Search a number
-
+
242104412012099 = 713192933677129971
BaseRepresentation
bin110111000011000101010011…
…011110011111111001000011
31011202012221210202000200220012
4313003011103132133321003
5223213114313433341344
62214525121554335135
7101665316011343060
oct6703052336377103
91152187722020805
10242104412012099
11701619a4a2829a
12231a155988a4ab
13a51246a9a7a90
1443adcb7973c67
151ceca584d129e
hexdc315379fe43

242104412012099 has 64 divisors (see below), whose sum is σ = 314816057256960. Its totient is φ = 180803350679040.

The previous prime is 242104412012003. The next prime is 242104412012101. The reversal of 242104412012099 is 990210214401242.

It is a cyclic number.

It is not a de Polignac number, because 242104412012099 - 212 = 242104412008003 is a prime.

It is a super-2 number, since 2×2421044120120992 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242104412014099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1862692184 + ... + 1862822154.

It is an arithmetic number, because the mean of its divisors is an integer number (4919000894640).

Almost surely, 2242104412012099 is an apocalyptic number.

242104412012099 is a deficient number, since it is larger than the sum of its proper divisors (72711645244861).

242104412012099 is a wasteful number, since it uses less digits than its factorization.

242104412012099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133980.

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 242104412012099 in words is "two hundred forty-two trillion, one hundred four billion, four hundred twelve million, twelve thousand, ninety-nine".

Divisors: 1 7 13 19 91 133 247 293 1729 2051 3677 3809 5567 25739 26663 38969 47801 69863 72371 129971 334607 489041 506597 908219 909797 1077361 1689623 2469449 6357533 7541527 11827361 14005693 17286143 20469859 32102837 38081503 98039851 143289013 224719859 266108167 266570521 477903367 495059539 723548557 1862757169 3345323569 3465416773 5064839899 6212743771 9080163973 9406131241 43489206397 63561147811 65842918687 118042131649 140025686531 826294921543 980179805717 1820333924903 2660488044089 12742337474321 18623416308623 34586344573157 242104412012099