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10463244100 = 22525321932
BaseRepresentation
bin10011011111010100…
…00110111101000100
31000000012102212120021
421233222012331010
5132412042302400
64450131344524
7520201051561
oct115752067504
930005385507
1010463244100
11448a257181
122040152144
13ca99734ca
147138ab868
154138b571a
hex26fa86f44

10463244100 has 81 divisors (see below), whose sum is σ = 23262250053. Its totient is φ = 4085053440.

The previous prime is 10463244073. The next prime is 10463244101. The reversal of 10463244100 is 144236401.

The square root of 10463244100 is 102290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7112223556 + 3351020544 = 84334^2 + 57888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10463244101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54213604 + ... + 54213796.

Almost surely, 210463244100 is an apocalyptic number.

10463244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10463244100 is the 102290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10463244100

10463244100 is an abundant number, since it is smaller than the sum of its proper divisors (12799005953).

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

10463244100 is an equidigital number, since it uses as much as digits as its factorization.

10463244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Multiplying 10463244100 by its sum of digits (25), we get a square (261581102500 = 5114502).

10463244100 divided by its sum of digits (25) gives a square (418529764 = 204582).

Multiplying 10463244100 by its product of nonzero digits (2304), we get a square (24107314406400 = 49099202).

The spelling of 10463244100 in words is "ten billion, four hundred sixty-three million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 193 212 265 386 530 772 965 1060 1325 1930 2650 2809 3860 4825 5300 5618 9650 10229 11236 14045 19300 20458 28090 37249 40916 51145 56180 70225 74498 102290 140450 148996 186245 204580 255725 280900 372490 511450 542137 744980 931225 1022900 1084274 1862450 1974197 2168548 2710685 3724900 3948394 5421370 7896788 9870985 10842740 13553425 19741970 27106850 39483940 49354925 54213700 98709850 104632441 197419700 209264882 418529764 523162205 1046324410 2092648820 2615811025 5231622050 10463244100