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242311321020 = 223541269366173
BaseRepresentation
bin1110000110101011100…
…0010101010110111100
3212011110002111111101010
43201222320111112330
512432223144233040
6303152152315220
723335462150026
oct3415270252674
9764402444333
10242311321020
11938444729aa
123ab656a2b10
1319b081ab7c2
14ba29627016
156482d16e80
hex386ae155bc

242311321020 has 96 divisors (see below), whose sum is σ = 697605410880. Its totient is φ = 62805821440.

The previous prime is 242311320959. The next prime is 242311321033. The reversal of 242311321020 is 20123113242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478654 + ... + 844826.

It is an arithmetic number, because the mean of its divisors is an integer number (7266723030).

Almost surely, 2242311321020 is an apocalyptic number.

242311321020 is a gapful number since it is divisible by the number (20) 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 242311321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348802705440).

242311321020 is an abundant number, since it is smaller than the sum of its proper divisors (455294089860).

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

242311321020 is a wasteful number, since it uses less digits than its factorization.

242311321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366495 (or 366493 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 242311321020 its reverse (20123113242), we get a palindrome (262434434262).

The spelling of 242311321020 in words is "two hundred forty-two billion, three hundred eleven million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 269 410 492 538 615 807 820 1076 1230 1345 1614 2460 2690 3228 4035 5380 8070 11029 16140 22058 33087 44116 55145 66174 110290 132348 165435 220580 330870 366173 661740 732346 1098519 1464692 1830865 2197038 3661730 4394076 5492595 7323460 10985190 15013093 21970380 30026186 45039279 60052372 75065465 90078558 98500537 150130930 180157116 197001074 225196395 295501611 300261860 394002148 450392790 492502685 591003222 900785580 985005370 1182006444 1477508055 1970010740 2955016110 4038522017 5910032220 8077044034 12115566051 16154088068 20192610085 24231132102 40385220170 48462264204 60577830255 80770440340 121155660510 242311321020