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112314020220 = 223253767251701
BaseRepresentation
bin110100010011001101…
…1111111000101111100
3101201220100122101100200
41220212123333011330
53320004342121340
6123332451123500
711054150264043
oct1504633770574
9351810571320
10112314020220
11436a5377816
12199258a3590
13a78ba4073c
14561666155a
152dc5338330
hex1a266ff17c

112314020220 has 144 divisors (see below), whose sum is σ = 355117290528. Its totient is φ = 28705881600.

The previous prime is 112314020219. The next prime is 112314020333. The reversal of 112314020220 is 22020413211.

It is a happy number.

112314020220 is a `hidden beast` number, since 1 + 12 + 31 + 402 + 0 + 220 = 666.

It is a super-2 number, since 2×1123140202202 (a number of 23 digits) contains 22 as substring.

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 = 112314020193 and 112314020202.

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, 320370 + ... + 572070.

Almost surely, 2112314020220 is an apocalyptic number.

112314020220 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 112314020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177558645264).

112314020220 is an abundant number, since it is smaller than the sum of its proper divisors (242803270308).

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

112314020220 is a wasteful number, since it uses less digits than its factorization.

112314020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251820 (or 251815 counting only the distinct ones).

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

Adding to 112314020220 its reverse (22020413211), we get a palindrome (134334433431).

The spelling of 112314020220 in words is "one hundred twelve billion, three hundred fourteen million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 67 74 90 111 134 148 180 185 201 222 268 333 335 370 402 444 555 603 666 670 740 804 1005 1110 1206 1332 1340 1665 2010 2220 2412 2479 3015 3330 4020 4958 6030 6660 7437 9916 12060 12395 14874 22311 24790 29748 37185 44622 49580 74370 89244 111555 148740 223110 251701 446220 503402 755103 1006804 1258505 1510206 2265309 2517010 3020412 3775515 4530618 5034020 7551030 9061236 9312937 11326545 15102060 16863967 18625874 22653090 27938811 33727934 37251748 45306180 46564685 50591901 55877622 67455868 83816433 84319835 93129370 101183802 111755244 139694055 151775703 167632866 168639670 186258740 202367604 252959505 279388110 303551406 335265732 337279340 419082165 505919010 558776220 607102812 623966779 758878515 838164330 1011838020 1247933558 1517757030 1676328660 1871900337 2495867116 3035514060 3119833895 3743800674 5615701011 6239667790 7487601348 9359501685 11231402022 12479335580 18719003370 22462804044 28078505055 37438006740 56157010110 112314020220