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21122002200 = 23352139727917
BaseRepresentation
bin10011101010111110…
…000010110100011000
32000112000202212220210
4103222332002310120
5321224213032300
613411525451120
71345265025225
oct235276026430
960460685823
1021122002200
118a59901972
124115870aa0
131cb7c90170
14104531094c
158394eb050
hex4eaf82d18

21122002200 has 192 divisors, whose sum is σ = 71244502560. Its totient is φ = 5145477120.

The previous prime is 21122002193. The next prime is 21122002201. The reversal of 21122002200 is 220022112.

It is a super-2 number, since 2×211220022002 (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 (21122002201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 742642 + ... + 770558.

Almost surely, 221122002200 is an apocalyptic number.

21122002200 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 21122002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622251280).

21122002200 is an abundant number, since it is smaller than the sum of its proper divisors (50122500360).

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

21122002200 is a wasteful number, since it uses less digits than its factorization.

21122002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28046 (or 28037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21122002200 its reverse (220022112), we get a palindrome (21342024312).

The spelling of 21122002200 in words is "twenty-one billion, one hundred twenty-two million, two thousand, two hundred".