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11241152120 = 2351189287057
BaseRepresentation
bin10100111100000011…
…00101111001111000
31002000102012200202102
422132001211321320
5141010213331440
65055240522532
7545365134152
oct123601457170
932012180672
1011241152120
114849378a70
122218780448
1310a1b8ca03
14788d25ad2
1545bd26b15
hex29e065e78

11241152120 has 64 divisors (see below), whose sum is σ = 27902037600. Its totient is φ = 4041748480.

The previous prime is 11241152107. The next prime is 11241152123. The reversal of 11241152120 is 2125114211.

11241152120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11241152092 and 11241152101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241152123) 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 15 ways as a sum of consecutive naturals, for example, 104369 + ... + 182688.

Almost surely, 211241152120 is an apocalyptic number.

11241152120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241152120 is an abundant number, since it is smaller than the sum of its proper divisors (16660885480).

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

11241152120 is a wasteful number, since it uses less digits than its factorization.

11241152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287168 (or 287164 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 11241152120 its reverse (2125114211), we get a palindrome (13366266331).

It can be divided in two parts, 11241 and 152120, that added together give a palindrome (163361).

The spelling of 11241152120 in words is "eleven billion, two hundred forty-one million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 7832 9790 19580 39160 287057 574114 1148228 1435285 2296456 2870570 3157627 5741140 6315254 11482280 12630508 15788135 25261016 25548073 31576270 51096146 63152540 102192292 126305080 127740365 204384584 255480730 281028803 510961460 562057606 1021922920 1124115212 1405144015 2248230424 2810288030 5620576060 11241152120