Search a number
-
+
242131101223 = 11277293367739
BaseRepresentation
bin1110000110000000100…
…0110110011000100111
3212010222112101101021211
43201200020312120213
512431341030214343
6303122233452251
723331143254624
oct3414010663047
9763875341254
10242131101223
1193761770120
123ab15271087
1319aa9a5b87b
14ba0d71334b
1564720b879d
hex3860236627

242131101223 has 32 divisors (see below), whose sum is σ = 267087098880. Its totient is φ = 217685439360.

The previous prime is 242131101217. The next prime is 242131101241. The reversal of 242131101223 is 322101131242.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242131101223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242131101194 and 242131101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242131101293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327646588 + ... + 327647326.

It is an arithmetic number, because the mean of its divisors is an integer number (8346471840).

Almost surely, 2242131101223 is an apocalyptic number.

242131101223 is a deficient number, since it is larger than the sum of its proper divisors (24955997657).

242131101223 is a wasteful number, since it uses less digits than its factorization.

242131101223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 242131101223 its reverse (322101131242), we get a palindrome (564232232465).

The spelling of 242131101223 in words is "two hundred forty-two billion, one hundred thirty-one million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 11 277 293 367 739 3047 3223 4037 8129 81161 101659 107531 204703 216527 271213 892771 1118249 1182841 2251733 2381797 2983343 29786087 59977979 75126001 79465409 327646957 659757769 826386011 874119499 22011918293 242131101223