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242301011010 = 2351910716324373
BaseRepresentation
bin1110000110101001000…
…1000000010001000010
3212011102101002200200220
43201222101000101002
512432213024323020
6303151143323510
723335305416502
oct3415221002102
9764371080626
10242301011010
1193839670933
123ab62150596
1319b0600bac6
14ba28101a02
156481e7c240
hex386a440442

242301011010 has 128 divisors (see below), whose sum is σ = 621665694720. Its totient is φ = 60266301696.

The previous prime is 242301011009. The next prime is 242301011021. The reversal of 242301011010 is 10110103242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9929184 + ... + 9953556.

It is an arithmetic number, because the mean of its divisors is an integer number (4856763240).

Almost surely, 2242301011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242301011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310832847360).

242301011010 is an abundant number, since it is smaller than the sum of its proper divisors (379364683710).

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

242301011010 is a wasteful number, since it uses less digits than its factorization.

242301011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24672.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 242301011010 its reverse (10110103242), we get a palindrome (252411114252).

The spelling of 242301011010 in words is "two hundred forty-two billion, three hundred one million, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 107 114 163 190 214 285 321 326 489 535 570 642 815 978 1070 1605 1630 2033 2445 3097 3210 4066 4890 6099 6194 9291 10165 12198 15485 17441 18582 20330 24373 30495 30970 34882 46455 48746 52323 60990 73119 87205 92910 104646 121865 146238 174410 243730 261615 331379 365595 463087 523230 662758 731190 926174 994137 1389261 1656895 1988274 2315435 2607911 2778522 3313790 3972799 4630870 4970685 5215822 6946305 7823733 7945598 9941370 11918397 13039555 13892610 15647466 19863995 23836794 26079110 39118665 39727990 49550309 59591985 75483181 78237330 99100618 119183970 148650927 150966362 226449543 247751545 297301854 377415905 425089493 452899086 495503090 743254635 754831810 850178986 1132247715 1275268479 1486509270 2125447465 2264495430 2550536958 4250894930 6376342395 8076700367 12752684790 16153400734 24230101101 40383501835 48460202202 80767003670 121150505505 242301011010