Search a number
-
+
101043444312 = 23327271930373
BaseRepresentation
bin101111000011010101…
…0001001101001011000
3100122210220001210202100
41132012222021221120
53123414110204222
6114230235403400
710204644051126
oct1360652115130
9318726053670
10101043444312
1139941432278
12176bb2b3560
1396b3a4b105
144c6787a916
152965b4d4ac
hex1786a89a58

101043444312 has 48 divisors (see below), whose sum is σ = 274035893040. Its totient is φ = 33634801728.

The previous prime is 101043444251. The next prime is 101043444331. The reversal of 101043444312 is 213444340101.

101043444312 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 344 + 4 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912843 + ... + 1017530.

It is an arithmetic number, because the mean of its divisors is an integer number (5709081105).

Almost surely, 2101043444312 is an apocalyptic number.

101043444312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101043444312 is an abundant number, since it is smaller than the sum of its proper divisors (172992448728).

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

101043444312 is a wasteful number, since it uses less digits than its factorization.

101043444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931112 (or 1931105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101043444312 its reverse (213444340101), we get a palindrome (314487784413).

The spelling of 101043444312 in words is "one hundred one billion, forty-three million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 727 1454 2181 2908 4362 5816 6543 8724 13086 17448 26172 52344 1930373 3860746 5791119 7721492 11582238 15442984 17373357 23164476 34746714 46328952 69493428 138986856 1403381171 2806762342 4210143513 5613524684 8420287026 11227049368 12630430539 16840574052 25260861078 33681148104 50521722156 101043444312