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112443420120 = 23355928156519
BaseRepresentation
bin110100010111000100…
…1100110110111011000
3101202020101010120122120
41220232021212313120
53320241003420440
6123353352421240
711060311205163
oct1505611466730
9352211116576
10112443420120
1143761419889
12199610a7820
13a7ac7a9025
145629906ada
152dd1898dd0
hex1a2e266dd8

112443420120 has 128 divisors (see below), whose sum is σ = 344274624000. Its totient is φ = 29371274240.

The previous prime is 112443420113. The next prime is 112443420143. The reversal of 112443420120 is 21024344211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961221 + ... + 2017739.

It is an arithmetic number, because the mean of its divisors is an integer number (2689645500).

Almost surely, 2112443420120 is an apocalyptic number.

112443420120 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 112443420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172137312000).

112443420120 is an abundant number, since it is smaller than the sum of its proper divisors (231831203880).

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

112443420120 is a wasteful number, since it uses less digits than its factorization.

112443420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56873 (or 56869 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112443420120 its reverse (21024344211), we get a palindrome (133467764331).

The spelling of 112443420120 in words is "one hundred twelve billion, four hundred forty-three million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 281 295 354 472 562 590 708 843 885 1124 1180 1405 1416 1686 1770 2248 2360 2810 3372 3540 4215 5620 6744 7080 8430 11240 16579 16860 33158 33720 49737 56519 66316 82895 99474 113038 132632 165790 169557 198948 226076 248685 282595 331580 339114 397896 452152 497370 565190 663160 678228 847785 994740 1130380 1356456 1695570 1989480 2260760 3334621 3391140 6669242 6782280 10003863 13338484 15881839 16673105 20007726 26676968 31763678 33346210 40015452 47645517 50019315 63527356 66692420 79409195 80030904 95291034 100038630 127054712 133384840 158818390 190582068 200077260 238227585 317636780 381164136 400154520 476455170 635273560 937028501 952910340 1874057002 1905820680 2811085503 3748114004 4685142505 5622171006 7496228008 9370285010 11244342012 14055427515 18740570020 22488684024 28110855030 37481140040 56221710060 112443420120