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23023122330200 = 23524773971133061
BaseRepresentation
bin1010011110000011111010…
…00001110011001001011000
310000111222200222110212011212
411033001331001303021120
511004202323304031300
6120544402033242252
74564236301603256
oct517017501631130
9100458628425155
1023023122330200
117377062386713
1226ba051103388
13cb00c0334515
14598479da75d6
1529dd3e500935
hex14f07d073258

23023122330200 has 384 divisors, whose sum is σ = 56501766155520. Its totient is φ = 8717480755200.

The previous prime is 23023122330199. The next prime is 23023122330211. The reversal of 23023122330200 is 203322132032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7521436670 + ... + 7521439730.

It is an arithmetic number, because the mean of its divisors is an integer number (147140016030).

Almost surely, 223023122330200 is an apocalyptic number.

23023122330200 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 23023122330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28250883077760).

23023122330200 is an abundant number, since it is smaller than the sum of its proper divisors (33478643825320).

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

23023122330200 is a wasteful number, since it uses less digits than its factorization.

23023122330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 23023122330200 its reverse (203322132032), we get a palindrome (23226444462232).

The spelling of 23023122330200 in words is "twenty-three trillion, twenty-three billion, one hundred twenty-two million, three hundred thirty thousand, two hundred".