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22002210122112 = 27321116671041563
BaseRepresentation
bin1010000000010110010011…
…11010110010100110000000
32212220101112212001012012100
411000023021322302212000
510340441011242401422
6114443401545430400
74430415164164443
oct500131172624600
985811485035170
1022002210122112
1170130a3021320
12257421379b400
13c37a516b1a6c
14560cac46165a
152824dbdce7ac
hex1402c9eb2980

22002210122112 has 192 divisors, whose sum is σ = 69110937754560. Its totient is φ = 6663330401280.

The previous prime is 22002210122041. The next prime is 22002210122147. The reversal of 22002210122112 is 21122101220022.

It is a happy number.

22002210122112 is a `hidden beast` number, since 220 + 0 + 2 + 210 + 1 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20603443 + ... + 21645005.

It is an arithmetic number, because the mean of its divisors is an integer number (359952800805).

Almost surely, 222002210122112 is an apocalyptic number.

22002210122112 is a gapful number since it is divisible by the number (22) 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 22002210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34555468877280).

22002210122112 is an abundant number, since it is smaller than the sum of its proper divisors (47108727632448).

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

22002210122112 is a wasteful number, since it uses less digits than its factorization.

22002210122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043261 (or 1043246 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22002210122112 its reverse (21122101220022), we get a palindrome (43124311342134).

The spelling of 22002210122112 in words is "twenty-two trillion, two billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".