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11033112144 = 2432311938377
BaseRepresentation
bin10100100011001111…
…11110111001010000
31001110220202011120010
422101213332321100
5140043434042034
65022445514520
7540260622465
oct122147767120
931426664503
1011033112144
1147519a44aa
12217ab72a40
13106aa4c032
1476944d66c
154489303e9
hex2919fee50

11033112144 has 80 divisors (see below), whose sum is σ = 29769916032. Its totient is φ = 3514435584.

The previous prime is 11033112143. The next prime is 11033112163. The reversal of 11033112144 is 44121133011.

It is a self number, because there is not a number n which added to its sum of digits gives 11033112144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033112143) 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, 1312884 + ... + 1321260.

Almost surely, 211033112144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884958016).

11033112144 is an abundant number, since it is smaller than the sum of its proper divisors (18736803888).

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

11033112144 is a wasteful number, since it uses less digits than its factorization.

11033112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9604 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11033112144 its reverse (44121133011), we get a palindrome (55154245155).

The spelling of 11033112144 in words is "eleven billion, thirty-three million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1193 2386 3579 4772 7158 8377 9544 14316 16754 19088 25131 27439 28632 33508 50262 54878 57264 67016 82317 100524 109756 134032 164634 192671 201048 219512 329268 385342 402096 439024 578013 658536 770684 1156026 1317072 1541368 2312052 3082736 4624104 9248208 9993761 19987522 29981283 39975044 59962566 79950088 119925132 159900176 229856503 239850264 459713006 479700528 689569509 919426012 1379139018 1838852024 2758278036 3677704048 5516556072 11033112144