Search a number
-
+
101022124 = 22721074817
BaseRepresentation
bin1100000010101…
…11100110101100
321001002110022011
412001113212230
5201330201444
614005131004
72334450100
oct601274654
9231073264
10101022124
115202a465
12299b9a64
1317c10b08
14d5b9900
158d07734
hex60579ac

101022124 has 36 divisors (see below), whose sum is σ = 207617256. Its totient is φ = 42881664.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022124 is 421220101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18564 + ... + 23380.

It is an arithmetic number, because the mean of its divisors is an integer number (5767146).

Almost surely, 2101022124 is an apocalyptic number.

101022124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103808628).

101022124 is an abundant number, since it is smaller than the sum of its proper divisors (106595132).

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

101022124 is a wasteful number, since it uses less digits than its factorization.

101022124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 101022124 is about 10050.9762709898. The cubic root of 101022124 is about 465.7349521521.

Adding to 101022124 its reverse (421220101), we get a palindrome (522242225).

The spelling of 101022124 in words is "one hundred one million, twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 428 749 1498 2996 4817 5243 9634 10486 19268 20972 33719 67438 134876 236033 472066 515419 944132 1030838 2061676 3607933 7215866 14431732 25255531 50511062 101022124