Search a number
-
+
1133303313120 = 253511214640779
BaseRepresentation
bin10000011111011110001…
…001000011001011100000
311000100020212010100211020
4100133132021003023200
5122032001122004440
62224344331045440
7144610212134616
oct20373611031340
94010225110736
101133303313120
113a76a41a2070
12163784ba0880
1382b40642704
143cbd05116b6
151e72e5d43d0
hex107de2432e0

1133303313120 has 96 divisors (see below), whose sum is σ = 3894442312320. Its totient is φ = 274740195840.

The previous prime is 1133303313113. The next prime is 1133303313187. The reversal of 1133303313120 is 213133033311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 107315110 + ... + 107325669.

It is an arithmetic number, because the mean of its divisors is an integer number (40567107420).

Almost surely, 21133303313120 is an apocalyptic number.

1133303313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133303313120 is an abundant number, since it is smaller than the sum of its proper divisors (2761138999200).

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

1133303313120 is a wasteful number, since it uses less digits than its factorization.

1133303313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214640808 (or 214640800 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1133303313120 its reverse (213133033311), we get a palindrome (1346436346431).

The spelling of 1133303313120 in words is "one trillion, one hundred thirty-three billion, three hundred three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 214640779 429281558 643922337 858563116 1073203895 1287844674 1717126232 2146407790 2361048569 2575689348 3219611685 3434252464 4292815580 4722097138 5151378696 6439223370 6868504928 7083145707 8585631160 9444194276 10302757392 11805242845 12878446740 14166291414 17171262320 18888388552 20605514784 23610485690 25756893480 28332582828 34342524640 35415728535 37776777104 47220971380 51513786960 56665165656 70831457070 75553554208 94441942760 103027573920 113330331312 141662914140 188883885520 226660662624 283325828280 377767771040 566651656560 1133303313120