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212220110112 = 25335919733121
BaseRepresentation
bin1100010110100101001…
…1011110010100100000
3202021202222120121011020
43011221103132110200
511434111322010422
6241254221245440
721222004113123
oct3055123362440
9667688517136
10212220110112
11820027a085a
1235168103880
1317020c5c56a
14a3b30383ba
1557c11c295c
hex31694de520

212220110112 has 96 divisors (see below), whose sum is σ = 559091756160. Its totient is φ = 70484643840.

The previous prime is 212220110051. The next prime is 212220110117. The reversal of 212220110112 is 211011022212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212220110091 and 212220110100.

It is not an unprimeable number, because it can be changed into a prime (212220110117) 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 15 ways as a sum of consecutive naturals, for example, 67995912 + ... + 67999032.

It is an arithmetic number, because the mean of its divisors is an integer number (5823872460).

Almost surely, 2212220110112 is an apocalyptic number.

It is an amenable number.

212220110112 is an abundant number, since it is smaller than the sum of its proper divisors (346871646048).

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

212220110112 is a wasteful number, since it uses less digits than its factorization.

212220110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212220110112 its reverse (211011022212), we get a palindrome (423231132324).

The spelling of 212220110112 in words is "two hundred twelve billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 718 1077 1436 1973 2154 2872 3121 3946 4308 5744 5919 6242 7892 8616 9363 11488 11838 12484 15784 17232 18726 23676 24968 31568 34464 37452 47352 49936 63136 74904 94704 99872 149808 189408 299616 708307 1120439 1416614 2124921 2240878 2833228 3361317 4249842 4481756 5666456 6157733 6722634 8499684 8963512 11332912 12315466 13445268 16999368 17927024 18473199 22665824 24630932 26890536 33998736 35854048 36946398 49261864 53781072 67997472 73892796 98523728 107562144 147785592 197047456 295571184 591142368 2210626147 4421252294 6631878441 8842504588 13263756882 17685009176 26527513764 35370018352 53055027528 70740036704 106110055056 212220110112