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210113132321300 = 225213179507381553
BaseRepresentation
bin101111110001100011000110…
…100111010101101000010100
31000112221121201110021200210212
4233301203012213111220110
5210014443143333240200
62022512350200504552
762154113201564465
oct5761430647255024
91015847643250725
10210113132321300
1160a4852a61486a
121b6953baa7b158
139031777847a50
1439c575bd44d6c
1519457d10aa035
hexbf18c69d5a14

210113132321300 has 72 divisors (see below), whose sum is σ = 519901652898936. Its totient is φ = 73016690319360.

The previous prime is 210113132321299. The next prime is 210113132321341. The reversal of 210113132321300 is 3123231311012.

210113132321300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 117647907219844 + 92465225101456 = 10846562^2 + 9615884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4753668677 + ... + 4753712876.

It is an arithmetic number, because the mean of its divisors is an integer number (7220856290263).

Almost surely, 2210113132321300 is an apocalyptic number.

210113132321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210113132321300 is an abundant number, since it is smaller than the sum of its proper divisors (309788520577636).

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

210113132321300 is a wasteful number, since it uses less digits than its factorization.

210113132321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507381597 (or 9507381590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 210113132321300 its reverse (3123231311012), we get a palindrome (213236363632312).

The spelling of 210113132321300 in words is "two hundred ten trillion, one hundred thirteen billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 9507381553 19014763106 38029526212 47536907765 95073815530 123595960189 161625486401 190147631060 237684538825 247191920378 323250972802 475369077650 494383840756 617979800945 646501945604 808127432005 950738155300 1235959601890 1616254864010 2101131323213 2471919203780 3089899004725 3232509728020 4040637160025 4202262646426 6179798009450 8081274320050 8404525292852 10505656616065 12359596018900 16162548640100 21011313232130 42022626464260 52528283080325 105056566160650 210113132321300