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242201024019 = 3547673071031
BaseRepresentation
bin1110000110010001001…
…1100101011000010011
3212011011101221211100000
43201210103211120103
512432011430232034
6303133212301043
723332652510313
oct3414423453023
9764141854300
10242201024019
1193798189159
123ab34771783
1319abb3a11c6
14ba18b15443
1564782cb599
hex38644e5613

242201024019 has 96 divisors (see below), whose sum is σ = 377643442176. Its totient is φ = 155015609760.

The previous prime is 242201023957. The next prime is 242201024033. The reversal of 242201024019 is 910420102242.

242201024019 is a `hidden beast` number, since 24 + 220 + 10 + 2 + 401 + 9 = 666.

It is not a de Polignac number, because 242201024019 - 221 = 242198926867 is a prime.

It is a super-2 number, since 2×2422010240192 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242201023983 and 242201024001.

It is not an unprimeable number, because it can be changed into a prime (242201024089) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 234918034 + ... + 234919064.

It is an arithmetic number, because the mean of its divisors is an integer number (3933785856).

Almost surely, 2242201024019 is an apocalyptic number.

242201024019 is a deficient number, since it is larger than the sum of its proper divisors (135442418157).

242201024019 is a wasteful number, since it uses less digits than its factorization.

242201024019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 242201024019 in words is "two hundred forty-two billion, two hundred one million, twenty-four thousand, nineteen".

Divisors: 1 3 9 27 47 67 81 141 201 243 307 423 603 921 1031 1269 1809 2763 3093 3149 3807 5427 8289 9279 9447 11421 14429 16281 20569 24867 27837 28341 43287 48457 61707 69077 74601 83511 85023 129861 145371 185121 207231 250533 255069 316517 389583 436113 555363 621693 765207 949551 966743 1168749 1308339 1666089 1865079 2848653 2900229 3246619 3506247 3925017 4998267 5595237 8545959 8700687 9739857 11775051 14876299 16785711 21206639 25637877 26102061 29219571 44628897 63619917 76913631 78306183 87658713 133886691 190859751 234918549 262976139 401660073 572579253 788928417 996712033 1204980219 1717737759 2990136099 3614940657 5153213277 8970408297 26911224891 80733674673 242201024019