Search a number
-
+
3023023103100 = 2232527111318118539
BaseRepresentation
bin101011111111011010001…
…101111101110001111100
3101200222221200022002112100
4223333122031331301330
5344012122403244400
610232431352305100
7431256221255460
oct53773215756174
911628850262470
103023023103100
11a66069805910
12409a703a2190
1318c0ba61aa30
14a645a8ba4a0
1553980ab9100
hex2bfda37dc7c

3023023103100 has 864 divisors, whose sum is σ = 12793326174720. Its totient is φ = 576605952000.

The previous prime is 3023023103057. The next prime is 3023023103117. The reversal of 3023023103100 is 13013203203.

3023023103100 is a `hidden beast` number, since 302 + 30 + 23 + 1 + 0 + 310 + 0 = 666.

It is a super-2 number, since 2×30230231031002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 163053631 + ... + 163072169.

It is an arithmetic number, because the mean of its divisors is an integer number (14807090480).

Almost surely, 23023023103100 is an apocalyptic number.

3023023103100 is a gapful number since it is divisible by the number (30) 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 3023023103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396663087360).

3023023103100 is an abundant number, since it is smaller than the sum of its proper divisors (9770303071620).

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

3023023103100 is a wasteful number, since it uses less digits than its factorization.

3023023103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18761 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3023023103100 its reverse (13013203203), we get a palindrome (3036036306303).

The spelling of 3023023103100 in words is "three trillion, twenty-three billion, twenty-three million, one hundred three thousand, one hundred".