Search a number
-
+
101055061055 = 51359251277379
BaseRepresentation
bin101111000011101011…
…0011101110000111111
3100122211200220222221002
41132013112131300333
53123430043423210
6114231332400515
710205144563154
oct1360726356077
9318750828832
10101055061055
1139947a47093
121770317613b
1396b6287820
144c6922222b
152966b954a5
hex178759dc3f

101055061055 has 64 divisors (see below), whose sum is σ = 134171251200. Its totient is φ = 72612288000.

The previous prime is 101055061043. The next prime is 101055061087. The reversal of 101055061055 is 550160550101.

It is a happy number.

It is not a de Polignac number, because 101055061055 - 212 = 101055056959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266635856 + ... + 266636234.

It is an arithmetic number, because the mean of its divisors is an integer number (2096425800).

Almost surely, 2101055061055 is an apocalyptic number.

101055061055 is a deficient number, since it is larger than the sum of its proper divisors (33116190145).

101055061055 is a wasteful number, since it uses less digits than its factorization.

101055061055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 101055061055 in words is "one hundred one billion, fifty-five million, sixty-one thousand, fifty-five".

Divisors: 1 5 13 59 65 251 277 295 379 767 1255 1385 1895 3263 3601 3835 4927 14809 16315 16343 18005 22361 24635 69527 74045 81715 95129 104983 111805 192517 212459 290693 347635 475645 524915 903851 962585 1062295 1236677 1364779 1453465 4102093 4519255 5612611 6183385 6193997 6823895 20510465 26350733 28063055 30969985 53327209 72963943 80521961 131753665 266636045 342559529 364819715 402609805 1554693247 1712797645 7773466235 20211012211 101055061055