Search a number
-
+
1010241162444 = 22317199223111593
BaseRepresentation
bin11101011001101110001…
…00001100110011001100
310120120121102222101021210
432230313010030303030
5113022433214144234
62052033130054420
7132662501124333
oct16546704146314
93516542871253
101010241162444
1135a493887908
1214395b87a410
137435ac22c87
1436c78624d1a
151b42a8aebe9
hexeb3710cccc

1010241162444 has 96 divisors (see below), whose sum is σ = 2519703244800. Its totient is φ = 313928828928.

The previous prime is 1010241162407. The next prime is 1010241162479. The reversal of 1010241162444 is 4442611420101.

1010241162444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8997112 + ... + 9108704.

It is an arithmetic number, because the mean of its divisors is an integer number (26246908800).

Almost surely, 21010241162444 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 1010241162444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259851622400).

1010241162444 is an abundant number, since it is smaller than the sum of its proper divisors (1509462082356).

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

1010241162444 is a wasteful number, since it uses less digits than its factorization.

1010241162444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112039 (or 112037 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1010241162444 its reverse (4442611420101), we get a palindrome (5452852582545).

The spelling of 1010241162444 in words is "one trillion, ten billion, two hundred forty-one million, one hundred sixty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 199 204 223 398 446 597 669 796 892 1194 1338 2388 2676 3383 3791 6766 7582 10149 11373 13532 15164 20298 22746 40596 44377 45492 88754 111593 133131 177508 223186 266262 334779 446372 532524 669558 754409 1339116 1508818 1897081 2263227 3017636 3794162 4526454 5691243 7588324 9052908 11382486 22207007 22764972 24885239 44414014 49770478 66621021 74655717 88828028 99540956 133242042 149311434 266484084 298622868 377519119 423049063 755038238 846098126 1132557357 1269147189 1510076476 1692196252 2265114714 2538294378 4530229428 4952162561 5076588756 9904325122 14856487683 19808650244 29712975366 59425950732 84186763537 168373527074 252560290611 336747054148 505120581222 1010241162444