Search a number
-
+
2320011033300 = 2232523728921157
BaseRepresentation
bin100001110000101011011…
…011101111101011010100
322012210100120001200210200
4201300223123233223110
5301002340311031200
64533444240020500
7326421015256362
oct41605333575324
98183316050720
102320011033300
11814a02822634
12315773001730
1313aa1213188c
148040954a632
1540537386800
hex21c2b6efad4

2320011033300 has 324 divisors, whose sum is σ = 7558129100340. Its totient is φ = 595157207040.

The previous prime is 2320011033287. The next prime is 2320011033331. The reversal of 2320011033300 is 33301100232.

2320011033300 is a `hidden beast` number, since 2 + 320 + 0 + 1 + 10 + 3 + 330 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 1530752919696 + 789258113604 = 1237236^2 + 888402^2 .

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

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 109646322 + ... + 109667478.

Almost surely, 22320011033300 is an apocalyptic number.

2320011033300 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 2320011033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779064550170).

2320011033300 is an abundant number, since it is smaller than the sum of its proper divisors (5238118067040).

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

2320011033300 is a wasteful number, since it uses less digits than its factorization.

2320011033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21340 (or 21293 counting only the distinct ones).

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

Adding to 2320011033300 its reverse (33301100232), we get a palindrome (2353312133532).

The spelling of 2320011033300 in words is "two trillion, three hundred twenty billion, eleven million, thirty-three thousand, three hundred".