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112032322220 = 225713149413129
BaseRepresentation
bin110100001010110100…
…1011001001010101100
3101201011201120122100102
41220111221121022230
53313420233302340
6123244505250232
711044160012060
oct1502551311254
9351151518312
10112032322220
1143570363955
1219867493978
13a745580230
1455cb093aa0
152daa742215
hex1a15a592ac

112032322220 has 96 divisors (see below), whose sum is σ = 291504528000. Its totient is φ = 35218335744.

The previous prime is 112032322189. The next prime is 112032322229. The reversal of 112032322220 is 22223230211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112032322192 and 112032322201.

It is not an unprimeable number, because it can be changed into a prime (112032322229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64616 + ... + 477744.

It is an arithmetic number, because the mean of its divisors is an integer number (3036505500).

Almost surely, 2112032322220 is an apocalyptic number.

112032322220 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 112032322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145752264000).

112032322220 is an abundant number, since it is smaller than the sum of its proper divisors (179472205780).

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

112032322220 is a wasteful number, since it uses less digits than its factorization.

112032322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413307 (or 413305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 112032322220 its reverse (22223230211), we get a palindrome (134255552431).

The spelling of 112032322220 in words is "one hundred twelve billion, thirty-two million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 149 182 260 298 364 455 596 745 910 1043 1490 1820 1937 2086 2980 3874 4172 5215 7748 9685 10430 13559 19370 20860 27118 38740 54236 67795 135590 271180 413129 826258 1652516 2065645 2891903 4131290 5370677 5783806 8262580 10741354 11567612 14459515 21482708 26853385 28919030 37594739 53706770 57838060 61556221 75189478 107413540 123112442 150378956 187973695 246224884 307781105 375947390 430893547 615562210 751894780 800230873 861787094 1231124420 1600461746 1723574188 2154467735 3200923492 4001154365 4308935470 5601616111 8002308730 8617870940 11203232222 16004617460 22406464444 28008080555 56016161110 112032322220