Search a number
-
+
101006610055 = 5134137901167
BaseRepresentation
bin101111000010001110…
…1101000111010000111
3100122201022202102122121
41132010131220322013
53123330143010210
6114222442110411
710204016006461
oct1360435507207
9318638672577
10101006610055
113992266413a
12176aaaab407
1396a92224b0
144c62a0d131
1529627c46da
hex1784768e87

101006610055 has 16 divisors (see below), whose sum is σ = 133715320704. Its totient is φ = 72770238720.

The previous prime is 101006609999. The next prime is 101006610071. The reversal of 101006610055 is 550016600101.

It is not a de Polignac number, because 101006610055 - 27 = 101006609927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18947919 + ... + 18953248.

It is an arithmetic number, because the mean of its divisors is an integer number (8357207544).

Almost surely, 2101006610055 is an apocalyptic number.

101006610055 is a deficient number, since it is larger than the sum of its proper divisors (32708710649).

101006610055 is a wasteful number, since it uses less digits than its factorization.

101006610055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37901226.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 101006610055 in words is "one hundred one billion, six million, six hundred ten thousand, fifty-five".

Divisors: 1 5 13 41 65 205 533 2665 37901167 189505835 492715171 1553947847 2463575855 7769739235 20201322011 101006610055