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112111012100120 = 235112324113459427
BaseRepresentation
bin11001011111011011100001…
…000011010011100000011000
3112200221201010012020121210212
4121133123201003103200120
5104143311323044200440
61034235030555230252
732420516251353365
oct3137334103234030
9480851105217725
10112111012100120
11327a4016669970
12106a7a47148388
134a7303b918327
141d982b819146c
15ce63e85a9465
hex65f6e10d3818

112111012100120 has 128 divisors (see below), whose sum is σ = 287158524848640. Its totient is φ = 38993432586240.

The previous prime is 112111012100119. The next prime is 112111012100249. The reversal of 112111012100120 is 21001210111211.

It is a super-2 number, since 2×1121110121001202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112111012100095 and 112111012100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243793847 + ... + 244253273.

It is an arithmetic number, because the mean of its divisors is an integer number (2243425975380).

Almost surely, 2112111012100120 is an apocalyptic number.

112111012100120 is a gapful number since it is divisible by the number (10) 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 112111012100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143579262424320).

112111012100120 is an abundant number, since it is smaller than the sum of its proper divisors (175047512748520).

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

112111012100120 is a wasteful number, since it uses less digits than its factorization.

112111012100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483585 (or 483581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112111012100120 its reverse (21001210111211), we get a palindrome (133112222211331).

The spelling of 112111012100120 in words is "one hundred twelve trillion, one hundred eleven billion, twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 24113 48226 96452 120565 192904 241130 265243 459427 482260 530486 554599 918854 964520 1060972 1109198 1326215 1837708 2121944 2218396 2297135 2652430 2772995 3675416 4436792 4594270 5053697 5304860 5545990 6100589 9188540 10107394 10566821 10609720 11091980 12201178 18377080 20214788 21133642 22183960 24402356 25268485 30502945 40429576 42267284 48804712 50536970 52834105 61005890 84534568 101073940 105668210 116235031 122011780 202147880 211336420 232470062 244023560 422672840 464940124 581175155 929880248 1162350310 2324700620 4649401240 11078163251 22156326502 44312653004 55390816255 88625306008 110781632510 121859795761 221563265020 243719591522 254797754773 443126530040 487439183044 509595509546 609298978805 974878366088 1019191019092 1218597957610 1273988773865 2038382038184 2437195915220 2547977547730 2802775302503 4874391830440 5095955095460 5605550605006 10191910190920 11211101210012 14013876512515 22422202420024 28027753025030 56055506050060 112111012100120