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112242022300 = 22521724194727
BaseRepresentation
bin110100010001000100…
…1010101011110011100
3101201201100011111210001
41220202021111132130
53314332424203200
6123321400024044
711052314306422
oct1504211253634
9351640144701
10112242022300
1143668771701
1219905762024
13a779b52715
14560ac7d112
152dbdd6576a
hex1a2225579c

112242022300 has 108 divisors (see below), whose sum is σ = 265048754544. Its totient is φ = 41224755200.

The previous prime is 112242022289. The next prime is 112242022331. The reversal of 112242022300 is 3220242211.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 1137537 + ... + 1232263.

Almost surely, 2112242022300 is an apocalyptic number.

112242022300 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 112242022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132524377272).

112242022300 is an abundant number, since it is smaller than the sum of its proper divisors (152806732244).

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

112242022300 is a wasteful number, since it uses less digits than its factorization.

112242022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94816 (or 94792 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 112242022300 its reverse (3220242211), we get a palindrome (115462264511).

The spelling of 112242022300 in words is "one hundred twelve billion, two hundred forty-two million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 289 340 410 425 578 697 820 850 1025 1156 1394 1445 1700 2050 2788 2890 3485 4100 5780 6970 7225 11849 13940 14450 17425 23698 28900 34850 47396 59245 69700 94727 118490 189454 236980 296225 378908 473635 592450 947270 1184900 1610359 1894540 2368175 3220718 3883807 4736350 6441436 7767614 8051795 9472700 15535228 16103590 19419035 27376103 32207180 38838070 40258975 54752206 66024719 77676140 80517950 97095175 109504412 132049438 136880515 161035900 194190350 264098876 273761030 330123595 388380700 547522060 660247190 684402575 1122420223 1320494380 1368805150 1650617975 2244840446 2737610300 3301235950 4489680892 5612101115 6602471900 11224202230 22448404460 28060505575 56121011150 112242022300