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332002331130 = 235174457146059
BaseRepresentation
bin1001101010011001110…
…00011000100111111010
31011201221210221220001110
410311030320120213322
520414420044044010
6412304134101150
732662220152311
oct4651470304772
91151853856043
10332002331130
1111888a72a348
1254416aaa7b6
13253ccca6112
14120d7491278
158981eab120
hex4d4ce189fa

332002331130 has 64 divisors (see below), whose sum is σ = 843871582080. Its totient is φ = 83306809344.

The previous prime is 332002331123. The next prime is 332002331159. The reversal of 332002331130 is 31133200233.

332002331130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3320023311302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332002331097 and 332002331106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2200041 + ... + 2346099.

It is an arithmetic number, because the mean of its divisors is an integer number (13185493470).

Almost surely, 2332002331130 is an apocalyptic number.

332002331130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332002331130 is an abundant number, since it is smaller than the sum of its proper divisors (511869250950).

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

332002331130 is a wasteful number, since it uses less digits than its factorization.

332002331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150543.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 332002331130 its reverse (31133200233), we get a palindrome (363135531363).

The spelling of 332002331130 in words is "three hundred thirty-two billion, two million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 4457 8914 13371 22285 26742 44570 66855 75769 133710 146059 151538 227307 292118 378845 438177 454614 730295 757690 876354 1136535 1460590 2190885 2273070 2483003 4381770 4966006 7449009 12415015 14898018 24830030 37245045 74490090 650984963 1301969926 1952954889 3254924815 3905909778 6509849630 9764774445 11066744371 19529548890 22133488742 33200233113 55333721855 66400466226 110667443710 166001165565 332002331130