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23213310212000 = 2553171133020993
BaseRepresentation
bin1010100011100110001010…
…00110111111011110100000
310001012011121111112021221002
411101303011012333132200
511020311324403241000
6121212014131451132
74614051316121546
oct521630506773640
9101164544467832
1023213310212000
11743a789499217
12272aa8a756aa8
13cc500c86979c
145a375cc71d96
152a3c7132a8d5
hex151cc51bf7a0

23213310212000 has 192 divisors, whose sum is σ = 60924555173664. Its totient is φ = 8661788262400.

The previous prime is 23213310211991. The next prime is 23213310212063. The reversal of 23213310212000 is 21201331232.

It can be written as a sum of positive squares in 16 ways, for example, as 4319231132176 + 18894079079824 = 2078276^2 + 4346732^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6173504 + ... + 9194496.

Almost surely, 223213310212000 is an apocalyptic number.

23213310212000 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 23213310212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30462277586832).

23213310212000 is an abundant number, since it is smaller than the sum of its proper divisors (37711244961664).

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

23213310212000 is a wasteful number, since it uses less digits than its factorization.

23213310212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021148 (or 3021130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23213310212000 its reverse (21201331232), we get a palindrome (23234511543232).

The spelling of 23213310212000 in words is "twenty-three trillion, two hundred thirteen billion, three hundred ten million, two hundred twelve thousand".