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130311002232 = 23334314030039
BaseRepresentation
bin111100101011100100…
…1000001100001111000
3110110100121010210111000
41321113021001201320
54113334104032412
6135510345005000
712262141146255
oct1712711014170
9413317123430
10130311002232
11502a0188774
1221308a83760
13c399455418
14644290442c
1535ca2e74dc
hex1e57241878

130311002232 has 64 divisors (see below), whose sum is σ = 370393056000. Its totient is φ = 42426834912.

The previous prime is 130311002221. The next prime is 130311002233. The reversal of 130311002232 is 232200113031.

130311002232 is a `hidden beast` number, since 130 + 311 + 0 + 0 + 223 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311002233) 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, 7005732 + ... + 7024307.

It is an arithmetic number, because the mean of its divisors is an integer number (5787391500).

Almost surely, 2130311002232 is an apocalyptic number.

130311002232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130311002232 is an abundant number, since it is smaller than the sum of its proper divisors (240082053768).

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

130311002232 is a wasteful number, since it uses less digits than its factorization.

130311002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030097 (or 14030087 counting only the distinct ones).

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

Adding to 130311002232 its reverse (232200113031), we get a palindrome (362511115263).

The spelling of 130311002232 in words is "one hundred thirty billion, three hundred eleven million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 14030039 28060078 42090117 56120156 84180234 112240312 126270351 168360468 252540702 336720936 378811053 505081404 603291677 757622106 1010162808 1206583354 1515244212 1809875031 2413166708 3030488424 3619750062 4826333416 5429625093 7239500124 10859250186 14479000248 16288875279 21718500372 32577750558 43437000744 65155501116 130311002232