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131221332 = 223211331367
BaseRepresentation
bin1111101001001…
…00011101010100
3100010220201211100
413310210131110
5232043040312
621004310100
73152235324
oct764443524
9303821740
10131221332
1168086590
1237b42330
1321255678
14135db284
15b7c05dc
hex7d24754

131221332 has 36 divisors (see below), whose sum is σ = 361853856. Its totient is φ = 39763920.

The previous prime is 131221327. The next prime is 131221339. The reversal of 131221332 is 233122131.

131221332 is a `hidden beast` number, since 1 + 312 + 21 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165288 + ... + 166079.

It is an arithmetic number, because the mean of its divisors is an integer number (10051496).

Almost surely, 2131221332 is an apocalyptic number.

131221332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131221332 is an abundant number, since it is smaller than the sum of its proper divisors (230632524).

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

131221332 is a wasteful number, since it uses less digits than its factorization.

131221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331388 (or 331383 counting only the distinct ones).

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

The square root of 131221332 is about 11455.1879949654. The cubic root of 131221332 is about 508.1611750138.

Adding to 131221332 its reverse (233122131), we get a palindrome (364343463).

The spelling of 131221332 in words is "one hundred thirty-one million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 331367 662734 994101 1325468 1988202 2982303 3645037 3976404 5964606 7290074 10935111 11929212 14580148 21870222 32805333 43740444 65610666 131221332