Search a number
-
+
101301304 = 23132312417
BaseRepresentation
bin1100000100110…
…11110000111000
321001121122021011
412002123300320
5201413120204
614015123304
72340022036
oct602336070
9231548234
10101301304
1152200195
1229b13534
1317caac00
14d64d556
158d60304
hex609bc38

101301304 has 48 divisors (see below), whose sum is σ = 212397120. Its totient is φ = 45227520.

The previous prime is 101301259. The next prime is 101301307. The reversal of 101301304 is 403103101.

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 (101301307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40704 + ... + 43120.

It is an arithmetic number, because the mean of its divisors is an integer number (4424940).

Almost surely, 2101301304 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 101301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106198560).

101301304 is an abundant number, since it is smaller than the sum of its proper divisors (111095816).

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

101301304 is a wasteful number, since it uses less digits than its factorization.

101301304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101301304 is about 10064.8548921482. The cubic root of 101301304 is about 466.1635852950.

Adding to 101301304 its reverse (403103101), we get a palindrome (504404405).

The spelling of 101301304 in words is "one hundred one million, three hundred one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 806 1352 1612 2417 3224 4834 5239 9668 10478 19336 20956 31421 41912 62842 74927 125684 149854 251368 299708 408473 599416 816946 974051 1633892 1948102 3267784 3896204 7792408 12662663 25325326 50650652 101301304