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23023122103200 = 2535261974316141
BaseRepresentation
bin1010011110000011111010…
…00000111011101110100000
310000111222200222001022210110
411033001331000323232200
511004202323224300300
6120544402024331320
74564236266636412
oct517017500735640
9100458628038713
1023023122103200
11737706224110a
1226ba051013b40
13cb00c02850bb
14598479d489b2
1529dd3e4a8550
hex14f07d03bba0

23023122103200 has 288 divisors, whose sum is σ = 76181328582912. Its totient is φ = 6037857792000.

The previous prime is 23023122103141. The next prime is 23023122103207. The reversal of 23023122103200 is 230122132032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23023122103207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1426367130 + ... + 1426383270.

It is an arithmetic number, because the mean of its divisors is an integer number (264518502024).

Almost surely, 223023122103200 is an apocalyptic number.

23023122103200 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 23023122103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38090664291456).

23023122103200 is an abundant number, since it is smaller than the sum of its proper divisors (53158206479712).

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

23023122103200 is a wasteful number, since it uses less digits than its factorization.

23023122103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25968 (or 25955 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23023122103200 its reverse (230122132032), we get a palindrome (23253244235232).

The spelling of 23023122103200 in words is "twenty-three trillion, twenty-three billion, one hundred twenty-two million, one hundred three thousand, two hundred".