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112200200022020 = 225114878819118747
BaseRepresentation
bin11001100000101110100101…
…000100001110100000000100
3112201021020022212001111012112
4121200232211010032200010
5104201242002201201040
61034344021010040152
732430124360240325
oct3140564504164004
9481236285044175
10112200200022020
113282892394a730
1210701197b79058
134a7b583419006
141d9c73929c44c
15ce88b84c5365
hex660ba510e804

112200200022020 has 96 divisors (see below), whose sum is σ = 257599637406720. Its totient is φ = 40711334624640.

The previous prime is 112200200022019. The next prime is 112200200022047. The reversal of 112200200022020 is 20220002002211.

It is a junction number, because it is equal to n+sod(n) for n = 112200200021986 and 112200200022004.

It is an unprimeable number.

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, 944808287 + ... + 944927033.

It is an arithmetic number, because the mean of its divisors is an integer number (2683329556320).

Almost surely, 2112200200022020 is an apocalyptic number.

112200200022020 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 112200200022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128799818703360).

112200200022020 is an abundant number, since it is smaller than the sum of its proper divisors (145399437384700).

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

112200200022020 is a wasteful number, since it uses less digits than its factorization.

112200200022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128073 (or 128071 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 112200200022020 its reverse (20220002002211), we get a palindrome (132420202024231).

The spelling of 112200200022020 in words is "one hundred twelve trillion, two hundred billion, two hundred million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 487 974 1948 2435 4870 5357 8819 9740 10714 17638 21428 26785 35276 44095 53570 88190 97009 107140 118747 176380 194018 237494 388036 474988 485045 593735 970090 1187470 1306217 1940180 2374940 2612434 4294853 5224868 6531085 8589706 13062170 17179412 21474265 26124340 42948530 47243383 57829789 85897060 94486766 115659578 188973532 231319156 236216915 289148945 472433830 578297890 636127679 944867660 1047229793 1156595780 1272255358 2094459586 2544510716 3180638395 4188919172 5236148965 6361276790 10472297930 11519527723 12722553580 20944595860 23039055446 46078110892 57597638615 115195277230 230390554460 510000909191 1020001818382 2040003636764 2550004545955 5100009091910 5610010001101 10200018183820 11220020002202 22440040004404 28050050005505 56100100011010 112200200022020