Search a number
-
+
11040241032 = 233454731147
BaseRepresentation
bin10100100100000110…
…01011010110001000
31001111102011100120000
422102003023112020
5140102300203112
65023302403000
7540405333432
oct122203132610
931442140500
1011040241032
114755a23547
122181430460
13106c376b02
1476a387652
1544938c7dc
hex2920cb588

11040241032 has 80 divisors (see below), whose sum is σ = 30980423760. Its totient is φ = 3673234656.

The previous prime is 11040241007. The next prime is 11040241057. The reversal of 11040241032 is 23014204011.

It is an interprime number because it is at equal distance from previous prime (11040241007) and next prime (11040241057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11040240996 and 11040241014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 338883 + ... + 370029.

It is an arithmetic number, because the mean of its divisors is an integer number (387255297).

Almost surely, 211040241032 is an apocalyptic number.

11040241032 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 11040241032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490211880).

11040241032 is an abundant number, since it is smaller than the sum of its proper divisors (19940182728).

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

11040241032 is a wasteful number, since it uses less digits than its factorization.

11040241032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31712 (or 31699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11040241032 its reverse (23014204011), we get a palindrome (34054445043).

The spelling of 11040241032 in words is "eleven billion, forty million, two hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 547 648 1094 1641 2188 3282 4376 4923 6564 9846 13128 14769 19692 29538 31147 39384 44307 59076 62294 88614 93441 118152 124588 177228 186882 249176 280323 354456 373764 560646 747528 840969 1121292 1681938 2242584 2522907 3363876 5045814 6727752 10091628 17037409 20183256 34074818 51112227 68149636 102224454 136299272 153336681 204448908 306673362 408897816 460010043 613346724 920020086 1226693448 1380030129 1840040172 2760060258 3680080344 5520120516 11040241032