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130313002032 = 2432904951403
BaseRepresentation
bin111100101011101000…
…0101001110000110000
3110110100201220101200200
41321113100221300300
54113340112031112
6135510455515200
712262164145503
oct1712720516060
9413321811620
10130313002032
11502a13241a4
1221309688b00
13c3999a5735
146442ca513a
1535ca58ecdc
hex1e57429c30

130313002032 has 30 divisors (see below), whose sum is σ = 364695415812. Its totient is φ = 43437667296.

The previous prime is 130313002021. The next prime is 130313002049. The reversal of 130313002032 is 230200313031.

130313002032 is a `hidden beast` number, since 130 + 31 + 300 + 203 + 2 = 666.

It is a super-2 number, since 2×1303130020322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130313001996 and 130313002014.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 452475558 + ... + 452475845.

Almost surely, 2130313002032 is an apocalyptic number.

130313002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130313002032 is an abundant number, since it is smaller than the sum of its proper divisors (234382413780).

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

130313002032 is a wasteful number, since it uses less digits than its factorization.

130313002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904951417 (or 904951408 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130313002032 its reverse (230200313031), we get a palindrome (360513315063).

The spelling of 130313002032 in words is "one hundred thirty billion, three hundred thirteen million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 904951403 1809902806 2714854209 3619805612 5429708418 7239611224 8144562627 10859416836 14479222448 16289125254 21718833672 32578250508 43437667344 65156501016 130313002032