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211022404220112 = 2437333015995219
BaseRepresentation
bin101111111110110001111011…
…011100010111010011010000
31000200011112201011210001002220
4233332301323130113103100
5210124342340440020422
62024450204301141040
762306602616316132
oct5776617334272320
91020145634701086
10211022404220112
116126910a926451
121b80168025a780
1390994341c32c4
143a177788bd052
15195e29c5c0e5c
hexbfec7b7174d0

211022404220112 has 40 divisors (see below), whose sum is σ = 545142045238560. Its totient is φ = 70340693750400.

The previous prime is 211022404220071. The next prime is 211022404220119.

211022404220112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211022404220119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32200839 + ... + 38196057.

It is an arithmetic number, because the mean of its divisors is an integer number (13628551130964).

Almost surely, 2211022404220112 is an apocalyptic number.

It is an amenable number.

211022404220112 is an abundant number, since it is smaller than the sum of its proper divisors (334119641018448).

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

211022404220112 is a wasteful number, since it uses less digits than its factorization.

211022404220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728531 (or 6728525 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 21102240 and 4220112, that added together give a palindrome (25322352).

The spelling of 211022404220112 in words is "two hundred eleven trillion, twenty-two billion, four hundred four million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 733301 1466602 2199903 2933204 4399806 5866408 5995219 8799612 11732816 11990438 17599224 17985657 23980876 35198448 35971314 47961752 71942628 95923504 143885256 287770512 4396300087919 8792600175838 13188900263757 17585200351676 26377800527514 35170400703352 52755601055028 70340801406704 105511202110056 211022404220112