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11014035136 = 261331439931
BaseRepresentation
bin10100100000111110…
…01101011011000000
31001102120211221211021
422100133031123000
5140024043111021
65020524555224
7536636516416
oct122037153300
931376757737
1011014035136
114742154685
1221746b2b14
131066acca70
14766ac52b6
15446e12c41
hex2907cd6c0

11014035136 has 112 divisors (see below), whose sum is σ = 24864007168. Its totient is φ = 4804531200.

The previous prime is 11014035119. The next prime is 11014035173. The reversal of 11014035136 is 63153041011.

It is a self number, because there is not a number n which added to its sum of digits gives 11014035136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104091 + ... + 1114021.

It is an arithmetic number, because the mean of its divisors is an integer number (222000064).

Almost surely, 211014035136 is an apocalyptic number.

11014035136 is a gapful number since it is divisible by the number (16) 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 11014035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432003584).

11014035136 is an abundant number, since it is smaller than the sum of its proper divisors (13849972032).

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

11014035136 is a wasteful number, since it uses less digits than its factorization.

11014035136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 11014035136 its reverse (63153041011), we get a palindrome (74167076147).

The spelling of 11014035136 in words is "eleven billion, fourteen million, thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 43 52 62 64 86 104 124 172 208 248 344 403 416 496 559 688 806 832 992 1118 1333 1376 1612 1984 2236 2666 2752 3224 4472 5332 6448 8944 9931 10664 12896 17329 17888 19862 21328 25792 34658 35776 39724 42656 69316 79448 85312 129103 138632 158896 258206 277264 307861 317792 427033 516412 554528 615722 635584 854066 1032824 1109056 1231444 1708132 2065648 2462888 3416264 4002193 4131296 4925776 5551429 6832528 8004386 8262592 9851552 11102858 13238023 13665056 16008772 19703104 22205716 26476046 27330112 32017544 44411432 52952092 64035088 88822864 105904184 128070176 172094299 177645728 211808368 256140352 344188598 355291456 423616736 688377196 847233472 1376754392 2753508784 5507017568 11014035136