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112002201220 = 225713353917389
BaseRepresentation
bin110100001001111011…
…0011111011010000100
3101201002121220100002211
41220103312133122010
53313340030414340
6123241511513204
711043343000540
oct1502366373204
9351077810084
10112002201220
1143555360568
1219859388804
13a73c265160
1455c7092a20
152da7c925ea
hex1a13d9f684

112002201220 has 96 divisors (see below), whose sum is σ = 289581062400. Its totient is φ = 35434796544.

The previous prime is 112002201197. The next prime is 112002201221. The reversal of 112002201220 is 22102200211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 112002201220.

It is not an unprimeable number, because it can be changed into a prime (112002201221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6432286 + ... + 6449674.

It is an arithmetic number, because the mean of its divisors is an integer number (3016469400).

Almost surely, 2112002201220 is an apocalyptic number.

112002201220 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 112002201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144790531200).

112002201220 is an abundant number, since it is smaller than the sum of its proper divisors (177578861180).

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

112002201220 is a wasteful number, since it uses less digits than its factorization.

112002201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20957 (or 20955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112002201220 its reverse (22102200211), we get a palindrome (134104401431).

The spelling of 112002201220 in words is "one hundred twelve billion, two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3539 7078 14156 17389 17695 24773 34778 35390 46007 49546 69556 70780 86945 92014 99092 121723 123865 173890 184028 226057 230035 243446 247730 322049 347780 452114 460070 486892 495460 608615 644098 904228 920140 1130285 1217230 1288196 1582399 1610245 2260570 2434460 3164798 3220490 4521140 6329596 6440980 7911995 15823990 31647980 61539671 123079342 246158684 307698355 430777697 615396710 800015723 861555394 1230793420 1600031446 1723110788 2153888485 3200062892 4000078615 4307776970 5600110061 8000157230 8615553940 11200220122 16000314460 22400440244 28000550305 56001100610 112002201220