Search a number
-
+
11213120322 = 2323721273583
BaseRepresentation
bin10100111000101101…
…01010001101000010
31001221110110112100200
422130112222031002
5140431024322242
65052400030030
7544604643615
oct123426521502
931843415320
1011213120322
114834572298
12220b302316
131099126851
1478530a17c
1545963b04c
hex29c5aa342

11213120322 has 72 divisors (see below), whose sum is σ = 25173098496. Its totient is φ = 3607045344.

The previous prime is 11213120297. The next prime is 11213120341. The reversal of 11213120322 is 22302131211.

11213120322 is a `hidden beast` number, since 11 + 21 + 312 + 0 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11213120295 and 11213120304.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3127743 + ... + 3131325.

It is an arithmetic number, because the mean of its divisors is an integer number (349626368).

Almost surely, 211213120322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213120322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12586549248).

11213120322 is an abundant number, since it is smaller than the sum of its proper divisors (13959978174).

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

11213120322 is a wasteful number, since it uses less digits than its factorization.

11213120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11213120322 its reverse (22302131211), we get a palindrome (33515251533).

The spelling of 11213120322 in words is "eleven billion, two hundred thirteen million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 127 222 254 333 381 666 762 1143 1369 2286 2738 3583 4107 4699 7166 8214 9398 10749 12321 14097 21498 24642 28194 32247 42291 64494 84582 132571 173863 265142 347726 397713 455041 521589 795426 910082 1043178 1193139 1365123 1564767 2386278 2730246 3129534 4095369 4905127 8190738 9810254 14715381 16836517 29430762 33673034 44146143 50509551 88292286 101019102 151528653 303057306 622951129 1245902258 1868853387 3737706774 5606560161 11213120322