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2042210111300 = 2252195983219491
BaseRepresentation
bin11101101101111101001…
…101010100111101000100
321020020022010121200012122
4131231331031110331010
5231424421242030200
64202102310105112
7300354604350032
oct35557515247504
97206263550178
102042210111300
11718107405197
1228b96404b198
1311a76c4786a8
1470bb47ab552
15381c8a2c385
hex1db7d354f44

2042210111300 has 144 divisors (see below), whose sum is σ = 4801080211200. Its totient is φ = 751603996800.

The previous prime is 2042210111269. The next prime is 2042210111363. The reversal of 2042210111300 is 31110122402.

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, 9194555 + ... + 9414045.

It is an arithmetic number, because the mean of its divisors is an integer number (33340834800).

Almost surely, 22042210111300 is an apocalyptic number.

2042210111300 is a gapful number since it is divisible by the number (20) 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 2042210111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400540105600).

2042210111300 is an abundant number, since it is smaller than the sum of its proper divisors (2758870099900).

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

2042210111300 is a wasteful number, since it uses less digits than its factorization.

2042210111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219666 (or 219659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2042210111300 its reverse (31110122402), we get a palindrome (2073320233702).

The spelling of 2042210111300 in words is "two trillion, forty-two billion, two hundred ten million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 59 76 83 95 100 118 166 190 236 295 332 380 415 475 590 830 950 1121 1180 1475 1577 1660 1900 2075 2242 2950 3154 4150 4484 4897 5605 5900 6308 7885 8300 9794 11210 15770 19588 22420 24485 28025 31540 39425 48970 56050 78850 93043 97940 112100 122425 157700 186086 219491 244850 372172 438982 465215 489700 877964 930430 1097455 1860860 2194910 2326075 4170329 4389820 4652150 5487275 8340658 9304300 10974550 12949969 16681316 18217753 20851645 21949100 25899938 36435506 41703290 51799876 64749845 72871012 83406580 91088765 104258225 129499690 182177530 208516450 246049411 258999380 323749225 346137307 364355060 417032900 455443825 492098822 647498450 692274614 910887650 984197644 1074847427 1230247055 1294996900 1384549228 1730686535 1821775300 2149694854 2460494110 3461373070 4299389708 4920988220 5374237135 6151235275 6922746140 8653432675 10748474270 12302470550 17306865350 20422101113 21496948540 24604941100 26871185675 34613730700 40844202226 53742371350 81688404452 102110505565 107484742700 204221011130 408442022260 510552527825 1021105055650 2042210111300