2704 3012 3072 3263 3328 4016 4056 4992 5408 6024 6526 6656 8032 8112 9789 9984 10816 12048 13052 13312 16064 16224 19578 19968 21632 24096 26104 32128 32448 39156 39936 42419 43264 48192 52208 64256 64896 78312 84838 86528 96384 104416 127257 128512 129792 156624 169676 173056 192768 208832 254514 257024 259584 313248 339352 385536 417664 509028 519168 626496 678704 771072 835328 1018056 1252992 1357408 1670656 2036112 2505984 2714816 3341312 4072224 5011968 5429632 8144448 10023936 10859264 16288896 21718528 32577792 43437056 65155584 130311168