Search a number
-
+
101022306 = 23711449487
BaseRepresentation
bin1100000010101…
…11101001100010
321001002110112220
412001113221202
5201330203211
614005131510
72334450450
oct601275142
9231073486
10101022306
115202a610
12299b9b96
1317c10c18
14d5b99d0
158d07806
hex6057a62

101022306 has 64 divisors (see below), whose sum is σ = 252979200. Its totient is φ = 26127360.

The previous prime is 101022301. The next prime is 101022307. The reversal of 101022306 is 603220101.

It is not an unprimeable number, because it can be changed into a prime (101022301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207195 + ... + 207681.

It is an arithmetic number, because the mean of its divisors is an integer number (3952800).

Almost surely, 2101022306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126489600).

101022306 is an abundant number, since it is smaller than the sum of its proper divisors (151956894).

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

101022306 is a wasteful number, since it uses less digits than its factorization.

101022306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101022306 is about 10050.9853248326. The cubic root of 101022306 is about 465.7352318390.

Adding to 101022306 its reverse (603220101), we get a palindrome (704242407).

The spelling of 101022306 in words is "one hundred one million, twenty-two thousand, three hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 449 462 487 898 974 1347 1461 2694 2922 3143 3409 4939 5357 6286 6818 9429 9878 10227 10714 14817 16071 18858 20454 29634 32142 34573 37499 69146 74998 103719 112497 207438 218663 224994 437326 655989 1311978 1530641 2405293 3061282 4591923 4810586 7215879 9183846 14431758 16837051 33674102 50511153 101022306