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211100212200020 = 225111373811263007
BaseRepresentation
bin101111111111111010011001…
…001010010000001001010100
31000200102222112202012221211112
4233333322121022100021110
5210132131213310400040
62024550033152154152
762315326023245453
oct5777723112201124
91020388482187745
10211100212200020
1161299108463380
121b814775b38958
1390a388415b9c0
143a1b43a496b9a
1519613033ec365
hexbffe99290254

211100212200020 has 48 divisors (see below), whose sum is σ = 520812271784448. Its totient is φ = 70858812485760.

The previous prime is 211100212200013. The next prime is 211100212200023. The reversal of 211100212200020 is 20002212001112.

It is a junction number, because it is equal to n+sod(n) for n = 211100212199968 and 211100212200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100212200023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36905628644 + ... + 36905634363.

It is an arithmetic number, because the mean of its divisors is an integer number (10850255662176).

Almost surely, 2211100212200020 is an apocalyptic number.

211100212200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100212200020 is an abundant number, since it is smaller than the sum of its proper divisors (309712059584428).

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

211100212200020 is a wasteful number, since it uses less digits than its factorization.

211100212200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73811263040 (or 73811263038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211100212200020 its reverse (20002212001112), we get a palindrome (231102424201132).

The spelling of 211100212200020 in words is "two hundred eleven trillion, one hundred billion, two hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 73811263007 147622526014 295245052028 369056315035 738112630070 811923893077 959546419091 1476225260140 1623847786154 1919092838182 3247695572308 3838185676364 4059619465385 4797732095455 8119238930770 9595464190910 10555010610001 16238477861540 19190928381820 21110021220002 42220042440004 52775053050005 105550106100010 211100212200020