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112200220020 = 223571181226201
BaseRepresentation
bin110100001111110100…
…1110111110101110100
3101201121102111201211110
41220133221313311310
53314241224020040
6123313304035020
711051266064040
oct1503751676564
9351542451743
10112200220020
114364710aa69
12198b3762a70
13a7712a7745
1456054bb020
152dba359980
hex1a1fa77d74

112200220020 has 96 divisors (see below), whose sum is σ = 359346306816. Its totient is φ = 25623936000.

The previous prime is 112200219991. The next prime is 112200220043. The reversal of 112200220020 is 20022002211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112200219978 and 112200220005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 382920 + ... + 609120.

It is an arithmetic number, because the mean of its divisors is an integer number (3743190696).

Almost surely, 2112200220020 is an apocalyptic number.

112200220020 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 112200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179673153408).

112200220020 is an abundant number, since it is smaller than the sum of its proper divisors (247146086796).

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

112200220020 is a wasteful number, since it uses less digits than its factorization.

112200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227401 (or 227399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 112200220020 its reverse (20022002211), we get a palindrome (132222222231).

The spelling of 112200220020 in words is "one hundred twelve billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1181 2362 3543 4724 5905 7086 8267 11810 14172 16534 17715 23620 24801 33068 35430 41335 49602 70860 82670 99204 124005 165340 226201 248010 452402 496020 678603 904804 1131005 1357206 1583407 2262010 2714412 3166814 3393015 4524020 4750221 6333628 6786030 7917035 9500442 13572060 15834070 19000884 23751105 31668140 47502210 95004420 267143381 534286762 801430143 1068573524 1335716905 1602860286 1870003667 2671433810 3205720572 3740007334 4007150715 5342867620 5610011001 7480014668 8014301430 9350018335 11220022002 16028602860 18700036670 22440044004 28050055005 37400073340 56100110010 112200220020