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242101304010 = 232521411256429
BaseRepresentation
bin1110000101111001011…
…1001011101011001010
3212010220110022112012100
43201132113023223022
512431310413212020
6303115251054230
723330332062366
oct3413627135312
9763813275170
10242101304010
1193746969025
123ab072a1376
1319aa3827c97
14ba097982a6
15646e67ea90
hex385e5cbaca

242101304010 has 48 divisors (see below), whose sum is σ = 629757896040. Its totient is φ = 64530142080.

The previous prime is 242101303993. The next prime is 242101304017. The reversal of 242101304010 is 10403101242.

242101304010 is a `hidden beast` number, since 24 + 210 + 1 + 30 + 401 + 0 = 666.

242101304010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 241889863329 + 211440681 = 491823^2 + 14541^2 .

It is a super-2 number, since 2×2421013040102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242101304017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435525 + ... + 820904.

Almost surely, 2242101304010 is an apocalyptic number.

242101304010 is an abundant number, since it is smaller than the sum of its proper divisors (387656592030).

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

242101304010 is a wasteful number, since it uses less digits than its factorization.

242101304010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258583 (or 1258580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 242101304010 its reverse (10403101242), we get a palindrome (252504405252).

The spelling of 242101304010 in words is "two hundred forty-two billion, one hundred one million, three hundred four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2141 4282 6423 10705 12846 19269 21410 32115 38538 64230 96345 192690 1256429 2512858 3769287 6282145 7538574 11307861 12564290 18846435 22615722 37692870 56539305 113078610 2690014489 5380028978 8070043467 13450072445 16140086934 24210130401 26900144890 40350217335 48420260802 80700434670 121050652005 242101304010