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131300412 = 223191633533
BaseRepresentation
bin1111101001101…
…11110000111100
3100011001202022020
413310313300330
5232103103122
621010120140
73153015015
oct764676074
9304052266
10131300412
116812aa41
1237b80050
1321282669
141361c00c
15b7d8c5c
hex7d37c3c

131300412 has 48 divisors (see below), whose sum is σ = 324562560. Its totient is φ = 41197248.

The previous prime is 131300363. The next prime is 131300413. The reversal of 131300412 is 214003131.

It is a junction number, because it is equal to n+sod(n) for n = 131300391 and 131300400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35398 + ... + 38930.

It is an arithmetic number, because the mean of its divisors is an integer number (6761720).

Almost surely, 2131300412 is an apocalyptic number.

131300412 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 131300412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162281280).

131300412 is an abundant number, since it is smaller than the sum of its proper divisors (193262148).

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

131300412 is a wasteful number, since it uses less digits than its factorization.

131300412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131300412 is about 11458.6391862210. The cubic root of 131300412 is about 508.2632349337.

Adding to 131300412 its reverse (214003131), we get a palindrome (345303543).

The spelling of 131300412 in words is "one hundred thirty-one million, three hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 163 228 326 489 652 978 1956 3097 3533 6194 7066 9291 10599 12388 14132 18582 21198 37164 42396 67127 134254 201381 268508 402762 575879 805524 1151758 1727637 2303516 3455274 6910548 10941701 21883402 32825103 43766804 65650206 131300412