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20112132300 = 223521321732293
BaseRepresentation
bin10010101110110001…
…101100100011001100
31220220122112011211220
4102232301230203030
5312142201213200
613123412443340
71311253206141
oct225661544314
956818464756
1020112132300
118590857747
123a93619550
131b869a8700
14d8b1543c8
157caa1a4a0
hex4aec6c8cc

20112132300 has 216 divisors, whose sum is σ = 63403535664. Its totient is φ = 4919915520.

The previous prime is 20112132289. The next prime is 20112132311. The reversal of 20112132300 is 323121102.

It is an interprime number because it is at equal distance from previous prime (20112132289) and next prime (20112132311).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20112132300.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8769954 + ... + 8772246.

Almost surely, 220112132300 is an apocalyptic number.

20112132300 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 20112132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701767832).

20112132300 is an abundant number, since it is smaller than the sum of its proper divisors (43291403364).

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

20112132300 is a wasteful number, since it uses less digits than its factorization.

20112132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20112132300 its reverse (323121102), we get a palindrome (20435253402).

The spelling of 20112132300 in words is "twenty billion, one hundred twelve million, one hundred thirty-two thousand, three hundred".