Search a number
-
+
146204110311 = 3717409535323
BaseRepresentation
bin1000100000101001110…
…0011010110111100111
3111222101012211100010120
42020022130122313213
54343411223012221
6151055405253023
713364034301320
oct2101234326747
9458335740116
10146204110311
1157006455036
1224403564173
1310a30023b9c
14710d5ad447
153c0a7265c6
hex220a71ade7

146204110311 has 16 divisors (see below), whose sum is σ = 235892346624. Its totient is φ = 78630781824.

The previous prime is 146204110279. The next prime is 146204110331. The reversal of 146204110311 is 113011402641.

It is a happy number.

146204110311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146204110311 - 25 = 146204110279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146204110331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204767305 + ... + 204768018.

It is an arithmetic number, because the mean of its divisors is an integer number (14743271664).

Almost surely, 2146204110311 is an apocalyptic number.

146204110311 is a deficient number, since it is larger than the sum of its proper divisors (89688236313).

146204110311 is a wasteful number, since it uses less digits than its factorization.

146204110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409535350.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 146204110311 its reverse (113011402641), we get a palindrome (259215512952).

The spelling of 146204110311 in words is "one hundred forty-six billion, two hundred four million, one hundred ten thousand, three hundred eleven".

Divisors: 1 3 7 17 21 51 119 357 409535323 1228605969 2866747261 6962100491 8600241783 20886301473 48734703437 146204110311