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210200001002112 = 27311409121670557
BaseRepresentation
bin101111110010110100000000…
…011001000011101010000000
31000120020220221111000220112110
4233302310000121003222000
5210022404100224031422
62023020314122055320
762163306656311542
oct5762640031035200
91016226844026473
10210200001002112
1160a81357732460
121b6aa20304a540
139039a0c9c7724
1439c9a3d015692
151947bb75a360c
hexbf2d00643a80

210200001002112 has 128 divisors (see below), whose sum is σ = 610591528267200. Its totient is φ = 63541231165440.

The previous prime is 210200001002099. The next prime is 210200001002209. The reversal of 210200001002112 is 211200100002012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59107663 + ... + 62562894.

Almost surely, 2210200001002112 is an apocalyptic number.

210200001002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210200001002112 is an abundant number, since it is smaller than the sum of its proper divisors (400391527265088).

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

210200001002112 is a wasteful number, since it uses less digits than its factorization.

210200001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121670994 (or 121670982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210200001002112 its reverse (211200100002012), we get a palindrome (421400101004124).

The spelling of 210200001002112 in words is "two hundred ten trillion, two hundred billion, one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 409 528 704 818 1056 1227 1408 1636 2112 2454 3272 4224 4499 4908 6544 8998 9816 13088 13497 17996 19632 26176 26994 35992 39264 52352 53988 71984 78528 107976 143968 157056 215952 287936 431904 575872 863808 1727616 121670557 243341114 365011671 486682228 730023342 973364456 1338376127 1460046684 1946728912 2676752254 2920093368 3893457824 4015128381 5353504508 5840186736 7786915648 8030256762 10707009016 11680373472 15573831296 16060513524 21414018032 23360746944 32121027048 42828036064 46721493888 49763257813 64242054096 85656072128 99526515626 128484108192 149289773439 171312144256 199053031252 256968216384 298579546878 398106062504 513936432768 547395835943 597159093756 796212125008 1094791671886 1194318187512 1592424250016 1642187507829 2189583343772 2388636375024 3184848500032 3284375015658 4379166687544 4777272750048 6369697000064 6568750031316 8758333375088 9554545500096 13137500062632 17516666750176 19109091000192 26275000125264 35033333500352 52550000250528 70066667000704 105100000501056 210200001002112