Search a number
-
+
131330220 = 22357476653
BaseRepresentation
bin1111101001111…
…11000010101100
3100011010021012020
413310333002230
5232110031340
621010510140
73153200640
oct764770254
9304107166
10131330220
116815037a
1237b95350
13212930b8
1413628c20
15b7e29d0
hex7d3f0ac

131330220 has 96 divisors (see below), whose sum is σ = 429262848. Its totient is φ = 29375232.

The previous prime is 131330201. The next prime is 131330273. The reversal of 131330220 is 22033131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131330220.

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, 16414 + ... + 23066.

It is an arithmetic number, because the mean of its divisors is an integer number (4471488).

Almost surely, 2131330220 is an apocalyptic number.

131330220 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 131330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214631424).

131330220 is an abundant number, since it is smaller than the sum of its proper divisors (297932628).

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

131330220 is a wasteful number, since it uses less digits than its factorization.

131330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 131330220 is about 11459.9397904177. The cubic root of 131330220 is about 508.3016942295.

Adding to 131330220 its reverse (22033131), we get a palindrome (153363351).

The spelling of 131330220 in words is "one hundred thirty-one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 6653 9870 13306 19740 19959 26612 33265 39918 46571 66530 79836 93142 99795 133060 139713 186284 199590 232855 279426 312691 399180 465710 558852 625382 698565 931420 938073 1250764 1397130 1563455 1876146 2188837 2794260 3126910 3752292 4377674 4690365 6253820 6566511 8755348 9380730 10944185 13133022 18761460 21888370 26266044 32832555 43776740 65665110 131330220