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112120230420 = 2232511127445877
BaseRepresentation
bin110100001101011100…
…0101111001000010100
3101201101211222211201200
41220122320233020110
53314110234333140
6123301325352500
711046305143152
oct1503270571024
9351354884650
10112120230420
1143605a46660
1219890a08730
13a75a84c013
1455d8a183d2
152db3309030
hex1a1ae2f214

112120230420 has 144 divisors (see below), whose sum is σ = 373938259968. Its totient is φ = 26966580480.

The previous prime is 112120230379. The next prime is 112120230461. The reversal of 112120230420 is 24032021211.

It is a happy number.

112120230420 is a `hidden beast` number, since 1 + 1 + 2 + 12 + 0 + 230 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (112120230379) and next prime (112120230461).

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

It is a junction number, because it is equal to n+sod(n) for n = 112120230393 and 112120230402.

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, 28522 + ... + 474398.

It is an arithmetic number, because the mean of its divisors is an integer number (2596793472).

Almost surely, 2112120230420 is an apocalyptic number.

112120230420 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 112120230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186969129984).

112120230420 is an abundant number, since it is smaller than the sum of its proper divisors (261818029548).

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

112120230420 is a wasteful number, since it uses less digits than its factorization.

112120230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446030 (or 446025 counting only the distinct ones).

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

Adding to 112120230420 its reverse (24032021211), we get a palindrome (136152251631).

The spelling of 112120230420 in words is "one hundred twelve billion, one hundred twenty million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 127 132 165 180 198 220 254 330 381 396 495 508 635 660 762 990 1143 1270 1397 1524 1905 1980 2286 2540 2794 3810 4191 4572 5588 5715 6985 7620 8382 11430 12573 13970 16764 20955 22860 25146 27940 41910 50292 62865 83820 125730 251460 445877 891754 1337631 1783508 2229385 2675262 4012893 4458770 4904647 5350524 6688155 8025786 8917540 9809294 13376310 14713941 16051572 19618588 20064465 24523235 26752620 29427882 40128930 44141823 49046470 56626379 58855764 73569705 80257860 88283646 98092940 113252758 147139410 169879137 176567292 220709115 226505516 283131895 294278820 339758274 441418230 509637411 566263790 622890169 679516548 849395685 882836460 1019274822 1132527580 1245780338 1698791370 1868670507 2038549644 2491560676 2548187055 3114450845 3397582740 3737341014 5096374110 5606011521 6228901690 7474682028 9343352535 10192748220 11212023042 12457803380 18686705070 22424046084 28030057605 37373410140 56060115210 112120230420