Search a number
-
+
112302301200 = 24352214143711
BaseRepresentation
bin110100010010110111…
…1010010000000010000
3101201212112120222212220
41220211233102000100
53314443342114300
6123331352021040
711053645544565
oct1504557220020
9351775528786
10112302301200
11436997a3081
1219921991780
13a7894995cb
145614c9086c
152dc42c0da0
hex1a25bd2010

112302301200 has 120 divisors (see below), whose sum is σ = 359917963776. Its totient is φ = 29932608000.

The previous prime is 112302301171. The next prime is 112302301207. The reversal of 112302301200 is 2103203211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1123023012002 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112302301200.

It is not an unprimeable number, because it can be changed into a prime (112302301207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2547345 + ... + 2591055.

Almost surely, 2112302301200 is an apocalyptic number.

112302301200 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 112302301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179958981888).

112302301200 is an abundant number, since it is smaller than the sum of its proper divisors (247615662576).

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

112302301200 is a wasteful number, since it uses less digits than its factorization.

112302301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45873 (or 45862 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112302301200 its reverse (2103203211), we get a palindrome (114405504411).

It can be divided in two parts, 11230230 and 1200, that added together give a triangular number (11231430 = T4739).

The spelling of 112302301200 in words is "one hundred twelve billion, three hundred two million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2141 4282 6423 8564 10705 12846 17128 21410 25692 32115 34256 42820 43711 51384 53525 64230 85640 87422 102768 107050 128460 131133 160575 171280 174844 214100 218555 256920 262266 321150 349688 428200 437110 513840 524532 642300 655665 699376 856400 874220 1049064 1092775 1284600 1311330 1748440 2098128 2185550 2569200 2622660 3278325 3496880 4371100 5245320 6556650 8742200 10490640 13113300 17484400 26226600 52453200 93585251 187170502 280755753 374341004 467926255 561511506 748682008 935852510 1123023012 1403778765 1497364016 1871705020 2246046024 2339631275 2807557530 3743410040 4492092048 4679262550 5615115060 7018893825 7486820080 9358525100 11230230120 14037787650 18717050200 22460460240 28075575300 37434100400 56151150600 112302301200