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12032100030 = 2351785727529
BaseRepresentation
bin10110011010010101…
…10100011010111110
31011001112112000022110
423031022310122332
5144120204200110
65305533354450
7604111106556
oct131512643276
934045460273
1012032100030
115114896925
1223b9638a26
1311999c3622
14821db6166
154a64b1a20
hex2cd2b46be

12032100030 has 64 divisors (see below), whose sum is σ = 30612479040. Its totient is φ = 3016187904.

The previous prime is 12032100019. The next prime is 12032100089. The reversal of 12032100030 is 3000123021.

It is a happy number.

It is a super-2 number, since 2×120321000302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12032099979 and 12032100015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423306 + ... + 450834.

It is an arithmetic number, because the mean of its divisors is an integer number (478319985).

Almost surely, 212032100030 is an apocalyptic number.

12032100030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306239520).

12032100030 is an abundant number, since it is smaller than the sum of its proper divisors (18580379010).

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

12032100030 is a wasteful number, since it uses less digits than its factorization.

12032100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28413.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12032100030 its reverse (3000123021), we get a palindrome (15032223051).

The spelling of 12032100030 in words is "twelve billion, thirty-two million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 857 1714 2571 4285 5142 8570 12855 14569 25710 27529 29138 43707 55058 72845 82587 87414 137645 145690 165174 218535 275290 412935 437070 467993 825870 935986 1403979 2339965 2807958 4679930 7019895 14039790 23592353 47184706 70777059 117961765 141554118 235923530 353885295 401070001 707770590 802140002 1203210003 2005350005 2406420006 4010700010 6016050015 12032100030