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131203332 = 223213377577
BaseRepresentation
bin1111101001000…
…00000100000100
3100010212211010200
413310200010010
5232042001312
621004050500
73152132001
oct764400404
9303784120
10131203332
1168074007
1237b33a30
132124a410
14135d48a8
15b7ba0dc
hex7d20104

131203332 has 72 divisors (see below), whose sum is σ = 366866136. Its totient is φ = 39273984.

The previous prime is 131203309. The next prime is 131203333. The reversal of 131203332 is 233302131.

131203332 is a `hidden beast` number, since 131 + 203 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 695556 + 130507776 = 834^2 + 11424^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131203333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13528 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (5095363).

Almost surely, 2131203332 is an apocalyptic number.

131203332 is a gapful number since it is divisible by the number (12) 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 131203332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183433068).

131203332 is an abundant number, since it is smaller than the sum of its proper divisors (235662804).

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

131203332 is a wasteful number, since it uses less digits than its factorization.

131203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7632 counting only the distinct ones).

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

The square root of 131203332 is about 11454.4022978067. The cubic root of 131203332 is about 508.1379386510.

Adding to 131203332 its reverse (233302131), we get a palindrome (364505463).

The spelling of 131203332 in words is "one hundred thirty-one million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 7577 8658 15154 17316 22731 30308 45462 68193 90924 98501 136386 197002 272772 280349 295503 394004 560698 591006 841047 886509 1121396 1182012 1682094 1773018 2523141 3364188 3546036 3644537 5046282 7289074 10092564 10933611 14578148 21867222 32800833 43734444 65601666 131203332