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12202031300 = 22522329612999
BaseRepresentation
bin10110101110100110…
…00011100011000100
31011111101021102012012
423113103003203010
5144442210000200
65334443513352
7611243361164
oct132723034304
934441242165
1012202031300
1151a1801798
122446528858
1311c5c80584
1483a7ac5a4
154b637ba35
hex2d74c38c4

12202031300 has 144 divisors (see below), whose sum is σ = 29060640000. Its totient is φ = 4432243200.

The previous prime is 12202031293. The next prime is 12202031311. The reversal of 12202031300 is 313020221.

It is a happy 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, 4067201 + ... + 4070199.

It is an arithmetic number, because the mean of its divisors is an integer number (201810000).

Almost surely, 212202031300 is an apocalyptic number.

12202031300 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 12202031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320000).

12202031300 is an abundant number, since it is smaller than the sum of its proper divisors (16858608700).

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

12202031300 is a wasteful number, since it uses less digits than its factorization.

12202031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12202031300 its reverse (313020221), we get a palindrome (12515051521).

The spelling of 12202031300 in words is "twelve billion, two hundred two million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 61 92 100 115 116 122 145 230 244 290 305 460 575 580 610 667 725 1150 1220 1334 1403 1450 1525 1769 2300 2668 2806 2900 2999 3050 3335 3538 5612 5998 6100 6670 7015 7076 8845 11996 13340 14030 14995 16675 17690 28060 29990 33350 35075 35380 40687 44225 59980 66700 68977 70150 74975 81374 86971 88450 137954 140300 149950 162748 173942 176900 182939 203435 275908 299900 344885 347884 365878 406870 434855 689770 731756 813740 869710 914695 1017175 1379540 1724425 1739420 1829390 2000333 2034350 2174275 3448850 3658780 4000666 4068700 4207597 4348550 4573475 5305231 6897700 8001332 8415194 8697100 9146950 10001665 10610462 16830388 18293900 20003330 21037985 21220924 26526155 40006660 42075970 50008325 53052310 84151940 100016650 105189925 106104620 122020313 132630775 200033300 210379850 244040626 265261550 420759700 488081252 530523100 610101565 1220203130 2440406260 3050507825 6101015650 12202031300