Search a number
-
+
22102100211200 = 29523175447087
BaseRepresentation
bin1010000011010000010111…
…10101001111011000000000
32220020221101100212111000112
411001220023311033120000
510344110100123224300
6115001321545010452
74440552435012122
oct501501365173000
986227340774015
1022102100211200
1170514a2406759
12258b650783a28
13c442b04ba859
14565a66a71212
15284dd6657e35
hex141a0bd4f600

22102100211200 has 120 divisors (see below), whose sum is σ = 54932433554592. Its totient is φ = 8812949381120.

The previous prime is 22102100211167. The next prime is 22102100211277. The reversal of 22102100211200 is 211200120122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1334057 + ... + 6781143.

Almost surely, 222102100211200 is an apocalyptic number.

22102100211200 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 22102100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27466216777296).

22102100211200 is an abundant number, since it is smaller than the sum of its proper divisors (32830333343392).

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

22102100211200 is an equidigital number, since it uses as much as digits as its factorization.

22102100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447432 (or 5447411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22102100211200 its reverse (211200120122), we get a palindrome (22313300331322).

The spelling of 22102100211200 in words is "twenty-two trillion, one hundred two billion, one hundred million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 317 320 400 512 634 640 800 1268 1280 1585 1600 2536 2560 3170 3200 5072 6340 6400 7925 10144 12680 12800 15850 20288 25360 31700 40576 50720 63400 81152 101440 126800 162304 202880 253600 405760 507200 811520 1014400 2028800 4057600 5447087 10894174 21788348 27235435 43576696 54470870 87153392 108941740 136177175 174306784 217883480 272354350 348613568 435766960 544708700 697227136 871533920 1089417400 1394454272 1726726579 1743067840 2178834800 2788908544 3453453158 3486135680 4357669600 6906906316 6972271360 8633632895 8715339200 13813812632 13944542720 17267265790 17430678400 27627625264 34534531580 34861356800 43168164475 55255250528 69069063160 69722713600 86336328950 110510501056 138138126320 172672657900 221021002112 276276252640 345345315800 442042004224 552552505280 690690631600 884084008448 1105105010560 1381381263200 2210210021120 2762762526400 4420420042240 5525525052800 11051050105600 22102100211200