Search a number
-
+
11100132312 = 2333731673947
BaseRepresentation
bin10100101011001111…
…01001001111011000
31001122120212010221120
422111213221033120
5140213113213222
65033242205240
7542033365533
oct122547511730
931576763846
1011100132312
11478680a775
1221994b3820
13107b8b6439
147742d7a1a
1544e76d15c
hex2959e93d8

11100132312 has 64 divisors (see below), whose sum is σ = 28516561920. Its totient is φ = 3597994368.

The previous prime is 11100132301. The next prime is 11100132319. The reversal of 11100132312 is 21323100111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11100132291 and 11100132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100132319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810323 + ... + 2814269.

It is an arithmetic number, because the mean of its divisors is an integer number (445571280).

Almost surely, 211100132312 is an apocalyptic number.

11100132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11100132312 is an abundant number, since it is smaller than the sum of its proper divisors (17416429608).

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

11100132312 is a wasteful number, since it uses less digits than its factorization.

11100132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11100132312 its reverse (21323100111), we get a palindrome (32423232423).

The spelling of 11100132312 in words is "eleven billion, one hundred million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 3167 3947 6334 7894 9501 11841 12668 15788 19002 23682 25336 31576 38004 47364 76008 94728 117179 146039 234358 292078 351537 438117 468716 584156 703074 876234 937432 1168312 1406148 1752468 2812296 3504936 12500149 25000298 37500447 50000596 75000894 100001192 150001788 300003576 462505513 925011026 1387516539 1850022052 2775033078 3700044104 5550066156 11100132312