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3102004432032 = 25311193128311863
BaseRepresentation
bin101101001000111101110…
…111110100110010100000
3101222112211000121022112020
4231020331313310302200
5401310401113311112
610333012520301440
7440053363423542
oct55107567646240
911875730538466
103102004432032
11a966096a6280
12421233011880
131966966a90ac
14aa1d0247692
1555a5491948c
hex2d23ddf4ca0

3102004432032 has 192 divisors, whose sum is σ = 8936751430656. Its totient is φ = 934323240960.

The previous prime is 3102004431991. The next prime is 3102004432067. The reversal of 3102004432032 is 2302344002013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3102004431993 and 3102004432011.

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, 261479733 + ... + 261491595.

It is an arithmetic number, because the mean of its divisors is an integer number (46545580368).

Almost surely, 23102004432032 is an apocalyptic number.

3102004432032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102004432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468375715328).

3102004432032 is an abundant number, since it is smaller than the sum of its proper divisors (5834746998624).

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

3102004432032 is a wasteful number, since it uses less digits than its factorization.

3102004432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13363 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3102004432032 its reverse (2302344002013), we get a palindrome (5404348434045).

The spelling of 3102004432032 in words is "three trillion, one hundred two billion, four million, four hundred thirty-two thousand, thirty-two".