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11205142512 = 2431972814217
BaseRepresentation
bin10100110111110000…
…01110011111110000
31001220220110012212020
422123320032133300
5140422004030022
65051513031440
7544450065654
oct123370163760
931826405766
1011205142512
114830013463
1222086b5580
131097592555
14784230a64
15458ab235c
hex29be0e7f0

11205142512 has 80 divisors (see below), whose sum is σ = 29204014752. Its totient is φ = 3701985280.

The previous prime is 11205142411. The next prime is 11205142537. The reversal of 11205142512 is 21524150211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2655028 + ... + 2659244.

Almost surely, 211205142512 is an apocalyptic number.

11205142512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11205142512 is an abundant number, since it is smaller than the sum of its proper divisors (17998872240).

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

11205142512 is a wasteful number, since it uses less digits than its factorization.

11205142512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 11205142512 its reverse (21524150211), we get a palindrome (32729292723).

The spelling of 11205142512 in words is "eleven billion, two hundred five million, one hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 281 394 562 591 788 843 1124 1182 1576 1686 2248 2364 3152 3372 4217 4496 4728 6744 8434 9456 12651 13488 16868 25302 33736 50604 55357 67472 101208 110714 166071 202416 221428 332142 442856 664284 830749 885712 1184977 1328568 1661498 2369954 2492247 2657136 3322996 3554931 4739908 4984494 6645992 7109862 9479816 9968988 13291984 14219724 18959632 19937976 28439448 39875952 56878896 233440469 466880938 700321407 933761876 1400642814 1867523752 2801285628 3735047504 5602571256 11205142512