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101113023200 = 25527236711717
BaseRepresentation
bin101111000101011001…
…1100100101011100000
3100122222201222210001012
41132022303210223200
53124034413220300
6114241203000052
710206450342050
oct1361263445340
9318881883035
10101113023200
1139977735992
121771a669028
1396c52a0057
144c72bcd560
15296bce4435
hex178ace4ae0

101113023200 has 288 divisors, whose sum is σ = 298789876224. Its totient is φ = 32662333440.

The previous prime is 101113023157. The next prime is 101113023203. The reversal of 101113023200 is 2320311101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113023203) 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, 8623742 + ... + 8635458.

It is an arithmetic number, because the mean of its divisors is an integer number (1037464848).

Almost surely, 2101113023200 is an apocalyptic number.

101113023200 is a gapful number since it is divisible by the number (10) 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 101113023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149394938112).

101113023200 is an abundant number, since it is smaller than the sum of its proper divisors (197676853024).

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

101113023200 is a wasteful number, since it uses less digits than its factorization.

101113023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101113023200 its reverse (2320311101), we get a palindrome (103433334301).

The spelling of 101113023200 in words is "one hundred one billion, one hundred thirteen million, twenty-three thousand, two hundred".