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22111133011232 = 252321306186969
BaseRepresentation
bin1010000011100001001100…
…01110101000110100100000
32220021210200212200021012212
411001300212032220310200
510344232100022324412
6115005414141141252
74441322326363106
oct501604616506440
986253625607185
1022111133011232
117055308170051
12259135185a828
13c450bc9b3445
14566282583c76
15285264663222
hex141c263a8d20

22111133011232 has 36 divisors (see below), whose sum is σ = 45506247847830. Its totient is φ = 10574889692928.

The previous prime is 22111133011217. The next prime is 22111133011237. The reversal of 22111133011232 is 23211033111122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20220166995856 + 1890966015376 = 4496684^2 + 1375124^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 22111133011198 and 22111133011207.

It is not an unprimeable number, because it can be changed into a prime (22111133011237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 653076557 + ... + 653110412.

Almost surely, 222111133011232 is an apocalyptic number.

It is an amenable number.

22111133011232 is an abundant number, since it is smaller than the sum of its proper divisors (23395114836598).

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

22111133011232 is a wasteful number, since it uses less digits than its factorization.

22111133011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306187025 (or 1306186994 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 22111133011232 its reverse (23211033111122), we get a palindrome (45322166122354).

The spelling of 22111133011232 in words is "twenty-two trillion, one hundred eleven billion, one hundred thirty-three million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 16928 1306186969 2612373938 5224747876 10449495752 20898991504 30042300287 41797983008 60084600574 120169201148 240338402296 480676804592 690972906601 961353609184 1381945813202 2763891626404 5527783252808 11055566505616 22111133011232