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131213220 = 223513915733
BaseRepresentation
bin1111101001000…
…10011110100100
3100010220022200220
413310202132210
5232042310340
621004204340
73152202555
oct764423644
9303808626
10131213220
1168080486
1237b396b0
1321251a78
14135d832c
15b7bced0
hex7d227a4

131213220 has 48 divisors (see below), whose sum is σ = 370063680. Its totient is φ = 34736256.

The previous prime is 131213177. The next prime is 131213249. The reversal of 131213220 is 22312131.

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 131213220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474 + ... + 16206.

It is an arithmetic number, because the mean of its divisors is an integer number (7709660).

Almost surely, 2131213220 is an apocalyptic number.

131213220 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 131213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185031840).

131213220 is an abundant number, since it is smaller than the sum of its proper divisors (238850460).

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

131213220 is a wasteful number, since it uses less digits than its factorization.

131213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15884 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131213220 is about 11454.8339141168. The cubic root of 131213220 is about 508.1507034227.

Adding to 131213220 its reverse (22312131), we get a palindrome (153525351).

The spelling of 131213220 in words is "one hundred thirty-one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 15733 31466 47199 62932 78665 94398 157330 188796 235995 314660 471990 943980 2186887 4373774 6560661 8747548 10934435 13121322 21868870 26242644 32803305 43737740 65606610 131213220