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131321112 = 23313232377
BaseRepresentation
bin1111101001111…
…00110100011000
3100011002210200220
413310330310120
5232104233422
621010400040
73153132246
oct764746430
9304083626
10131321112
116814454a
1237b90020
132128bc00
1413625796
15b7dee5c
hex7d3cd18

131321112 has 48 divisors (see below), whose sum is σ = 355510440. Its totient is φ = 40405248.

The previous prime is 131321101. The next prime is 131321131. The reversal of 131321112 is 211123131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 131321091 and 131321100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12133 + ... + 20244.

Almost surely, 2131321112 is an apocalyptic number.

131321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131321112 is an abundant number, since it is smaller than the sum of its proper divisors (224189328).

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

131321112 is a wasteful number, since it uses less digits than its factorization.

131321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32412 (or 32395 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 131321112 is about 11459.5423992409. The cubic root of 131321112 is about 508.2899433955.

Adding to 131321112 its reverse (211123131), we get a palindrome (342444243).

It can be divided in two parts, 13 and 1321112, that added together give a triangular number (1321125 = T1625).

The spelling of 131321112 in words is "one hundred thirty-one million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 32377 64754 97131 129508 194262 259016 388524 420901 777048 841802 1262703 1683604 2525406 3367208 5050812 5471713 10101624 10943426 16415139 21886852 32830278 43773704 65660556 131321112