Search a number
-
+
11033210112 = 28338936931
BaseRepresentation
bin10100100011010000…
…10110110100000000
31001110220221010221120
422101220112310000
5140044000210422
65022451552240
7540261511221
oct122150266400
931426833846
1011033210112
114751a61071
12217abbb680
13106aa847c2
14769477248
1544894e45c
hex291a16d00

11033210112 has 72 divisors (see below), whose sum is σ = 29440713120. Its totient is φ = 3668183040.

The previous prime is 11033210087. The next prime is 11033210143. The reversal of 11033210112 is 21101233011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11033210091 and 11033210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280287 + ... + 317217.

Almost surely, 211033210112 is an apocalyptic number.

11033210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720356560).

11033210112 is an abundant number, since it is smaller than the sum of its proper divisors (18407503008).

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

11033210112 is an equidigital number, since it uses as much as digits as its factorization.

11033210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37339 (or 37325 counting only the distinct ones).

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

Adding to 11033210112 its reverse (21101233011), we get a palindrome (32134443123).

The spelling of 11033210112 in words is "eleven billion, thirty-three million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 389 768 778 1167 1556 2334 3112 4668 6224 9336 12448 18672 24896 36931 37344 49792 73862 74688 99584 110793 147724 149376 221586 295448 298752 443172 590896 886344 1181792 1772688 2363584 3545376 4727168 7090752 9454336 14181504 14366159 28363008 28732318 43098477 57464636 86196954 114929272 172393908 229858544 344787816 459717088 689575632 919434176 1379151264 1838868352 2758302528 3677736704 5516605056 11033210112