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11331011040 = 253523606273
BaseRepresentation
bin10101000110110000…
…11000000111100000
31002020200022000000120
422203120120013200
5141201214323130
65112210520240
7550536001416
oct124330300740
932220260016
1011331011040
114895073338
122242896080
1310b769267b
14796c372b6
15464b76910
hex2a36181e0

11331011040 has 48 divisors (see below), whose sum is σ = 35692686288. Its totient is φ = 3021602816.

The previous prime is 11331011023. The next prime is 11331011113. The reversal of 11331011040 is 4011013311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×113310110402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11802657 + ... + 11803616.

It is an arithmetic number, because the mean of its divisors is an integer number (743597631).

Almost surely, 211331011040 is an apocalyptic number.

11331011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331011040 is an abundant number, since it is smaller than the sum of its proper divisors (24361675248).

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

11331011040 is a wasteful number, since it uses less digits than its factorization.

11331011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23606291 (or 23606283 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11331011040 its reverse (4011013311), we get a palindrome (15342024351).

The spelling of 11331011040 in words is "eleven billion, three hundred thirty-one million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23606273 47212546 70818819 94425092 118031365 141637638 188850184 236062730 283275276 354094095 377700368 472125460 566550552 708188190 755400736 944250920 1133101104 1416376380 1888501840 2266202208 2832752760 3777003680 5665505520 11331011040