Search a number
-
+
131001220 = 22574347463
BaseRepresentation
bin1111100111011…
…10101110000100
3100010111112220001
413303232232010
5232014014340
620555451044
73150330520
oct763565604
9303445801
10131001220
1167a46179
1237a56a84
13211a941c
1413580d80
15b77a29a
hex7ceeb84

131001220 has 96 divisors (see below), whose sum is σ = 329269248. Its totient is φ = 42844032.

The previous prime is 131001217. The next prime is 131001229. The reversal of 131001220 is 22100131.

It is a super-2 number, since 2×1310012202 = 34322639282976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 131001197 and 131001206.

It is not an unprimeable number, because it can be changed into a prime (131001229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282709 + ... + 283171.

It is an arithmetic number, because the mean of its divisors is an integer number (3429888).

Almost surely, 2131001220 is an apocalyptic number.

131001220 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 131001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164634624).

131001220 is an abundant number, since it is smaller than the sum of its proper divisors (198268028).

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

131001220 is a wasteful number, since it uses less digits than its factorization.

131001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131001220 is about 11445.5764380830. The cubic root of 131001220 is about 507.8768844187.

Adding to 131001220 its reverse (22100131), we get a palindrome (153101351).

The spelling of 131001220 in words is "one hundred thirty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 47 70 86 94 140 172 188 215 235 301 329 430 463 470 602 658 860 926 940 1204 1316 1505 1645 1852 2021 2315 3010 3241 3290 4042 4630 6020 6482 6580 8084 9260 10105 12964 14147 16205 19909 20210 21761 28294 32410 39818 40420 43522 56588 64820 70735 79636 87044 99545 108805 139363 141470 152327 199090 217610 278726 282940 304654 398180 435220 557452 609308 696815 761635 935723 1393630 1523270 1871446 2787260 3046540 3742892 4678615 6550061 9357230 13100122 18714460 26200244 32750305 65500610 131001220