Search a number
-
+
23212121000000 = 2656113205417
BaseRepresentation
bin1010100011100011111100…
…01110100000100001000000
310001012001112121211001202012
411101301332032200201000
511020301410434000000
6121211300130512052
74614006666024302
oct521617616404100
9101161477731665
1023212121000000
11743a229190689
12272a7b8435628
13cc4b8038174a
145a3688d4d972
152a3c01c21735
hex151c7e3a0840

23212121000000 has 196 divisors, whose sum is σ = 58086010473924. Its totient is φ = 9202636800000.

The previous prime is 23212120999997. The next prime is 23212121000023. The reversal of 23212121000000 is 12121232.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 16635891578944 + 6576229421056 = 4078712^2 + 2564416^2 .

It is a super-2 number, since 2×232121210000002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 112897292 + ... + 113102708.

Almost surely, 223212121000000 is an apocalyptic number.

23212121000000 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 23212121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29043005236962).

23212121000000 is an abundant number, since it is smaller than the sum of its proper divisors (34873889473924).

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

23212121000000 is an frugal number, since it uses more digits than its factorization.

23212121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205572 (or 205537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 23212121000000 its reverse (12121232), we get a palindrome (23212133121232).

The spelling of 23212121000000 in words is "twenty-three trillion, two hundred twelve billion, one hundred twenty-one million", and thus it is an aban number.