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21022033120 = 25511232512069
BaseRepresentation
bin10011100101000000…
…101100010011100000
32000021001122221010021
4103211000230103200
5321023120024440
613353555043224
71342642222204
oct234500542340
960231587107
1021022033120
118a084316a0
1240a82a0514
131ca035a76a
141035d2ab04
1583085084a
hex4e502c4e0

21022033120 has 192 divisors, whose sum is σ = 56787816960. Its totient is φ = 7279360000.

The previous prime is 21022033099. The next prime is 21022033139. The reversal of 21022033120 is 2133022012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21022033094 and 21022033103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10159446 + ... + 10161514.

It is an arithmetic number, because the mean of its divisors is an integer number (295769880).

Almost surely, 221022033120 is an apocalyptic number.

21022033120 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 21022033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28393908480).

21022033120 is an abundant number, since it is smaller than the sum of its proper divisors (35765783840).

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

21022033120 is a wasteful number, since it uses less digits than its factorization.

21022033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21022033120 its reverse (2133022012), we get a palindrome (23155055132).

The spelling of 21022033120 in words is "twenty-one billion, twenty-two million, thirty-three thousand, one hundred twenty".