Search a number
-
+
11332213111233 = 3271711689905207
BaseRepresentation
bin1010010011100111110010…
…0010010111100111000001
31111010100102102020022022100
42210321330202113213001
52441131333024024413
640033540303301013
72246503543062120
oct244717442274701
944110372208270
1011332213111233
113679a67964493
1213303132aa769
13642813c8a111
142b26a6a13ab7
15149b9bdeda73
hexa4e7c8979c1

11332213111233 has 48 divisors (see below), whose sum is σ = 19809282205440. Its totient is φ = 6094107491328.

The previous prime is 11332213111223. The next prime is 11332213111273. The reversal of 11332213111233 is 33211131223311.

11332213111233 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 221 + 311 + 123 + 3 = 666.

11332213111233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11332213111233 - 25 = 11332213111201 is a prime.

It is a super-2 number, since 2×113322131112332 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11332213111197 and 11332213111206.

It is not an unprimeable number, because it can be changed into a prime (11332213111223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12066316 + ... + 12971522.

It is an arithmetic number, because the mean of its divisors is an integer number (412693379280).

Almost surely, 211332213111233 is an apocalyptic number.

It is an amenable number.

11332213111233 is a deficient number, since it is larger than the sum of its proper divisors (8477069094207).

11332213111233 is a wasteful number, since it uses less digits than its factorization.

11332213111233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916926 (or 916923 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11332213111233 its reverse (33211131223311), we get a palindrome (44543344334544).

The spelling of 11332213111233 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirteen million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 11689 35067 81823 105201 198713 245469 596139 736407 905207 1390991 1788417 2715621 4172973 6336449 8146863 12518919 15388519 19009347 46165557 57028041 107719633 138496671 323158899 969476697 10580964623 31742893869 74066752361 95228681607 179876398591 222200257083 539629195773 666600771249 1259134790137 1618887587319 3777404370411 11332213111233