Search a number
-
+
100136014044 = 22311285380849
BaseRepresentation
bin101110101000010010…
…0100101000011011100
3100120110122120120102220
41131100210211003130
53120034304422134
6114000222145340
710143315034623
oct1352044450334
9316418516386
10100136014044
1139516195500
12174a7422250
13959aa52721
144bbd1486ba
152911155149
hex17509250dc

100136014044 has 72 divisors (see below), whose sum is σ = 257126931600. Its totient is φ = 30308298240.

The previous prime is 100136014037. The next prime is 100136014049. The reversal of 100136014044 is 440410631001.

100136014044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100136014049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198132 + ... + 1278980.

Almost surely, 2100136014044 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 100136014044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563465800).

100136014044 is an abundant number, since it is smaller than the sum of its proper divisors (156990917556).

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

100136014044 is a wasteful number, since it uses less digits than its factorization.

100136014044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81731 (or 81718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100136014044 its reverse (440410631001), we get a palindrome (540546645045).

The spelling of 100136014044 in words is "one hundred billion, one hundred thirty-six million, fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 853 1452 1706 2559 3412 5118 9383 10236 18766 28149 37532 56298 80849 103213 112596 161698 206426 242547 309639 323396 412852 485094 619278 889339 970188 1238556 1778678 2668017 3557356 5336034 9782729 10672068 19565458 29348187 39130916 58696374 68964197 117392748 137928394 206892591 275856788 413785182 758606167 827570364 1517212334 2275818501 3034424668 4551637002 8344667837 9103274004 16689335674 25034003511 33378671348 50068007022 100136014044