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112283970498 = 2347237612
BaseRepresentation
bin110100010010010100…
…1010110101111000010
3101201211021002200220000
41220210221112233002
53314424144023443
6123325455100430
711053334000400
oct1504451265702
9351737080800
10112283970498
114368a412a37
1219917811716
13a78574bc3b
14561267c470
152dc289e8d3
hex1a24a56bc2

112283970498 has 90 divisors (see below), whose sum is σ = 292754538153. Its totient is φ = 32072604480.

The previous prime is 112283970473. The next prime is 112283970517. The reversal of 112283970498 is 894079382211.

112283970498 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 83 + 9 + 70 + 498 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111952475649 + 331494849 = 334593^2 + 18207^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=236943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon 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 44 ways as a sum of consecutive naturals, for example, 29852938 + ... + 29856698.

Almost surely, 2112283970498 is an apocalyptic number.

112283970498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112283970498

112283970498 is an abundant number, since it is smaller than the sum of its proper divisors (180470567655).

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

112283970498 is an frugal number, since it uses more digits than its factorization.

112283970498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 112283970498 in words is "one hundred twelve billion, two hundred eighty-three million, nine hundred seventy thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3761 3969 7522 7938 11283 22566 26327 33849 52654 67698 78981 101547 157962 184289 203094 236943 304641 368578 473886 552867 609282 710829 1105734 1421658 1658601 2132487 3317202 4264974 4975803 9951606 14145121 14927409 28290242 29854818 42435363 84870726 99015847 127306089 198031694 254612178 297047541 381918267 594095082 693110929 763836534 891142623 1145754801 1386221858 1782285246 2079332787 2291509602 2673427869 4158665574 5346855738 6237998361 8020283607 12475996722 16040567214 18713995083 37427990166 56141985249 112283970498