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11033111120 = 245587234947
BaseRepresentation
bin10100100011001111…
…11110101001010000
31001110220202010011012
422101213332221100
5140043434023440
65022445510052
7540260616503
oct122147765120
931426663135
1011033111120
1147519a3759
12217ab72328
13106aa4b725
1476944d13a
1544892ee65
hex2919fea50

11033111120 has 40 divisors (see below), whose sum is σ = 25695792864. Its totient is φ = 4405707392.

The previous prime is 11033111113. The next prime is 11033111123. The reversal of 11033111120 is 2111133011.

It is a happy number.

11033111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11033111095 and 11033111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033111123) 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 7 ways as a sum of consecutive naturals, for example, 70514 + ... + 164433.

Almost surely, 211033111120 is an apocalyptic number.

11033111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033111120 is an abundant number, since it is smaller than the sum of its proper divisors (14662681744).

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

11033111120 is a wasteful number, since it uses less digits than its factorization.

11033111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235547 (or 235541 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11033111120 its reverse (2111133011), we get a palindrome (13144244131).

The spelling of 11033111120 in words is "eleven billion, thirty-three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 587 1174 2348 2935 4696 5870 9392 11740 23480 46960 234947 469894 939788 1174735 1879576 2349470 3759152 4698940 9397880 18795760 137913889 275827778 551655556 689569445 1103311112 1379138890 2206622224 2758277780 5516555560 11033111120