Search a number
-
+
100320202203012 = 223511131317225943
BaseRepresentation
bin10110110011110110011110…
…000001000001111110000100
3111011012111222101020210200000
4112303312132001001332010
5101122121233230444022
6553210244211121300
730062616063022641
oct2663663601017604
9434174871223600
10100320202203012
1129a6861688a620
12b3028888a3230
1343c92014c841c
141aab749032dc8
15b8e85a83b6ac
hex5b3d9e041f84

100320202203012 has 288 divisors, whose sum is σ = 289989674118144. Its totient is φ = 30072699446400.

The previous prime is 100320202202999. The next prime is 100320202203019. The reversal of 100320202203012 is 210302202023001.

100320202203012 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 20 + 2 + 20 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100320202203019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 443893713 + ... + 444119655.

It is an arithmetic number, because the mean of its divisors is an integer number (1006908590688).

Almost surely, 2100320202203012 is an apocalyptic number.

100320202203012 is a gapful number since it is divisible by the number (12) 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 100320202203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144994837059072).

100320202203012 is an abundant number, since it is smaller than the sum of its proper divisors (189669471915132).

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

100320202203012 is a wasteful number, since it uses less digits than its factorization.

100320202203012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226421 (or 226407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100320202203012 its reverse (210302202023001), we get a palindrome (310622404226013).

The spelling of 100320202203012 in words is "one hundred trillion, three hundred twenty billion, two hundred two million, two hundred three thousand, twelve".