Search a number
-
+
131033112 = 23376431213
BaseRepresentation
bin1111100111101…
…10100000011000
3100010120011122020
413303312200120
5232021024422
621000254440
73150522510
oct763664030
9303504566
10131033112
1167a68131
1237a71420
13211baab2
141358c840
15b78495c
hex7cf6818

131033112 has 64 divisors (see below), whose sum is σ = 375271680. Its totient is φ = 37348992.

The previous prime is 131033087. The next prime is 131033137. The reversal of 131033112 is 211330131.

It is an interprime number because it is at equal distance from previous prime (131033087) and next prime (131033137).

It is a junction number, because it is equal to n+sod(n) for n = 131033091 and 131033100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107418 + ... + 108630.

It is an arithmetic number, because the mean of its divisors is an integer number (5863620).

Almost surely, 2131033112 is an apocalyptic number.

131033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131033112 is an abundant number, since it is smaller than the sum of its proper divisors (244238568).

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

131033112 is a wasteful number, since it uses less digits than its factorization.

131033112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131033112 is about 11446.9695553015. The cubic root of 131033112 is about 507.9180949647.

Adding to 131033112 its reverse (211330131), we get a palindrome (342363243).

The spelling of 131033112 in words is "one hundred thirty-one million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 643 1213 1286 1929 2426 2572 3639 3858 4501 4852 5144 7278 7716 8491 9002 9704 13503 14556 15432 16982 18004 25473 27006 29112 33964 36008 50946 54012 67928 101892 108024 203784 779959 1559918 2339877 3119836 4679754 5459713 6239672 9359508 10919426 16379139 18719016 21838852 32758278 43677704 65516556 131033112