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112013002440 = 23335317327179
BaseRepresentation
bin110100001010001111…
…1101100011011001000
3101201010101020002121000
41220110133230123020
53313400312034230
6123242535215000
711043533545143
oct1502437543310
9351111202530
10112013002440
1143560468699
1219860b17460
13a741577601
1455c86a505a
152da8bc7b60
hex1a147ec6c8

112013002440 has 128 divisors (see below), whose sum is σ = 374555664000. Its totient is φ = 29775815424.

The previous prime is 112013002411. The next prime is 112013002459. The reversal of 112013002440 is 44200310211.

112013002440 is a `hidden beast` number, since 1 + 120 + 1 + 300 + 244 + 0 = 666.

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

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, 178771 + ... + 505949.

It is an arithmetic number, because the mean of its divisors is an integer number (2926216125).

Almost surely, 2112013002440 is an apocalyptic number.

112013002440 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 112013002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187277832000).

112013002440 is an abundant number, since it is smaller than the sum of its proper divisors (262542661560).

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

112013002440 is a wasteful number, since it uses less digits than its factorization.

112013002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327516 (or 327506 counting only the distinct ones).

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

Adding to 112013002440 its reverse (44200310211), we get a palindrome (156213312651).

The spelling of 112013002440 in words is "one hundred twelve billion, thirteen million, two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 317 360 540 634 951 1080 1268 1585 1902 2536 2853 3170 3804 4755 5706 6340 7608 8559 9510 11412 12680 14265 17118 19020 22824 28530 34236 38040 42795 57060 68472 85590 114120 171180 327179 342360 654358 981537 1308716 1635895 1963074 2617432 2944611 3271790 3926148 4907685 5889222 6543580 7852296 8833833 9815370 11778444 13087160 14723055 17667666 19630740 23556888 29446110 35335332 39261480 44169165 58892220 70670664 88338330 103715743 117784440 176676660 207431486 311147229 353353320 414862972 518578715 622294458 829725944 933441687 1037157430 1244588916 1555736145 1866883374 2074314860 2489177832 2800325061 3111472290 3733766748 4148629720 4667208435 5600650122 6222944580 7467533496 9334416870 11201300244 12445889160 14001625305 18668833740 22402600488 28003250610 37337667480 56006501220 112013002440