Search a number
-
+
23101122200200 = 23521123641712237
BaseRepresentation
bin1010100000010101001100…
…01011101100001010001000
310000210110000220222210121221
411100022212023230022020
511011442044240401300
6121044301541211424
74603000225552132
oct520124613541210
9100713026883557
1023101122200200
1173a71492674a0
12271119b100b74
13cb7570c77a55
1459c159252052
152a0da70d331a
hex1502a62ec288

23101122200200 has 192 divisors, whose sum is σ = 61235830120320. Its totient is φ = 8022626304000.

The previous prime is 23101122200197. The next prime is 23101122200201. The reversal of 23101122200200 is 200222110132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23101122200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32078482 + ... + 32790718.

It is an arithmetic number, because the mean of its divisors is an integer number (318936615210).

Almost surely, 223101122200200 is an apocalyptic number.

23101122200200 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 23101122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30617915060160).

23101122200200 is an abundant number, since it is smaller than the sum of its proper divisors (38134707920120).

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

23101122200200 is a wasteful number, since it uses less digits than its factorization.

23101122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712928 (or 712919 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23101122200200 its reverse (200222110132), we get a palindrome (23301344310332).

The spelling of 23101122200200 in words is "twenty-three trillion, one hundred one billion, one hundred twenty-two million, two hundred thousand, two hundred".