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112315034040 = 233511101842447
BaseRepresentation
bin110100010011001111…
…1110110100110111000
3101201220102112220001120
41220212133312212320
53320010122042130
6123332524545240
711054162015556
oct1504637664670
9351812486046
10112315034040
11436a59aa490
12199260b2220
13a78c007031
145616846bd6
152dc5488910
hex1a267f69b8

112315034040 has 128 divisors (see below), whose sum is σ = 371216286720. Its totient is φ = 26958272000.

The previous prime is 112315033991. The next prime is 112315034071. The reversal of 112315034040 is 40430513211.

It is a happy number.

112315034040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123150340402 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112315034040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287904 + ... + 554543.

It is an arithmetic number, because the mean of its divisors is an integer number (2900127240).

Almost surely, 2112315034040 is an apocalyptic number.

112315034040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112315034040 is an abundant number, since it is smaller than the sum of its proper divisors (258901252680).

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

112315034040 is a wasteful number, since it uses less digits than its factorization.

112315034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842573 (or 842569 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 112315034040 its reverse (40430513211), we get a palindrome (152745547251).

The spelling of 112315034040 in words is "one hundred twelve billion, three hundred fifteen million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 842447 1684894 2527341 3369788 4212235 5054682 6739576 8424470 9266917 10109364 12636705 16848940 18533834 20218728 25273410 27800751 33697880 37067668 46334585 50546820 55601502 74135336 85087147 92669170 101093640 111203004 139003755 170174294 185338340 222406008 255261441 278007510 340348588 370676680 425435735 510522882 556015020 680697176 850871470 935958617 1021045764 1112030040 1276307205 1701742940 1871917234 2042091528 2552614410 2807875851 3403485880 3743834468 4679793085 5105228820 5615751702 7487668936 9359586170 10210457640 11231503404 14039379255 18719172340 22463006808 28078758510 37438344680 56157517020 112315034040