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112114304340 = 22351927876577
BaseRepresentation
bin110100001101010001…
…0001000010101010100
3101201101102211202200020
41220122202020111110
53314102230214330
6123300554345140
711046203602023
oct1503242102524
9351342752606
10112114304340
1143602669275
121988aa2b1b0
13a75955586c
1455d7d148ba
152db2a38210
hex1a1a888554

112114304340 has 144 divisors (see below), whose sum is σ = 331783163712. Its totient is φ = 28283323392.

The previous prime is 112114304257. The next prime is 112114304363. The reversal of 112114304340 is 43403411211.

It is a self number, because there is not a number n which added to its sum of digits gives 112114304340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17043132 + ... + 17049708.

It is an arithmetic number, because the mean of its divisors is an integer number (2304049748).

Almost surely, 2112114304340 is an apocalyptic number.

112114304340 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 112114304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165891581856).

112114304340 is an abundant number, since it is smaller than the sum of its proper divisors (219668859372).

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

112114304340 is a wasteful number, since it uses less digits than its factorization.

112114304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7414 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112114304340 its reverse (43403411211), we get a palindrome (155517715551).

The spelling of 112114304340 in words is "one hundred twelve billion, one hundred fourteen million, three hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 787 1083 1140 1444 1574 1805 2166 2361 3148 3610 3935 4332 4722 5415 6577 7220 7870 9444 10830 11805 13154 14953 15740 19731 21660 23610 26308 29906 32885 39462 44859 47220 59812 65770 74765 78924 89718 98655 124963 131540 149530 179436 197310 224295 249926 284107 299060 374889 394620 448590 499852 568214 624815 749778 852321 897180 1136428 1249630 1420535 1499556 1704642 1874445 2374297 2499260 2841070 3409284 3748890 4261605 4748594 5176099 5682140 7122891 7497780 8523210 9497188 10352198 11871485 14245782 15528297 17046420 20704396 23742970 25880495 28491564 31056594 35614455 47485940 51760990 62113188 71228910 77641485 98345881 103521980 142457820 155282970 196691762 295037643 310565940 393383524 491729405 590075286 983458810 1180150572 1475188215 1868571739 1966917620 2950376430 3737143478 5605715217 5900752860 7474286956 9342858695 11211430434 18685717390 22422860868 28028576085 37371434780 56057152170 112114304340