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2102010222200 = 235272226994531
BaseRepresentation
bin11110100101101001100…
…100101001011001111000
321102221122201002001122212
4132211221210221121320
5233414404104102300
64245352234034252
7304602526041500
oct36455144513170
97387581061585
102102010222200
11740503a75649
1229b472b78988
131232ac689bb5
1473a488aaa00
1539a28948935
hex1e969929678

2102010222200 has 144 divisors (see below), whose sum is σ = 5687645398200. Its totient is φ = 720363974400.

The previous prime is 2102010222127. The next prime is 2102010222211. The reversal of 2102010222200 is 22220102012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22188935 + ... + 22283465.

Almost surely, 22102010222200 is an apocalyptic number.

2102010222200 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 2102010222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843822699100).

2102010222200 is an abundant number, since it is smaller than the sum of its proper divisors (3585635176000).

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

2102010222200 is a wasteful number, since it uses less digits than its factorization.

2102010222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96830 (or 96814 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102010222200 its reverse (22220102012), we get a palindrome (2124230324212).

The spelling of 2102010222200 in words is "two trillion, one hundred two billion, ten million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2269 2450 4538 4900 9076 9800 11345 15883 18152 22690 31766 45380 56725 63532 79415 90760 94531 111181 113450 127064 158830 189062 222362 226900 317660 378124 397075 444724 453800 472655 555905 635320 661717 756248 794150 889448 945310 1111810 1323434 1588300 1890620 2223620 2363275 2646868 2779525 3176600 3308585 3781240 4447240 4632019 4726550 5293736 5559050 6617170 9264038 9453100 11118100 13234340 16542925 18528076 18906200 22236200 23160095 26468680 33085850 37056152 46320190 66171700 92640380 115800475 132343400 185280760 214490839 231600950 428981678 463201900 857963356 926403800 1072454195 1501435873 1715926712 2144908390 3002871746 4289816780 5362270975 6005743492 7507179365 8579633560 10510051111 10724541950 12011486984 15014358730 21020102222 21449083900 30028717460 37535896825 42040204444 42898167800 52550255555 60057434920 75071793650 84080408888 105100511110 150143587300 210201022220 262751277775 300287174600 420402044440 525502555550 1051005111100 2102010222200