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242401211300 = 225223741114221
BaseRepresentation
bin1110000111000000111…
…1001111001110100100
3212011200100122101122202
43201300033033032210
512432414202230200
6303205123114032
723340633204563
oct3416017171644
9764610571582
10242401211300
1193890189896
123ab8b812918
1319b209c2811
14ba37545bda
15648ab711d5
hex38703cf3a4

242401211300 has 72 divisors (see below), whose sum is σ = 548993320512. Its totient is φ = 92725776000.

The previous prime is 242401211287. The next prime is 242401211317. The reversal of 242401211300 is 3112104242.

242401211300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17038190 + ... + 17052410.

Almost surely, 2242401211300 is an apocalyptic number.

242401211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242401211300 is an abundant number, since it is smaller than the sum of its proper divisors (306592109212).

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

242401211300 is a wasteful number, since it uses less digits than its factorization.

242401211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21669 (or 21662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 242401211300 its reverse (3112104242), we get a palindrome (245513315542).

The spelling of 242401211300 in words is "two hundred forty-two billion, four hundred one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 7411 14221 14822 28442 29644 37055 56884 71105 74110 142210 148220 170453 185275 284420 327083 340906 355525 370550 654166 681812 711050 741100 852265 1308332 1422100 1635415 1704530 3270830 3409060 4261325 6541660 8177075 8522650 16354150 17045300 32708300 105391831 210783662 421567324 526959155 1053918310 2107836620 2424012113 2634795775 4848024226 5269591550 9696048452 10539183100 12120060565 24240121130 48480242260 60600302825 121200605650 242401211300