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21114202032 = 24327112382793
BaseRepresentation
bin10011101010100000…
…010010011110110000
32000111111002121002200
4103222200102132300
5321220213431112
613411050343200
71345141520220
oct235240223660
960444077080
1021114202032
118a55464550
12411312ab00
131cb648b991
141044280080
158389a9cdc
hex4ea8127b0

21114202032 has 240 divisors, whose sum is σ = 76875222528. Its totient is φ = 5245701120.

The previous prime is 21114202019. The next prime is 21114202073. The reversal of 21114202032 is 23020241112.

It is a happy number.

21114202032 is a `hidden beast` number, since 211 + 1 + 420 + 2 + 0 + 32 = 666.

It is a super-2 number, since 2×211142020322 (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 a junction number, because it is equal to n+sod(n) for n = 21114201996 and 21114202014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213628 + ... + 296420.

Almost surely, 221114202032 is an apocalyptic number.

21114202032 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 21114202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38437611264).

21114202032 is an abundant number, since it is smaller than the sum of its proper divisors (55761020496).

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

21114202032 is a wasteful number, since it uses less digits than its factorization.

21114202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82848 (or 82839 counting only the distinct ones).

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

Adding to 21114202032 its reverse (23020241112), we get a palindrome (44134443144).

The spelling of 21114202032 in words is "twenty-one billion, one hundred fourteen million, two hundred two thousand, thirty-two".