Search a number
-
+
210112210211200 = 2752112542645171
BaseRepresentation
bin101111110001100010001111…
…101001110001000110000000
31000112221112100012011122112221
4233301202033221301012000
5210014434301303224300
62022512114500500424
762154051304021033
oct5761421751610600
91015845305148487
10210112210211200
1160a480a7060900
121b6951a20aa714
13903165b7ac67b
1439c56b16b101a
15194577a16231a
hexbf188fa71180

210112210211200 has 144 divisors (see below), whose sum is σ = 570518141259780. Its totient is φ = 76404439936000.

The previous prime is 210112210211177. The next prime is 210112210211209. The reversal of 210112210211200 is 2112012211012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112210211209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270935386 + ... + 271709785.

Almost surely, 2210112210211200 is an apocalyptic number.

210112210211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112210211200 is an abundant number, since it is smaller than the sum of its proper divisors (360405931048580).

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

210112210211200 is a wasteful number, since it uses less digits than its factorization.

210112210211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542645217 (or 542645189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210112210211200 its reverse (2112012211012), we get a palindrome (212224222422212).

The spelling of 210112210211200 in words is "two hundred ten trillion, one hundred twelve billion, two hundred ten million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 128 160 176 200 220 242 275 320 352 400 440 484 550 605 640 704 800 880 968 1100 1210 1408 1600 1760 1936 2200 2420 3025 3200 3520 3872 4400 4840 6050 7040 7744 8800 9680 12100 15488 17600 19360 24200 35200 38720 48400 77440 96800 193600 387200 542645171 1085290342 2170580684 2713225855 4341161368 5426451710 5969096881 8682322736 10852903420 11938193762 13566129275 17364645472 21705806840 23876387524 27132258550 29845484405 34729290944 43411613680 47752775048 54264517100 59690968810 65660065691 69458581888 86823227360 95505550096 108529034200 119381937620 131320131382 149227422025 173646454720 191011100192 217058068400 238763875240 262640262764 298454844050 328300328455 347292909440 382022200384 434116136800 477527750480 525280525528 596909688100 656600656910 764044400768 868232273600 955055500960 1050561051056 1193819376200 1313201313820 1641501642275 1736464547200 1910111001920 2101122102112 2387638752400 2626402627640 3283003284550 3820222003840 4202244204224 4775277504800 5252805255280 6566006569100 8404488408448 9550555009600 10505610510560 13132013138200 19101110019200 21011221021120 26264026276400 42022442042240 52528052552800 105056105105600 210112210211200