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2313411101 = 192411491049
BaseRepresentation
bin1000100111100011…
…1101101000011101
312222020002110102122
42021320331220131
514214213123401
61021320232325
7111220445531
oct21170755035
95866073378
102313411101
11a87951001
1254690b6a5
132ab38c511
1417d35dbc1
15d817021b
hex89e3da1d

2313411101 has 24 divisors (see below), whose sum is σ = 2520315000. Its totient is φ = 2121822720.

The previous prime is 2313411097. The next prime is 2313411251. The reversal of 2313411101 is 1011143132.

It can be written as a sum of positive squares in 4 ways, for example, as 39075001 + 2274336100 = 6251^2 + 47690^2 .

It is not a de Polignac number, because 2313411101 - 22 = 2313411097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2313411101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313410101) 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 23 ways as a sum of consecutive naturals, for example, 2204825 + ... + 2205873.

It is an arithmetic number, because the mean of its divisors is an integer number (105013125).

Almost surely, 22313411101 is an apocalyptic number.

It is an amenable number.

2313411101 is a deficient number, since it is larger than the sum of its proper divisors (206903899).

2313411101 is a wasteful number, since it uses less digits than its factorization.

2313411101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2313411101 is about 48097.9323983890. The cubic root of 2313411101 is about 1322.5667650919.

Adding to 2313411101 its reverse (1011143132), we get a palindrome (3324554233).

The spelling of 2313411101 in words is "two billion, three hundred thirteen million, four hundred eleven thousand, one hundred one".

Divisors: 1 19 41 149 361 779 1049 2831 6109 14801 19931 43009 53789 116071 156301 378689 817171 2205349 2969719 6408341 15526249 56424661 121758479 2313411101