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114044330100 = 223523209118463
BaseRepresentation
bin110101000110110010…
…0100110000001110100
3101220100221112020021210
41222031210212001310
53332030322030400
6124220301441420
711145060545211
oct1521544460164
9356327466253
10114044330100
1144403062188
121a129270270
13a9a637003c
14573c396b08
152e771c7950
hex1a8d926074

114044330100 has 72 divisors (see below), whose sum is σ = 330073873920. Its totient is φ = 30402087680.

The previous prime is 114044330093. The next prime is 114044330149. The reversal of 114044330100 is 1033440411.

114044330100 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 2×1140443301002 (a number of 23 digits) contains 22 as substring.

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, 903469 + ... + 1021931.

It is an arithmetic number, because the mean of its divisors is an integer number (4584359360).

Almost surely, 2114044330100 is an apocalyptic number.

114044330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114044330100 is an abundant number, since it is smaller than the sum of its proper divisors (216029543820).

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

114044330100 is a wasteful number, since it uses less digits than its factorization.

114044330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121689 (or 121682 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114044330100 its reverse (1033440411), we get a palindrome (115077770511).

The spelling of 114044330100 in words is "one hundred fourteen billion, forty-four million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3209 6418 9627 12836 16045 19254 32090 38508 48135 64180 80225 96270 118463 160450 192540 236926 240675 320900 355389 473852 481350 592315 710778 962700 1184630 1421556 1776945 2369260 2961575 3553890 5923150 7107780 8884725 11846300 17769450 35538900 380147767 760295534 1140443301 1520591068 1900738835 2280886602 3801477670 4561773204 5702216505 7602955340 9503694175 11404433010 19007388350 22808866020 28511082525 38014776700 57022165050 114044330100