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10204541300 = 2252473476257
BaseRepresentation
bin10011000000011110…
…01111000101110100
3222100011122102001002
421200033033011310
5131344330310200
64404330422432
7510610112162
oct114017170564
928304572032
1010204541300
114367219a08
121b89591a18
13c681a4825
146cb3a8232
153ead12bd5
hex2603cf174

10204541300 has 72 divisors (see below), whose sum is σ = 22683798144. Its totient is φ = 3982819840.

The previous prime is 10204541287. The next prime is 10204541309. The reversal of 10204541300 is 314540201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204541309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1627772 + ... + 1634028.

It is an arithmetic number, because the mean of its divisors is an integer number (315052752).

Almost surely, 210204541300 is an apocalyptic number.

10204541300 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 10204541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11341899072).

10204541300 is an abundant number, since it is smaller than the sum of its proper divisors (12479256844).

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

10204541300 is a wasteful number, since it uses less digits than its factorization.

10204541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 10204541300 in words is "ten billion, two hundred four million, five hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 347 470 694 940 1175 1388 1735 2350 3470 4700 6257 6940 8675 12514 16309 17350 25028 31285 32618 34700 62570 65236 81545 125140 156425 163090 294079 312850 326180 407725 588158 625700 815450 1176316 1470395 1630900 2171179 2940790 4342358 5881580 7351975 8684716 10855895 14703950 21711790 29407900 43423580 54279475 102045413 108558950 204090826 217117900 408181652 510227065 1020454130 2040908260 2551135325 5102270650 10204541300