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11311211120 = 2451117756097
BaseRepresentation
bin10101000100011001…
…10110001001110000
31002012022001001122012
422202030312021300
5141131132223440
65110222302052
7550205464616
oct124214661160
932168031565
1011311211120
11488497a370
122238127928
1310b354c341
147943616b6
15463064e65
hex2a2336270

11311211120 has 80 divisors (see below), whose sum is σ = 30376993248. Its totient is φ = 3871211520.

The previous prime is 11311211083. The next prime is 11311211129. The reversal of 11311211120 is 2111211311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11311211095 and 11311211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363089 + ... + 393008.

Almost surely, 211311211120 is an apocalyptic number.

11311211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311211120 is an abundant number, since it is smaller than the sum of its proper divisors (19065782128).

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

11311211120 is a wasteful number, since it uses less digits than its factorization.

11311211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756138 (or 756132 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11311211120 its reverse (2111211311), we get a palindrome (13422422431).

The spelling of 11311211120 in words is "eleven billion, three hundred eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 756097 1512194 3024388 3780485 6048776 7560970 8317067 12097552 12853649 15121940 16634134 25707298 30243880 33268268 41585335 51414596 60487760 64268245 66536536 83170670 102829192 128536490 133073072 141390139 166341340 205658384 257072980 282780278 332682680 514145960 565560556 665365360 706950695 1028291920 1131121112 1413901390 2262242224 2827802780 5655605560 11311211120