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112062414300 = 223523750320071
BaseRepresentation
bin110100001011101110…
…0001011110111011100
3101201020211012110220220
41220113130023313130
53314000434224200
6123251502241340
711045003543064
oct1502734136734
9351224173826
10112062414300
1143586347541
1219875586250
13a74b8880b5
1455d10883a4
152dad1d84a0
hex1a1770bddc

112062414300 has 144 divisors (see below), whose sum is σ = 333675643392. Its totient is φ = 29016403200.

The previous prime is 112062414229. The next prime is 112062414323. The reversal of 112062414300 is 3414260211.

112062414300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 5573265 + ... + 5593335.

It is an arithmetic number, because the mean of its divisors is an integer number (2317191968).

Almost surely, 2112062414300 is an apocalyptic number.

112062414300 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 112062414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166837821696).

112062414300 is an abundant number, since it is smaller than the sum of its proper divisors (221613229092).

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

112062414300 is a wasteful number, since it uses less digits than its factorization.

112062414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20628 (or 20621 counting only the distinct ones).

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

Adding to 112062414300 its reverse (3414260211), we get a palindrome (115476674511).

The spelling of 112062414300 in words is "one hundred twelve billion, sixty-two million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 503 555 740 925 1006 1110 1509 1850 2012 2220 2515 2775 3018 3700 5030 5550 6036 7545 10060 11100 12575 15090 18611 20071 25150 30180 37222 37725 40142 50300 55833 60213 74444 75450 80284 93055 100355 111666 120426 150900 186110 200710 223332 240852 279165 301065 372220 401420 465275 501775 558330 602130 742627 930550 1003550 1116660 1204260 1395825 1485254 1505325 1861100 2007100 2227881 2791650 2970508 3010650 3713135 4455762 5583300 6021300 7426270 8911524 10095713 11139405 14852540 18565675 20191426 22278810 30287139 37131350 40382852 44557620 50478565 55697025 60574278 74262700 100957130 111394050 121148556 151435695 201914260 222788100 252392825 302871390 373541381 504785650 605742780 747082762 757178475 1009571300 1120624143 1494165524 1514356950 1867706905 2241248286 3028713900 3735413810 4482496572 5603120715 7470827620 9338534525 11206241430 18677069050 22412482860 28015603575 37354138100 56031207150 112062414300