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112112212001010 = 235136711047388391
BaseRepresentation
bin11001011111011100101000…
…100100100100000011110010
3112200221211012211001220101120
4121133130220210210003302
5104143321302233013020
61034235350021243110
732420561061346614
oct3137345044440362
9480854184056346
10112112212001010
11327a4581a081a1
12106a8120b63496
134a731a03a6660
141d9838d696db4
15ce6468ac5740
hex65f7289240f2

112112212001010 has 128 divisors (see below), whose sum is σ = 294119206907904. Its totient is φ = 27182428035840.

The previous prime is 112112212000981. The next prime is 112112212001017. The reversal of 112112212001010 is 10100212211211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (112112212001017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288463915 + ... + 288852305.

It is an arithmetic number, because the mean of its divisors is an integer number (2297806303968).

Almost surely, 2112112212001010 is an apocalyptic number.

112112212001010 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 112112212001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147059603453952).

112112212001010 is an abundant number, since it is smaller than the sum of its proper divisors (182006994906894).

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

112112212001010 is a wasteful number, since it uses less digits than its factorization.

112112212001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399528.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112112212001010 its reverse (10100212211211), we get a palindrome (122212424212221).

The spelling of 112112212001010 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twelve million, one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 335 390 402 670 871 1005 1742 2010 2613 4355 5226 8710 11047 13065 22094 26130 33141 55235 66282 110470 143611 165705 287222 331410 388391 430833 718055 740149 776782 861666 1165173 1436110 1480298 1941955 2154165 2220447 2330346 3700745 3883910 4308330 4440894 5049083 5825865 7401490 9621937 10098166 11102235 11651730 15147249 19243874 22204470 25245415 26022197 28865811 30294498 48109685 50490830 52044394 57731622 75736245 78066591 96219370 130110985 144329055 151472490 156133182 260221970 288658110 338288561 390332955 676577122 780665910 1014865683 1691442805 2029731366 3382885610 4290555377 5074328415 8581110754 10148656830 12871666131 21452776885 25743332262 42905553770 55777219901 64358330655 111554439802 128716661310 167331659703 278886099505 287467210259 334663319406 557772199010 574934420518 836658298515 862401630777 1437336051295 1673316597030 1724803261554 2874672102590 3737073733367 4312008153885 7474147466734 8624016307770 11211221200101 18685368666835 22422442400202 37370737333670 56056106000505 112112212001010