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21101223000 = 233531113101487
BaseRepresentation
bin10011101001101110…
…110001110001011000
32000110120200012012210
4103221232301301120
5321203403114000
613405504235120
71344623302404
oct235156616130
960416605183
1021101223000
118a490aa180
12410a90baa0
131cb3896190
141042662104
15837794350
hex4e9bb1c58

21101223000 has 512 divisors, whose sum is σ = 78271764480. Its totient is φ = 4665600000.

The previous prime is 21101222983. The next prime is 21101223001. The reversal of 21101223000 is 32210112.

It is a super-2 number, since 2×211012230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101223001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43328757 + ... + 43329243.

It is an arithmetic number, because the mean of its divisors is an integer number (152874540).

Almost surely, 221101223000 is an apocalyptic number.

21101223000 is a gapful number since it is divisible by the number (20) 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 21101223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39135882240).

21101223000 is an abundant number, since it is smaller than the sum of its proper divisors (57170541480).

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

21101223000 is a wasteful number, since it uses less digits than its factorization.

21101223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21101223000 its reverse (32210112), we get a palindrome (21133433112).

The spelling of 21101223000 in words is "twenty-one billion, one hundred one million, two hundred twenty-three thousand".