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242400003021 = 321137227291521
BaseRepresentation
bin1110000111000000101…
…0101000001111001101
3212011200021101000012200
43201300022220033031
512432413400044041
6303205041152113
723340620013111
oct3416012501715
9764607330180
10242400003021
119388a534010
123ab8b32b639
1319b2068b867
14ba3730d741
15648a9d31b6
hex38702a83cd

242400003021 has 48 divisors (see below), whose sum is σ = 394016470848. Its totient is φ = 142308403200.

The previous prime is 242400003017. The next prime is 242400003059. The reversal of 242400003021 is 120300004242.

242400003021 is a `hidden beast` number, since 242 + 400 + 0 + 0 + 3 + 0 + 21 = 666.

It is not a de Polignac number, because 242400003021 - 22 = 242400003017 is a prime.

It is a super-2 number, since 2×2424000030212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242400002985 and 242400003003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242400003011) 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 47 ways as a sum of consecutive naturals, for example, 685741 + ... + 977261.

It is an arithmetic number, because the mean of its divisors is an integer number (8208676476).

Almost surely, 2242400003021 is an apocalyptic number.

It is an amenable number.

242400003021 is a deficient number, since it is larger than the sum of its proper divisors (151616467827).

242400003021 is a wasteful number, since it uses less digits than its factorization.

242400003021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291802 (or 291799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 242400003021 its reverse (120300004242), we get a palindrome (362700007263).

The spelling of 242400003021 in words is "two hundred forty-two billion, four hundred million, three thousand, twenty-one".

Divisors: 1 3 9 11 33 37 99 111 227 333 407 681 1221 2043 2497 3663 7491 8399 22473 25197 75591 92389 277167 291521 831501 874563 2623689 3206731 9620193 10786277 28860579 32358831 66175267 97076493 118649047 198525801 355947141 595577403 727927937 1067841423 2183783811 2448484879 6551351433 7345454637 22036363911 26933333669 80800001007 242400003021