Search a number
-
+
101647827381342 = 23112421332567177
BaseRepresentation
bin10111000111001010111010…
…101001001010110001011110
3111022220102210212020201101010
4113013022322221022301132
5101310344222302200332
61000104211154200050
730260545630604004
oct2707127251126136
9438812725221333
10101647827381342
112a42a668670100
12b498043883026
13449446c976418
141b15ad147ca74
15bb415eb399cc
hex5c72baa4ac5e

101647827381342 has 48 divisors (see below), whose sum is σ = 223987985189136. Its totient is φ = 30729207062400.

The previous prime is 101647827381337. The next prime is 101647827381377. The reversal of 101647827381342 is 243183728746101.

101647827381342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1016478273813422 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165977943 + ... + 166589234.

It is an arithmetic number, because the mean of its divisors is an integer number (4666416358107).

Almost surely, 2101647827381342 is an apocalyptic number.

101647827381342 is an abundant number, since it is smaller than the sum of its proper divisors (122340157807794).

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

101647827381342 is a wasteful number, since it uses less digits than its factorization.

101647827381342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332567625 (or 332567614 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 101647827381342 in words is "one hundred one trillion, six hundred forty-seven billion, eight hundred twenty-seven million, three hundred eighty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 421 726 842 1263 2526 4631 9262 13893 27786 50941 101882 152823 305646 332567177 665134354 997701531 1995403062 3658238947 7316477894 10974716841 21949433682 40240628417 80481256834 120721885251 140010781517 241443770502 280021563034 420032344551 840064689102 1540118596687 3080237193374 4620355790061 9240711580122 16941304563557 33882609127114 50823913690671 101647827381342