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23123220000 = 253541792153
BaseRepresentation
bin10101100010010000…
…000101011000100000
32012200111102021122120
4111202100011120200
5334324021020000
614342254504240
71446005061366
oct254220053040
965614367576
1023123220000
119896500481
124593b05080
1322467728ca
141195005636
1590504e6a0
hex562405620

23123220000 has 240 divisors, whose sum is σ = 76307948640. Its totient is φ = 6128896000.

The previous prime is 23123219981. The next prime is 23123220019. The reversal of 23123220000 is 2232132.

It is an interprime number because it is at equal distance from previous prime (23123219981) and next prime (23123220019).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10738924 + ... + 10741076.

It is an arithmetic number, because the mean of its divisors is an integer number (317949786).

Almost surely, 223123220000 is an apocalyptic number.

23123220000 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 23123220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38153974320).

23123220000 is an abundant number, since it is smaller than the sum of its proper divisors (53184728640).

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

23123220000 is a wasteful number, since it uses less digits than its factorization.

23123220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23123220000 its reverse (2232132), we get a palindrome (23125452132).

The spelling of 23123220000 in words is "twenty-three billion, one hundred twenty-three million, two hundred twenty thousand".