Search a number
-
+
101724112 = 2472931319
BaseRepresentation
bin1100001000000…
…10111111010000
321002102010020201
412010002333100
5202020132422
614032144544
72343432520
oct604027720
9232363221
10101724112
1152469916
122a098154
13180c84a9
14d71d680
158de5727
hex6102fd0

101724112 has 40 divisors (see below), whose sum is σ = 233020800. Its totient is φ = 42091392.

The previous prime is 101724071. The next prime is 101724127. The reversal of 101724112 is 211427101.

It is a self number, because there is not a number n which added to its sum of digits gives 101724112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12412 + ... + 18907.

It is an arithmetic number, because the mean of its divisors is an integer number (5825520).

Almost surely, 2101724112 is an apocalyptic number.

It is an amenable number.

101724112 is an abundant number, since it is smaller than the sum of its proper divisors (131296688).

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

101724112 is a wasteful number, since it uses less digits than its factorization.

101724112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31363 (or 31357 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 101724112 is about 10085.8371987654. The cubic root of 101724112 is about 466.8112377476.

The spelling of 101724112 in words is "one hundred one million, seven hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 31319 62638 125276 219233 250552 438466 501104 876932 908251 1753864 1816502 3507728 3633004 6357757 7266008 12715514 14532016 25431028 50862056 101724112