Search a number
-
+
101054234304 = 2632823213173
BaseRepresentation
bin101111000011101001…
…1010011111011000000
3100122211122100222211200
41132013103103323000
53123424340444204
6114231302541200
710205134550622
oct1360723237300
9318748328750
10101054234304
1139947531a21
1217702a37800
1396b605841a
144c69088c12
152966a80539
hex17874d3ec0

101054234304 has 84 divisors (see below), whose sum is σ = 290007025776. Its totient is φ = 33643657728.

The previous prime is 101054234287. The next prime is 101054234311. The reversal of 101054234304 is 403432450101.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 367462 + ... + 580634.

Almost surely, 2101054234304 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 101054234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145003512888).

101054234304 is an abundant number, since it is smaller than the sum of its proper divisors (188952791472).

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

101054234304 is a wasteful number, since it uses less digits than its factorization.

101054234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214014 (or 214001 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 101054234304 its reverse (403432450101), we get a palindrome (504486684405).

The spelling of 101054234304 in words is "one hundred one billion, fifty-four million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 823 1646 2469 3292 4938 6584 7407 9876 13168 14814 19752 26336 29628 39504 52672 59256 79008 118512 158016 213173 237024 426346 474048 639519 852692 1279038 1705384 1918557 2558076 3410768 3837114 5116152 6821536 7674228 10232304 13643072 15348456 20464608 30696912 40929216 61393824 122787648 175441379 350882758 526324137 701765516 1052648274 1403531032 1578972411 2105296548 2807062064 3157944822 4210593096 5614124128 6315889644 8421186192 11228248256 12631779288 16842372384 25263558576 33684744768 50527117152 101054234304