Search a number
-
+
3002813923101 = 35948613490033
BaseRepresentation
bin101011101100100101101…
…010000011111100011101
3101122001210021011101021020
4223230211222003330131
5343144230331014401
610215250151354353
7426642346131366
oct53544552037435
911561707141236
103002813923101
11a585391a3863
12405b703829b9
1318a2197c3565
14a54a0902b6d
155319b7cdd36
hex2bb25a83f1d

3002813923101 has 16 divisors (see below), whose sum is σ = 4072450873920. Its totient is φ = 1967540440320.

The previous prime is 3002813923073. The next prime is 3002813923141. The reversal of 3002813923101 is 1013293182003.

It is not a de Polignac number, because 3002813923101 - 210 = 3002813922077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002813923141) 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 15 ways as a sum of consecutive naturals, for example, 884620 + ... + 2605413.

It is an arithmetic number, because the mean of its divisors is an integer number (254528179620).

Almost surely, 23002813923101 is an apocalyptic number.

It is an amenable number.

3002813923101 is a deficient number, since it is larger than the sum of its proper divisors (1069636950819).

3002813923101 is a wasteful number, since it uses less digits than its factorization.

3002813923101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494956.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 3002813923101 in words is "three trillion, two billion, eight hundred thirteen million, nine hundred twenty-three thousand, one hundred one".

Divisors: 1 3 59 177 4861 14583 286799 860397 3490033 10470099 205911947 617735841 16965050413 50895151239 1000937974367 3002813923101