Search a number
-
+
3013102300 = 2252134156531
BaseRepresentation
bin1011001110011000…
…0100101011011100
321202222200110022111
42303212010223130
522132323233200
61214553123404
7134444642545
oct26346045334
97688613274
103013102300
1113068aa39a
127010b9564
13390321190
142082574cc
151297d10ba
hexb3984adc

3013102300 has 72 divisors (see below), whose sum is σ = 7213257072. Its totient is φ = 1085376000.

The previous prime is 3013102283. The next prime is 3013102303. The reversal of 3013102300 is 32013103.

3013102300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013102303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25035 + ... + 81565.

It is an arithmetic number, because the mean of its divisors is an integer number (100184126).

Almost surely, 23013102300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606628536).

3013102300 is an abundant number, since it is smaller than the sum of its proper divisors (4200154772).

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

3013102300 is a wasteful number, since it uses less digits than its factorization.

3013102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56599 (or 56592 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3013102300 is about 54891.7325286787. The cubic root of 3013102300 is about 1444.3461639684.

Adding to 3013102300 its reverse (32013103), we get a palindrome (3045115403).

The spelling of 3013102300 in words is "three billion, thirteen million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2665 4100 5330 10660 13325 26650 53300 56531 113062 226124 282655 565310 734903 1130620 1413275 1469806 2317771 2826550 2939612 3674515 4635542 5653100 7349030 9271084 11588855 14698060 18372575 23177710 30131023 36745150 46355420 57944275 60262046 73490300 115888550 120524092 150655115 231777100 301310230 602620460 753275575 1506551150 3013102300