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131030220 = 223517128461
BaseRepresentation
bin1111100111101…
…01110011001100
3100010120000200010
413303311303030
5232020431340
621000233220
73150511206
oct763656314
9303500603
10131030220
1167a65a42
1237a6b810
13211b9699
141358b776
15b783b80
hex7cf5ccc

131030220 has 48 divisors (see below), whose sum is σ = 388469088. Its totient is φ = 32885760.

The previous prime is 131030201. The next prime is 131030231. The reversal of 131030220 is 22030131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131030196 and 131030205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63211 + ... + 65250.

It is an arithmetic number, because the mean of its divisors is an integer number (8093106).

Almost surely, 2131030220 is an apocalyptic number.

131030220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131030220 is an abundant number, since it is smaller than the sum of its proper divisors (257438868).

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

131030220 is a wasteful number, since it uses less digits than its factorization.

131030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128490 (or 128488 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131030220 is about 11446.8432329617. The cubic root of 131030220 is about 507.9143582249.

Adding to 131030220 its reverse (22030131), we get a palindrome (153060351).

The spelling of 131030220 in words is "one hundred thirty-one million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 128461 256922 385383 513844 642305 770766 1284610 1541532 1926915 2183837 2569220 3853830 4367674 6551511 7707660 8735348 10919185 13103022 21838370 26206044 32757555 43676740 65515110 131030220