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112104401200 = 245211231107751
BaseRepresentation
bin110100001100111110…
…0010110100100110000
3101201100202012122010021
41220121330112210300
53314042211314300
6123300002213224
711046023454631
oct1503174264460
9351322178107
10112104401200
11435a8014960
1219887654214
13a75749910c
1455d6897888
152db1c2dd1a
hex1a19f16930

112104401200 has 120 divisors (see below), whose sum is σ = 306590305536. Its totient is φ = 38992800000.

The previous prime is 112104401191. The next prime is 112104401221. The reversal of 112104401200 is 2104401211.

It is a happy number.

It is a super-2 number, since 2×1121044012002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 452676 + ... + 655075.

Almost surely, 2112104401200 is an apocalyptic number.

112104401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112104401200 is an abundant number, since it is smaller than the sum of its proper divisors (194485904336).

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

112104401200 is a wasteful number, since it uses less digits than its factorization.

112104401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107803 (or 1107792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112104401200 its reverse (2104401211), we get a palindrome (114208802411).

The spelling of 112104401200 in words is "one hundred twelve billion, one hundred four million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4400 4600 5060 6325 9200 10120 12650 20240 25300 50600 101200 1107751 2215502 4431004 5538755 8862008 11077510 12185261 17724016 22155020 24370522 25478273 27693775 44310040 48741044 50956546 55387550 60926305 88620080 97482088 101913092 110775100 121852610 127391365 194964176 203826184 221550200 243705220 254782730 280261003 304631525 407652368 443100400 487410440 509565460 560522006 609263050 636956825 974820880 1019130920 1121044012 1218526100 1273913650 1401305015 2038261840 2242088024 2437052200 2547827300 2802610030 4484176048 4874104400 5095654600 5605220060 7006525075 10191309200 11210440120 14013050150 22420880240 28026100300 56052200600 112104401200