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242331000132 = 223138318715709
BaseRepresentation
bin1110000110110000001…
…1011001110101000100
3212011111110112022001010
43201230003121311010
512432243214001012
6303154134202220
723336121341364
oct3415403316504
9764443468033
10242331000132
1193854594131
123ab701b3370
1319b0c2abb50
14ba2c0aa9a4
156484902c3c
hex386c0d9d44

242331000132 has 48 divisors (see below), whose sum is σ = 616270898880. Its totient is φ = 73665026688.

The previous prime is 242331000103. The next prime is 242331000139. The reversal of 242331000132 is 231000133242.

It is a junction number, because it is equal to n+sod(n) for n = 242331000099 and 242331000108.

It is not an unprimeable number, because it can be changed into a prime (242331000139) 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 15 ways as a sum of consecutive naturals, for example, 9344907 + ... + 9370802.

It is an arithmetic number, because the mean of its divisors is an integer number (12838977060).

Almost surely, 2242331000132 is an apocalyptic number.

It is an amenable number.

242331000132 is an abundant number, since it is smaller than the sum of its proper divisors (373939898748).

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

242331000132 is a wasteful number, since it uses less digits than its factorization.

242331000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18715812 (or 18715810 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 242331000132 its reverse (231000133242), we get a palindrome (473331133374).

The spelling of 242331000132 in words is "two hundred forty-two billion, three hundred thirty-one million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 996 1079 2158 3237 4316 6474 12948 18715709 37431418 56147127 74862836 112294254 224588508 243304217 486608434 729912651 973216868 1459825302 1553403847 2919650604 3106807694 4660211541 6213615388 9320423082 18640846164 20194250011 40388500022 60582750033 80777000044 121165500066 242331000132