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242322113012 = 22723223816871
BaseRepresentation
bin1110000110101110000…
…1100000000111110100
3212011110211210210012112
43201223201200013310
512432233430104022
6303153215510152
723335652655410
oct3415341400764
9764424723175
10242322113012
119384a574101
123ab69228358
1319b0a4b99b5
14ba2ac35d40
156483c498e2
hex386b8601f4

242322113012 has 72 divisors (see below), whose sum is σ = 506918412672. Its totient is φ = 99280843200.

The previous prime is 242322113009. The next prime is 242322113017. The reversal of 242322113012 is 210311223242.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242322113017) 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 23 ways as a sum of consecutive naturals, for example, 35263937 + ... + 35270807.

Almost surely, 2242322113012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242322113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253459206336).

242322113012 is an abundant number, since it is smaller than the sum of its proper divisors (264596299660).

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

242322113012 is a wasteful number, since it uses less digits than its factorization.

242322113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 242322113012 its reverse (210311223242), we get a palindrome (452633336254).

The spelling of 242322113012 in words is "two hundred forty-two billion, three hundred twenty-two million, one hundred thirteen thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 529 644 1058 2116 2381 3703 4762 6871 7406 9524 13742 14812 16667 27484 33334 48097 54763 66668 96194 109526 158033 192388 219052 316066 383341 632132 766682 1106231 1259549 1533364 2212462 2519098 3634759 4424924 5038196 7269518 8816843 14539036 16359851 17633686 25443313 32719702 35267372 50886626 65439404 101773252 114518957 229037914 376276573 458075828 752553146 1505106292 2633936011 5267872022 8654361179 10535744044 17308722358 34617444716 60580528253 121161056506 242322113012