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131102028 = 223217214219
BaseRepresentation
bin1111101000001…
…11010101001100
3100010200200011200
413310013111030
5232030231103
621001545500
73151230441
oct764072514
9303620150
10131102028
1168004992
1237aa5290
1321213285
14135a99c8
15b79a0a3
hex7d0754c

131102028 has 36 divisors (see below), whose sum is σ = 350892360. Its totient is φ = 41129856.

The previous prime is 131102021. The next prime is 131102029. The reversal of 131102028 is 820201131.

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 self number, because there is not a number n which added to its sum of digits gives 131102028.

It is not an unprimeable number, because it can be changed into a prime (131102021) 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, 106498 + ... + 107721.

It is an arithmetic number, because the mean of its divisors is an integer number (9747010).

Almost surely, 2131102028 is an apocalyptic number.

131102028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131102028 is an abundant number, since it is smaller than the sum of its proper divisors (219790332).

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

131102028 is a wasteful number, since it uses less digits than its factorization.

131102028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214246 (or 214241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131102028 is about 11449.9793886277. The cubic root of 131102028 is about 508.0071247477.

Adding to 131102028 its reverse (820201131), we get a palindrome (951303159).

The spelling of 131102028 in words is "one hundred thirty-one million, one hundred two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 214219 428438 642657 856876 1285314 1927971 2570628 3641723 3855942 7283446 7711884 10925169 14566892 21850338 32775507 43700676 65551014 131102028