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10041210300 = 223521118116811
BaseRepresentation
bin10010101101000000…
…01011010110111100
3221220210022100000210
421112200023112330
5131031022212200
64340213552420
7503554610412
oct112640132674
927823270023
1010041210300
114293001a10
121b42945710
13c403b8b74
146b380d2b2
153db7ed650
hex25680b5bc

10041210300 has 144 divisors (see below), whose sum is σ = 31870710144. Its totient is φ = 2420640000.

The previous prime is 10041210253. The next prime is 10041210379. The reversal of 10041210300 is 301214001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588895 + ... + 605705.

It is an arithmetic number, because the mean of its divisors is an integer number (221324376).

Almost surely, 210041210300 is an apocalyptic number.

10041210300 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 10041210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15935355072).

10041210300 is an abundant number, since it is smaller than the sum of its proper divisors (21829499844).

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

10041210300 is a wasteful number, since it uses less digits than its factorization.

10041210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17013 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10041210300 its reverse (301214001), we get a palindrome (10342424301).

The spelling of 10041210300 in words is "ten billion, forty-one million, two hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 181 220 275 300 330 362 543 550 660 724 825 905 1086 1100 1650 1810 1991 2172 2715 3300 3620 3982 4525 5430 5973 7964 9050 9955 10860 11946 13575 16811 18100 19910 23892 27150 29865 33622 39820 49775 50433 54300 59730 67244 84055 99550 100866 119460 149325 168110 184921 199100 201732 252165 298650 336220 369842 420275 504330 554763 597300 739684 840550 924605 1008660 1109526 1260825 1681100 1849210 2219052 2521650 2773815 3042791 3698420 4623025 5043300 5547630 6085582 9128373 9246050 11095260 12171164 13869075 15213955 18256746 18492100 27738150 30427910 33470701 36513492 45641865 55476300 60855820 66941402 76069775 91283730 100412103 133882804 152139550 167353505 182567460 200824206 228209325 304279100 334707010 401648412 456418650 502060515 669414020 836767525 912837300 1004121030 1673535050 2008242060 2510302575 3347070100 5020605150 10041210300