Search a number
-
+
23003303000100 = 223521923712471321
BaseRepresentation
bin1010011101011110111111…
…01101000011100000100100
310000110002112201220120102220
411032233133231003200210
511003341231032000400
6120531323240232340
74562635202224623
oct516573755034044
9100402481816386
1023003303000100
117369711937665
1226b623b76b6b0
13cab282206667
14597519ab16ba
1529d57e5717a0
hex14ebdfb43824

23003303000100 has 288 divisors, whose sum is σ = 74134915061760. Its totient is φ = 5480399232000.

The previous prime is 23003303000063. The next prime is 23003303000101. The reversal of 23003303000100 is 100030330032.

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 23003303000100.

It is not an unprimeable number, because it can be changed into a prime (23003303000101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8072440 + ... + 10543760.

It is an arithmetic number, because the mean of its divisors is an integer number (257412899520).

Almost surely, 223003303000100 is an apocalyptic number.

23003303000100 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 23003303000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37067457530880).

23003303000100 is an abundant number, since it is smaller than the sum of its proper divisors (51131612061660).

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

23003303000100 is a wasteful number, since it uses less digits than its factorization.

23003303000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471451 (or 2471444 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 23003303000100 its reverse (100030330032), we get a palindrome (23103333330132).

The spelling of 23003303000100 in words is "twenty-three trillion, three billion, three hundred three million, one hundred", and thus it is an aban number.