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242332101132 = 223114159758929
BaseRepresentation
bin1110000110110000011…
…1100110101000001100
3212011111112121020022220
43201230013212220030
512432244004214012
6303154213535340
723336133605322
oct3415407465014
9764445536286
10242332101132
1193855176350
123ab70644550
1319b0c5a6024
14ba2c2b5d12
156484a6e08c
hex386c1e6a0c

242332101132 has 96 divisors (see below), whose sum is σ = 642601209600. Its totient is φ = 70428518400.

The previous prime is 242332101131. The next prime is 242332101157. The reversal of 242332101132 is 231101233242.

It is not an unprimeable number, because it can be changed into a prime (242332101131) 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 31 ways as a sum of consecutive naturals, for example, 60157 + ... + 698772.

It is an arithmetic number, because the mean of its divisors is an integer number (6693762600).

Almost surely, 2242332101132 is an apocalyptic number.

242332101132 is a gapful number since it is divisible by the number (22) 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 242332101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321300604800).

242332101132 is an abundant number, since it is smaller than the sum of its proper divisors (400269108468).

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

242332101132 is a wasteful number, since it uses less digits than its factorization.

242332101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759047 (or 759045 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 242332101132 its reverse (231101233242), we get a palindrome (473433334374).

The spelling of 242332101132 in words is "two hundred forty-two billion, three hundred thirty-two million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 59 66 82 118 123 132 164 177 236 246 354 451 492 649 708 902 1298 1353 1804 1947 2419 2596 2706 3894 4838 5412 7257 7788 9676 14514 26609 29028 53218 79827 106436 159654 319308 758929 1517858 2276787 3035716 4553574 8348219 9107148 16696438 25044657 31116089 33392876 44776811 50089314 62232178 89553622 93348267 100178628 124464356 134330433 179107244 186696534 268660866 342276979 373393068 492544921 537321732 684553958 985089842 1026830937 1369107916 1477634763 1835849251 1970179684 2053661874 2955269526 3671698502 4107323748 5507547753 5910539052 7343397004 11015095506 20194341761 22030191012 40388683522 60583025283 80777367044 121166050566 242332101132