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10034324300 = 22527112132701
BaseRepresentation
bin10010101100001011…
…11010001101001100
3221220022100111012202
421112011322031030
5131022241334200
64335410221032
7503442230540
oct112605721514
927808314182
1010034324300
11428a129400
121b40584778
13c3bb47800
146b2939a20
153daddd1d5
hex25617a34c

10034324300 has 324 divisors, whose sum is σ = 29661257808. Its totient is φ = 2882880000.

The previous prime is 10034324263. The next prime is 10034324303. The reversal of 10034324300 is 342343001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10034324303) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14313950 + ... + 14314650.

It is an arithmetic number, because the mean of its divisors is an integer number (91547092).

Almost surely, 210034324300 is an apocalyptic number.

10034324300 is a gapful number since it is divisible by the number (10) 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 10034324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830628904).

10034324300 is an abundant number, since it is smaller than the sum of its proper divisors (19626933508).

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

10034324300 is a wasteful number, since it uses less digits than its factorization.

10034324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10034324300 its reverse (342343001), we get a palindrome (10376667301).

The spelling of 10034324300 in words is "ten billion, thirty-four million, three hundred twenty-four thousand, three hundred".