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11131223232 = 263713372423
BaseRepresentation
bin10100101110111100…
…01111110011000000
31001201202100201200010
422113132033303000
5140244043120412
65040312424520
7542561556603
oct122736176300
931652321603
1011131223232
1147a2315848
1221a79a8140
131085180b2c
147784ac33a
1545236033c
hex29778fcc0

11131223232 has 112 divisors (see below), whose sum is σ = 29967155712. Its totient is φ = 3645788160.

The previous prime is 11131223171. The next prime is 11131223237. The reversal of 11131223232 is 23232213111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11131223199 and 11131223208.

It is not an unprimeable number, because it can be changed into a prime (11131223237) 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, 4592773 + ... + 4595195.

Almost surely, 211131223232 is an apocalyptic number.

11131223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983577856).

11131223232 is an abundant number, since it is smaller than the sum of its proper divisors (18835932480).

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

11131223232 is a wasteful number, since it uses less digits than its factorization.

11131223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2836 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 11131223232 its reverse (23232213111), we get a palindrome (34363436343).

The spelling of 11131223232 in words is "eleven billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 337 426 568 674 852 1011 1136 1348 1704 2022 2272 2423 2696 3408 4044 4544 4846 5392 6816 7269 8088 9692 10784 13632 14538 16176 19384 21568 23927 29076 32352 38768 47854 58152 64704 71781 77536 95708 116304 143562 155072 172033 191416 232608 287124 344066 382832 465216 516099 574248 688132 765664 816551 1032198 1148496 1376264 1531328 1633102 2064396 2296992 2449653 2752528 3266204 4128792 4593984 4899306 5505056 6532408 8257584 9798612 11010112 13064816 16515168 19597224 26129632 33030336 39194448 52259264 57975121 78388896 115950242 156777792 173925363 231900484 347850726 463800968 695701452 927601936 1391402904 1855203872 2782805808 3710407744 5565611616 11131223232