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131333220 = 223252331723
BaseRepresentation
bin1111101001111…
…11110001100100
3100011010102022100
413310333301210
5232110130340
621010532100
73153212454
oct764776144
9304112270
10131333220
1168152657
1237b97030
1321294585
1413629d64
15b7e3830
hex7d3fc64

131333220 has 72 divisors (see below), whose sum is σ = 415711296. Its totient is φ = 33498432.

The previous prime is 131333203. The next prime is 131333227. The reversal of 131333220 is 22333131.

131333220 is a `hidden beast` number, since 1 + 313 + 332 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131333193 and 131333202.

It is not an unprimeable number, because it can be changed into a prime (131333227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11722 + ... + 20001.

It is an arithmetic number, because the mean of its divisors is an integer number (5773768).

Almost surely, 2131333220 is an apocalyptic number.

131333220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333220 is an abundant number, since it is smaller than the sum of its proper divisors (284378076).

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

131333220 is a wasteful number, since it uses less digits than its factorization.

131333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31761 (or 31756 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131333220 is about 11460.0706804103. The cubic root of 131333220 is about 508.3055646093.

Adding to 131333220 its reverse (22333131), we get a palindrome (153666351).

The spelling of 131333220 in words is "one hundred thirty-one million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 31723 63446 95169 126892 158615 190338 285507 317230 380676 475845 571014 634460 729629 951690 1142028 1427535 1459258 1903380 2188887 2855070 2918516 3648145 4377774 5710140 6566661 7296290 8755548 10944435 13133322 14592580 21888870 26266644 32833305 43777740 65666610 131333220