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131323212 = 223219375189
BaseRepresentation
bin1111101001111…
…01010101001100
3100011002220120200
413310331111030
5232104320322
621010413500
73153141336
oct764752514
9304086520
10131323212
1168146089
1237b91290
132128cb57
1413626456
15b7e08ac
hex7d3d54c

131323212 has 72 divisors (see below), whose sum is σ = 358940400. Its totient is φ = 40341888.

The previous prime is 131323189. The next prime is 131323253. The reversal of 131323212 is 212323131.

131323212 is a `hidden beast` number, since 131 + 323 + 212 = 666.

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 23 ways as a sum of consecutive naturals, for example, 22714 + ... + 27902.

Almost surely, 2131323212 is an apocalyptic number.

131323212 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 131323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179470200).

131323212 is an abundant number, since it is smaller than the sum of its proper divisors (227617188).

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

131323212 is a wasteful number, since it uses less digits than its factorization.

131323212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5250 counting only the distinct ones).

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

The square root of 131323212 is about 11459.6340255699. The cubic root of 131323212 is about 508.2926527928.

Adding to 131323212 its reverse (212323131), we get a palindrome (343646343).

The spelling of 131323212 in words is "one hundred thirty-one million, three hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 5189 6327 8436 10378 12654 15567 20756 25308 31134 46701 62268 93402 98591 186804 191993 197182 295773 383986 394364 575979 591546 767972 887319 1151958 1183092 1727937 1774638 2303916 3455874 3549276 3647867 6911748 7295734 10943601 14591468 21887202 32830803 43774404 65661606 131323212