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1242133224300 = 2232524133662147
BaseRepresentation
bin10010000100110100111…
…010001101101101101100
311101202011101210200002100
4102010310322031231230
5130322342101134200
62350343401455100
7155512135125453
oct22046472155554
94352141720070
101242133224300
11439870906121
12180897aa1490
13901955bb867
144419614db9a
152249daedd00
hex12134e8db6c

1242133224300 has 108 divisors (see below), whose sum is σ = 3988358619336. Its totient is φ = 323156601600.

The previous prime is 1242133224287. The next prime is 1242133224313. The reversal of 1242133224300 is 34223312421.

1242133224300 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 332 + 24 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (1242133224287) and next prime (1242133224313).

It is a super-2 number, since 2×12421332243002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16794174 + ... + 16867973.

Almost surely, 21242133224300 is an apocalyptic number.

1242133224300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242133224300 is an abundant number, since it is smaller than the sum of its proper divisors (2746225395036).

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

1242133224300 is a wasteful number, since it uses less digits than its factorization.

1242133224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33662208 (or 33662198 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1242133224300 its reverse (34223312421), we get a palindrome (1276356536721).

The spelling of 1242133224300 in words is "one trillion, two hundred forty-two billion, one hundred thirty-three million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 33662147 67324294 100986441 134648588 168310735 201972882 302959323 336621470 403945764 504932205 605918646 673242940 841553675 1009864410 1211837292 1380148027 1514796615 1683107350 2019728820 2524661025 2760296054 3029593230 3366214700 4140444081 5049322050 5520592108 6059186460 6900740135 7573983075 8280888162 10098644100 12421332243 13801480270 15147966150 16561776324 20702220405 24842664486 27602960540 30295932300 34503700675 41404440810 49685328972 62106661215 69007401350 82808881620 103511102025 124213322430 138014802700 207022204050 248426644860 310533306075 414044408100 621066612150 1242133224300