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23123113033200 = 243521789101126097
BaseRepresentation
bin1010100000111110001001…
…11100000011110111110000
310000212112210111121212100020
411100133010330003313300
511012322113414030300
6121102340025123440
74604406203550645
oct520370474036760
9100775714555306
1023123113033200
117405503541844
1227154b7929580
13cb9666c3a37b
1459d243ac7dcc
152a1742a008a0
hex1507c4f03df0

23123113033200 has 480 divisors, whose sum is σ = 80095250450880. Its totient is φ = 5681381376000.

The previous prime is 23123113033193. The next prime is 23123113033201. The reversal of 23123113033200 is 233031132132.

It is a super-2 number, since 2×231231130332002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123113033201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183312552 + ... + 183438648.

It is an arithmetic number, because the mean of its divisors is an integer number (166865105106).

Almost surely, 223123113033200 is an apocalyptic number.

23123113033200 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 23123113033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40047625225440).

23123113033200 is an abundant number, since it is smaller than the sum of its proper divisors (56972137417680).

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

23123113033200 is a wasteful number, since it uses less digits than its factorization.

23123113033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126325 (or 126314 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23123113033200 its reverse (233031132132), we get a palindrome (23356144165332).

The spelling of 23123113033200 in words is "twenty-three trillion, one hundred twenty-three billion, one hundred thirteen million, thirty-three thousand, two hundred".