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130011132 = 223103293359
BaseRepresentation
bin1111011111111…
…00111111111100
3100001122020202010
413233330333330
5231240324012
620522331220
73136035126
oct757747774
9301566663
10130011132
116742a319
1237659b10
1320c20884
14133a4216
15b631c3c
hex7bfcffc

130011132 has 48 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 42650688.

The previous prime is 130011131. The next prime is 130011149. The reversal of 130011132 is 231110031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130011131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361969 + ... + 362327.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2130011132 is an apocalyptic number.

130011132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130011132 is an abundant number, since it is smaller than the sum of its proper divisors (178194948).

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

130011132 is a wasteful number, since it uses less digits than its factorization.

130011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 130011132 is about 11402.2424110348. The cubic root of 130011132 is about 506.5941611006.

Adding to 130011132 its reverse (231110031), we get a palindrome (361121163).

The spelling of 130011132 in words is "one hundred thirty million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 103 206 293 309 359 412 586 618 718 879 1077 1172 1236 1436 1758 2154 3516 4308 30179 36977 60358 73954 90537 105187 110931 120716 147908 181074 210374 221862 315561 362148 420748 443724 631122 1262244 10834261 21668522 32502783 43337044 65005566 130011132