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220312131 = 3137437603
BaseRepresentation
bin11010010000110…
…11001001000011
3120100120000102120
431020123021003
5422344442011
633510015323
75313423264
oct1510331103
9510500376
10220312131
111033a6846
1261947543
1336849810
142138c96b
151451ca06
hexd21b243

220312131 has 16 divisors (see below), whose sum is σ = 316813056. Its totient is φ = 135376416.

The previous prime is 220312109. The next prime is 220312187. The reversal of 220312131 is 131213022.

It is not a de Polignac number, because 220312131 - 26 = 220312067 is a prime.

It is a super-2 number, since 2×2203121312 = 97074870131522322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220312131.

It is not an unprimeable number, because it can be changed into a prime (220312031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25176 + ... + 32778.

It is an arithmetic number, because the mean of its divisors is an integer number (19800816).

Almost surely, 2220312131 is an apocalyptic number.

220312131 is a deficient number, since it is larger than the sum of its proper divisors (96500925).

220312131 is a wasteful number, since it uses less digits than its factorization.

220312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362.

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

The square root of 220312131 is about 14842.9151786298. The cubic root of 220312131 is about 603.9664350966.

Adding to 220312131 its reverse (131213022), we get a palindrome (351525153).

The spelling of 220312131 in words is "two hundred twenty million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 13 39 743 2229 7603 9659 22809 28977 98839 296517 5649029 16947087 73437377 220312131