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342112224300 = 2235271114810053
BaseRepresentation
bin1001111101001110111…
…10100100010000101100
31012201001101111200021020
410332213132210100230
521101121212134200
6421055244134140
733500600632440
oct4764736442054
91181041450236
10342112224300
111220a8482760
1256378837350
132635168c122
14127b605c820
158d74824ea0
hex4fa77a442c

342112224300 has 144 divisors (see below), whose sum is σ = 1234092179712. Its totient is φ = 71088249600.

The previous prime is 342112224283. The next prime is 342112224323. The reversal of 342112224300 is 3422211243.

It is a happy number.

342112224300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 7381927 + ... + 7428126.

Almost surely, 2342112224300 is an apocalyptic number.

342112224300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342112224300 is an abundant number, since it is smaller than the sum of its proper divisors (891979955412).

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

342112224300 is a wasteful number, since it uses less digits than its factorization.

342112224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14810088 (or 14810081 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 342112224300 its reverse (3422211243), we get a palindrome (345534435543).

The spelling of 342112224300 in words is "three hundred forty-two billion, one hundred twelve million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 14810053 29620106 44430159 59240212 74050265 88860318 103670371 148100530 162910583 177720636 207340742 222150795 296201060 311011113 325821166 370251325 414681484 444301590 488731749 518351855 622022226 651642332 740502650 814552915 888603180 977463498 1036703710 1110753975 1140374081 1244044452 1481005300 1555055565 1629105830 1954926996 2073407420 2221507950 2280748162 2443658745 2591759275 3110111130 3258211660 3421122243 4072764575 4443015900 4561496324 4887317490 5183518550 5701870405 6220222260 6842244486 7775277825 8145529150 9774634980 10367037100 11403740810 12218293725 13684488972 15550555650 16291058300 17105611215 22807481620 24436587450 28509352025 31101111300 34211222430 48873174900 57018704050 68422444860 85528056075 114037408100 171056112150 342112224300