Search a number
-
+
112168371420 = 223257891000253
BaseRepresentation
bin110100001110111000…
…0011000010011011100
3101201112012120122202200
41220131300120103130
53314210100341140
6123310205251500
711050431266010
oct1503560302334
9351465518680
10112168371420
1143630137706
12198a4b63b90
13a767806211
14560118a540
152db7668030
hex1a1dc184dc

112168371420 has 144 divisors (see below), whose sum is σ = 393219852480. Its totient is φ = 25350386688.

The previous prime is 112168371401. The next prime is 112168371461. The reversal of 112168371420 is 24173861211.

112168371420 is a `hidden beast` number, since 1 + 1 + 2 + 168 + 3 + 71 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 387987 + ... + 612266.

It is an arithmetic number, because the mean of its divisors is an integer number (2730693420).

Almost surely, 2112168371420 is an apocalyptic number.

112168371420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112168371420 is an abundant number, since it is smaller than the sum of its proper divisors (281051481060).

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

112168371420 is a wasteful number, since it uses less digits than its factorization.

112168371420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000364 (or 1000359 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112168371420 in words is "one hundred twelve billion, one hundred sixty-eight million, three hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12460 16020 18690 22428 28035 37380 56070 112140 1000253 2000506 3000759 4001012 5001265 6001518 7001771 9002277 10002530 12003036 14003542 15003795 18004554 20005060 21005313 28007084 30007590 35008855 36009108 42010626 45011385 60015180 63015939 70017710 84021252 89022517 90022770 105026565 126031878 140035420 178045034 180045540 210053130 252063756 267067551 315079695 356090068 420106260 445112585 534135102 623157619 630159390 801202653 890225170 1068270204 1246315238 1260318780 1335337755 1602405306 1780450340 1869472857 2492630476 2670675510 3115788095 3204810612 3738945714 4006013265 5341351020 5608418571 6231576190 7477891428 8012026530 9347364285 11216837142 12463152380 16024053060 18694728570 22433674284 28042092855 37389457140 56084185710 112168371420