Search a number
-
+
2300102100231 = 3132174367211439
BaseRepresentation
bin100001011110001000110…
…001001100010100000111
322010212222001220002220020
4201132020301030110013
5300141102114201411
64520352522310223
7325114450160625
oct41361061142407
98125861802806
102300102100231
11807516743541
12311937658373
13138b8b590700
147d47b3ac515
153ec6e608606
hex21788c4c507

2300102100231 has 192 divisors, whose sum is σ = 3677339381760. Its totient is φ = 1272803051520.

The previous prime is 2300102100229. The next prime is 2300102100281. The reversal of 2300102100231 is 1320012010032.

It is not a de Polignac number, because 2300102100231 - 21 = 2300102100229 is a prime.

It is a super-2 number, since 2×23001021002312 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2300102100231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300102100281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5239412310 + ... + 5239412748.

It is an arithmetic number, because the mean of its divisors is an integer number (19152809280).

Almost surely, 22300102100231 is an apocalyptic number.

2300102100231 is a deficient number, since it is larger than the sum of its proper divisors (1377237281529).

2300102100231 is a wasteful number, since it uses less digits than its factorization.

2300102100231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2300102100231 its reverse (1320012010032), we get a palindrome (3620114110263).

The spelling of 2300102100231 in words is "two trillion, three hundred billion, one hundred two million, one hundred thousand, two hundred thirty-one".