Search a number
-
+
100055062062351 = 32115339894780397
BaseRepresentation
bin10110101111111111100010…
…011011101010010100001111
3111010021011121022022010000100
4112233333202123222110033
5101103300231341443401
6552444354433502143
730034511466016254
oct2657774233522417
9433234538263010
10100055062062351
1129976128116630
12b27b411a11953
1343aa1c8864126
141a9c99595b42b
15b879dd779b86
hex5affe26ea50f

100055062062351 has 48 divisors (see below), whose sum is σ = 160677590280480. Its totient is φ = 59480364053760.

The previous prime is 100055062062287. The next prime is 100055062062379. The reversal of 100055062062351 is 153260260550001.

100055062062351 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 5 + 0 + 6 + 20 + 623 + 5 + 1 = 666.

It is not a de Polignac number, because 100055062062351 - 26 = 100055062062287 is a prime.

It is a super-2 number, since 2×1000550620623512 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100055062062251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18540085 + ... + 23320481.

It is an arithmetic number, because the mean of its divisors is an integer number (3347449797510).

Almost surely, 2100055062062351 is an apocalyptic number.

100055062062351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100055062062351 is a deficient number, since it is larger than the sum of its proper divisors (60622528218129).

100055062062351 is a wasteful number, since it uses less digits than its factorization.

100055062062351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784456 (or 4784453 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 100055062062351 in words is "one hundred trillion, fifty-five billion, sixty-two million, sixty-two thousand, three hundred fifty-one".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 3989 5247 11967 35901 43879 131637 211417 394911 634251 1902753 2325587 4780397 6976761 14341191 20930283 43023573 52584367 157753101 253361041 473259303 760083123 2280249369 2786971451 8360914353 19069003633 25082743059 57207010899 171621032697 209759039963 629277119889 1010657192549 1887831359667 3031971577647 9095914732941 11117229118039 33351687354117 100055062062351