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210112210101200 = 245211114714162913
BaseRepresentation
bin101111110001100010001111…
…101001010110001111010000
31000112221112100011222001122212
4233301202033221112033100
5210014434301241214300
62022512114454251252
762154051303052241
oct5761421751261720
91015845304861585
10210112210101200
1160a480a6a961a0
121b6951a2056b28
13903165b771594
1439c56b1682cc8
15194577a13e935
hexbf188fa563d0

210112210101200 has 120 divisors (see below), whose sum is σ = 550733140573056. Its totient is φ = 76397761024000.

The previous prime is 210112210101161. The next prime is 210112210101217. The reversal of 210112210101200 is 2101012211012.

It is a super-2 number, since 2×2101122101012002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48390944 + ... + 52553856.

Almost surely, 2210112210101200 is an apocalyptic number.

210112210101200 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 210112210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275366570286528).

210112210101200 is an abundant number, since it is smaller than the sum of its proper divisors (340620930471856).

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

210112210101200 is a wasteful number, since it uses less digits than its factorization.

210112210101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174413 (or 4174402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210112210101200 its reverse (2101012211012), we get a palindrome (212213222312212).

The spelling of 210112210101200 in words is "two hundred ten trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 11471 22942 45884 57355 91768 114710 126181 183536 229420 252362 286775 458840 504724 573550 630905 917680 1009448 1147100 1261810 2018896 2294200 2523620 3154525 4162913 4588400 5047240 6309050 8325826 10094480 12618100 16651652 20814565 25236200 33303304 41629130 45792043 50472400 66606608 83258260 91584086 104072825 166516520 183168172 208145650 228960215 333033040 366336344 416291300 457920430 732672688 832582600 915840860 1144801075 1665165200 1831681720 2289602150 3663363440 4579204300 9158408600 18316817200 47752775023 95505550046 191011100092 238763875115 382022200184 477527750230 525280525253 764044400368 955055500460 1050561050506 1193819375575 1910111000920 2101122101012 2387638751150 2626402626265 3820222001840 4202244202024 4775277502300 5252805252530 8404488404048 9550555004600 10505610505060 13132013131325 19101110009200 21011221010120 26264026262650 42022442020240 52528052525300 105056105050600 210112210101200