Search a number
-
+
131169330960 = 24355478211217
BaseRepresentation
bin111101000101001001…
…1010010011100010000
3110112120102020102010220
41322022103102130100
54122113322042320
6140131445553040
712322332626343
oct1721223223420
9415512212126
10131169330960
11506a0738858
1221508415780
13c4a521b645
1464c48d445a
15362a841e40
hex1e8a4d2710

131169330960 has 160 divisors (see below), whose sum is σ = 408199623552. Its totient is φ = 34843361280.

The previous prime is 131169330959. The next prime is 131169330997. The reversal of 131169330960 is 69033961131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107780272 + ... + 107781488.

Almost surely, 2131169330960 is an apocalyptic number.

131169330960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131169330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204099811776).

131169330960 is an abundant number, since it is smaller than the sum of its proper divisors (277030292592).

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

131169330960 is a wasteful number, since it uses less digits than its factorization.

131169330960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The spelling of 131169330960 in words is "one hundred thirty-one billion, one hundred sixty-nine million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547 821 1094 1217 1641 1642 2188 2434 2463 2735 3282 3284 3651 4105 4376 4868 4926 5470 6085 6564 6568 7302 8205 8210 8752 9736 9852 10940 12170 12315 13128 13136 14604 16410 16420 18255 19472 19704 21880 24340 24630 26256 29208 32820 32840 36510 39408 43760 48680 49260 58416 65640 65680 73020 97360 98520 131280 146040 197040 292080 449087 665699 898174 999157 1331398 1347261 1796348 1997097 1998314 2245435 2662796 2694522 2997471 3328495 3592696 3994194 3996628 4490870 4995785 5325592 5389044 5994942 6656990 6736305 7185392 7988388 7993256 8981740 9985485 9991570 10651184 10778088 11989884 13313980 13472610 14987355 15976776 15986512 17963480 19970970 19983140 21556176 23979768 26627960 26945220 29974710 31953552 35926960 39941940 39966280 47959536 53255920 53890440 59949420 79883880 79932560 107780880 119898840 159767760 239797680 546538879 1093077758 1639616637 2186155516 2732694395 3279233274 4372311032 5465388790 6558466548 8198083185 8744622064 10930777580 13116933096 16396166370 21861555160 26233866192 32792332740 43723110320 65584665480 131169330960