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113231116560 = 24358347911867
BaseRepresentation
bin110100101110100011…
…0011011100100010000
3101211021021022201000210
41221131012123210100
53323344131212220
6124003451444120
711115654416232
oct1513506334420
9354237281023
10113231116560
1144026016881
1219b40a56640
13a8a6a419b3
1456a238c252
152e2aae06e0
hex1a5d19b910

113231116560 has 160 divisors (see below), whose sum is σ = 356017213440. Its totient is φ = 29766383104.

The previous prime is 113231116549. The next prime is 113231116573. The reversal of 113231116560 is 65611132311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9535747 + ... + 9547613.

It is an arithmetic number, because the mean of its divisors is an integer number (2225107584).

Almost surely, 2113231116560 is an apocalyptic number.

113231116560 is a gapful number since it is divisible by the number (10) 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 113231116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178008606720).

113231116560 is an abundant number, since it is smaller than the sum of its proper divisors (242786096880).

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

113231116560 is a wasteful number, since it uses less digits than its factorization.

113231116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445 (or 12439 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 113231116560 its reverse (65611132311), we get a palindrome (178842248871).

The spelling of 113231116560 in words is "one hundred thirteen billion, two hundred thirty-one million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 479 498 664 830 958 996 1245 1328 1437 1660 1916 1992 2395 2490 2874 3320 3832 3984 4790 4980 5748 6640 7185 7664 9580 9960 11496 11867 14370 19160 19920 22992 23734 28740 35601 38320 39757 47468 57480 59335 71202 79514 94936 114960 118670 119271 142404 159028 178005 189872 198785 237340 238542 284808 318056 356010 397570 474680 477084 569616 596355 636112 712020 795140 949360 954168 984961 1192710 1424040 1590280 1908336 1969922 2385420 2848080 2954883 3180560 3939844 4770840 4924805 5684293 5909766 7879688 9541680 9849610 11368586 11819532 14774415 15759376 17052879 19699220 22737172 23639064 28421465 29548830 34105758 39398440 45474344 47278128 56842930 59097660 68211516 78796880 85264395 90948688 113685860 118195320 136423032 170528790 227371720 236390640 272846064 341057580 454743440 471796319 682115160 943592638 1364230320 1415388957 1887185276 2358981595 2830777914 3774370552 4717963190 5661555828 7076944785 7548741104 9435926380 11323111656 14153889570 18871852760 22646223312 28307779140 37743705520 56615558280 113231116560