Search a number
-
+
11332344344120 = 2357117922291967
BaseRepresentation
bin1010010011101000010001…
…0110111110111000111000
31111010100202120011121222122
42210322010112332320320
52441132120123002440
640034001312140412
72246510025406232
oct244720426767070
944110676147878
1011332344344120
11367a024a48718
12133034b237708
13642835217b07
142b26ba215252
15149ba86c27b5
hexa4e845bee38

11332344344120 has 64 divisors (see below), whose sum is σ = 26001351475200. Its totient is φ = 4444126341760.

The previous prime is 11332344344107. The next prime is 11332344344143. The reversal of 11332344344120 is 2144344323311.

11332344344120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10637624 + ... + 11654343.

It is an arithmetic number, because the mean of its divisors is an integer number (406271116800).

Almost surely, 211332344344120 is an apocalyptic number.

11332344344120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332344344120 is an abundant number, since it is smaller than the sum of its proper divisors (14669007131080).

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

11332344344120 is a wasteful number, since it uses less digits than its factorization.

11332344344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22292228 (or 22292224 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 11332344344120 its reverse (2144344323311), we get a palindrome (13476688667431).

The spelling of 11332344344120 in words is "eleven trillion, three hundred thirty-two billion, three hundred forty-four million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 179 284 355 358 568 710 716 895 1420 1432 1790 2840 3580 7160 12709 25418 50836 63545 101672 127090 254180 508360 22291967 44583934 89167868 111459835 178335736 222919670 445839340 891678680 1582729657 3165459314 3990262093 6330918628 7913648285 7980524186 12661837256 15827296570 15961048372 19951310465 31654593140 31922096744 39902620930 63309186280 79805241860 159610483720 283308608603 566617217206 1133234434412 1416543043015 2266468868824 2833086086030 5666172172060 11332344344120