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10203127830 = 23257175967241
BaseRepresentation
bin10011000000010011…
…10110000000010110
3222100001222121010100
421200021312000112
5131344000042310
64404240234530
7510562104240
oct114011660026
928301877110
1010203127830
114366443a55
121b8900ba46
13c67acb35c
146cb11b090
153eab33ec0
hex260276016

10203127830 has 384 divisors, whose sum is σ = 33270082560. Its totient is φ = 2116730880.

The previous prime is 10203127799. The next prime is 10203127853. The reversal of 10203127830 is 3872130201.

It is a junction number, because it is equal to n+sod(n) for n = 10203127794 and 10203127803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42336510 + ... + 42336750.

It is an arithmetic number, because the mean of its divisors is an integer number (86640840).

Almost surely, 210203127830 is an apocalyptic number.

10203127830 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 10203127830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635041280).

10203127830 is an abundant number, since it is smaller than the sum of its proper divisors (23066954730).

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

10203127830 is a wasteful number, since it uses less digits than its factorization.

10203127830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10203127830 in words is "ten billion, two hundred three million, one hundred twenty-seven thousand, eight hundred thirty".