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11213222131233 = 3331411221126759
BaseRepresentation
bin1010001100101100100000…
…0111110011011000100001
31110200222021201201020001000
42203023020013303120201
52432204134331144413
635503141053502213
72235062045326023
oct243131007633041
943628251636030
1011213222131233
113633556623aa1
1213112454a1969
1363452cb4a705
142aaa196c6013
15146a3580c073
hexa32c81f3621

11213222131233 has 64 divisors (see below), whose sum is σ = 17568398131200. Its totient is φ = 7057047888000.

The previous prime is 11213222131231. The next prime is 11213222131259. The reversal of 11213222131233 is 33213122231211.

11213222131233 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 322 + 21 + 312 + 3 + 3 = 666.

It is not a de Polignac number, because 11213222131233 - 21 = 11213222131231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11213222131197 and 11213222131206.

It is not an unprimeable number, because it can be changed into a prime (11213222131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419031508 + ... + 419058266.

It is an arithmetic number, because the mean of its divisors is an integer number (274506220800).

Almost surely, 211213222131233 is an apocalyptic number.

It is an amenable number.

11213222131233 is a deficient number, since it is larger than the sum of its proper divisors (6355175999967).

11213222131233 is a wasteful number, since it uses less digits than its factorization.

11213222131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39051 (or 39045 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 11213222131233 its reverse (33213122231211), we get a palindrome (44426344362444).

The spelling of 11213222131233 in words is "eleven trillion, two hundred thirteen billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 27 31 41 93 123 279 369 837 1107 1271 3813 11439 12211 26759 34317 36633 80277 109899 240831 329697 378541 500651 722493 829529 1097119 1135623 1501953 2488587 3291357 3406869 4505859 7465761 9874071 10220607 13517577 15520181 22397283 29622213 34010689 46560543 102032067 139681629 306096201 326754149 419044887 918288603 980262447 2940787341 8822362023 10129378619 13396920109 30388135857 40190760327 91164407571 120572280981 273493222713 361716842943 415304523379 1245913570137 3737740710411 11213222131233