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112112100210 = 235112922951157
BaseRepresentation
bin110100001101001100…
…1101110001101110010
3101201101021200210011210
41220122121232031302
53314101144201320
6123300435220550
711046146062005
oct1503231561562
9351337623153
10112112100210
11436013a3280
121988a147756
13a758c63546
1455d78dd53c
152db27500e0
hex1a1a66e372

112112100210 has 128 divisors (see below), whose sum is σ = 304983532800. Its totient is φ = 26126392320.

The previous prime is 112112100209. The next prime is 112112100271. The reversal of 112112100210 is 12001211211.

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 63 ways as a sum of consecutive naturals, for example, 2165952 + ... + 2217108.

It is an arithmetic number, because the mean of its divisors is an integer number (2382683850).

Almost surely, 2112112100210 is an apocalyptic number.

112112100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152491766400).

112112100210 is an abundant number, since it is smaller than the sum of its proper divisors (192871432590).

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

112112100210 is a wasteful number, since it uses less digits than its factorization.

112112100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51436.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112112100210 its reverse (12001211211), we get a palindrome (124113311421).

The spelling of 112112100210 in words is "one hundred twelve billion, one hundred twelve million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 229 290 319 330 435 458 638 687 870 957 1145 1374 1595 1914 2290 2519 3190 3435 4785 5038 6641 6870 7557 9570 12595 13282 15114 19923 25190 33205 37785 39846 51157 66410 73051 75570 99615 102314 146102 153471 199230 219153 255785 306942 365255 438306 511570 562727 730510 767355 1095765 1125454 1483553 1534710 1688181 2191530 2813635 2967106 3376362 4450659 5627270 7417765 8440905 8901318 11714953 14835530 16319083 16881810 22253295 23429906 32638166 35144859 44506590 48957249 58574765 70289718 81595415 97914498 117149530 128864483 163190830 175724295 244786245 257728966 339733637 351448590 386593449 489572490 644322415 679467274 773186898 1019200911 1288644830 1698668185 1932967245 2038401822 3397336370 3737070007 3865934490 5096004555 7474140014 10192009110 11211210021 18685350035 22422420042 37370700070 56056050105 112112100210