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21122023104 = 2633721331619
BaseRepresentation
bin10011101010111110…
…000111111011000000
32000112000210221121000
4103222332013323000
5321224214214404
613411530132000
71345265143200
oct235276077300
960460727530
1021122023104
118a59916646
124115881000
131cb7c99830
141045318400
15839502339
hex4eaf87ec0

21122023104 has 672 divisors, whose sum is σ = 80428185600. Its totient is φ = 5382236160.

The previous prime is 21122023081. The next prime is 21122023123. The reversal of 21122023104 is 40132022112.

It is a happy number.

21122023104 is a `hidden beast` number, since 211 + 220 + 231 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×211220231042 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34122507 + ... + 34123125.

It is an arithmetic number, because the mean of its divisors is an integer number (119684800).

Almost surely, 221122023104 is an apocalyptic number.

21122023104 is a gapful number since it is divisible by the number (24) 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 21122023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40214092800).

21122023104 is an abundant number, since it is smaller than the sum of its proper divisors (59306162496).

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

21122023104 is a wasteful number, since it uses less digits than its factorization.

21122023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21122023104 its reverse (40132022112), we get a palindrome (61254045216).

The spelling of 21122023104 in words is "twenty-one billion, one hundred twenty-two million, twenty-three thousand, one hundred four".