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2112211001010 = 23511431051141629
BaseRepresentation
bin11110101111001001100…
…101100001111010110010
321110220222121122022112110
4132233021211201322302
5234101302004013020
64254200352110150
7305413362163425
oct36571145417262
97426877568473
102112211001010
11744869054760
122a143b235356
13124246b44ca6
14743355759bc
1539e242668e0
hex1ebc9961eb2

2112211001010 has 128 divisors (see below), whose sum is σ = 5664184796160. Its totient is φ = 499663584000.

The previous prime is 2112211000993. The next prime is 2112211001011. The reversal of 2112211001010 is 101001122112.

It is a super-2 number, since 2×21122110010102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112211001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14842876 + ... + 14984504.

It is an arithmetic number, because the mean of its divisors is an integer number (44251443720).

Almost surely, 22112211001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112211001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832092398080).

2112211001010 is an abundant number, since it is smaller than the sum of its proper divisors (3551973795150).

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

2112211001010 is a wasteful number, since it uses less digits than its factorization.

2112211001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142744.

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

Adding to 2112211001010 its reverse (101001122112), we get a palindrome (2213212123122).

The spelling of 2112211001010 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1051 1290 1419 2102 2365 2838 3153 4730 5255 6306 7095 10510 11561 14190 15765 23122 31530 34683 45193 57805 69366 90386 115610 135579 141629 173415 225965 271158 283258 346830 424887 451930 497123 677895 708145 849774 994246 1355790 1416290 1491369 1557919 2124435 2485615 2982738 3115838 4248870 4673757 4971230 6090047 7456845 7789595 9347514 12180094 14913690 15579190 18270141 23368785 30450235 36540282 46737570 60900470 66990517 91350705 133981034 148852079 182701410 200971551 297704158 334952585 401943102 446556237 669905170 744260395 893112474 1004857755 1488520790 1637372869 2009715510 2232781185 3274745738 4465562370 4912118607 6400639397 8186864345 9824237214 12801278794 16373728690 19201918191 24560593035 32003196985 38403836382 49121186070 64006393970 70407033367 96009590955 140814066734 192019181910 211221100101 352035166835 422442200202 704070333670 1056105500505 2112211001010