Search a number
-
+
20100320100 = 2234527714993
BaseRepresentation
bin10010101110000100…
…101000101101100100
31220212211022001120000
4102232010220231210
5312131140220400
613122311341300
71311050621220
oct225604505544
956784261500
1020100320100
118585119aa3
123a8b681830
131b84401043
14d8975b780
157c9985600
hex4ae128b64

20100320100 has 360 divisors, whose sum is σ = 75529415808. Its totient is φ = 4528742400.

The previous prime is 20100320083. The next prime is 20100320101. The reversal of 20100320100 is 102300102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20100320101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4023204 + ... + 4028196.

Almost surely, 220100320100 is an apocalyptic number.

20100320100 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 20100320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37764707904).

20100320100 is an abundant number, since it is smaller than the sum of its proper divisors (55429095708).

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

20100320100 is a wasteful number, since it uses less digits than its factorization.

20100320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20100320100 its reverse (102300102), we get a palindrome (20202620202).

The spelling of 20100320100 in words is "twenty billion, one hundred million, three hundred twenty thousand, one hundred".