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131212332 = 223323101523
BaseRepresentation
bin1111101001000…
…10010000101100
3100010220021111000
413310202100230
5232042243312
621004200300
73152200146
oct764422054
9303807430
10131212332
116807a849
1237b39090
1321251544
14135d7c96
15b7bcadc
hex7d2242c

131212332 has 96 divisors (see below), whose sum is σ = 359170560. Its totient is φ = 41342400.

The previous prime is 131212321. The next prime is 131212343. The reversal of 131212332 is 233212131.

It is an interprime number because it is at equal distance from previous prime (131212321) and next prime (131212343).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250623 + ... + 251145.

It is an arithmetic number, because the mean of its divisors is an integer number (3741360).

Almost surely, 2131212332 is an apocalyptic number.

131212332 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 131212332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179585280).

131212332 is an abundant number, since it is smaller than the sum of its proper divisors (227958228).

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

131212332 is a wasteful number, since it uses less digits than its factorization.

131212332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131212332 is about 11454.7951531226. The cubic root of 131212332 is about 508.1495570980.

Adding to 131212332 its reverse (233212131), we get a palindrome (364424463).

The spelling of 131212332 in words is "one hundred thirty-one million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 101 108 138 202 207 276 303 404 414 523 606 621 828 909 1046 1212 1242 1569 1818 2092 2323 2484 2727 3138 3636 4646 4707 5454 6276 6969 9292 9414 10908 12029 13938 14121 18828 20907 24058 27876 28242 36087 41814 48116 52823 56484 62721 72174 83628 105646 108261 125442 144348 158469 211292 216522 250884 316938 324783 433044 475407 633876 649566 950814 1214929 1299132 1426221 1901628 2429858 2852442 3644787 4859716 5704884 7289574 10934361 14579148 21868722 32803083 43737444 65606166 131212332