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110232042314121 = 32713228817359279
BaseRepresentation
bin11001000100000101100101…
…101110011001100110001001
3112110022002011120002200021100
4121010011211232121212021
5103422020210313022441
61030235522351532013
732135000524611150
oct3104054556314611
9473262146080240
10110232042314121
113213a168163232
121044385bb2a009
134967ab5b26a00
141d3138b7bc597
15cb25c5c30cb6
hex644165b99989

110232042314121 has 72 divisors (see below), whose sum is σ = 197052209153280. Its totient is φ = 58142194426368.

The previous prime is 110232042314087. The next prime is 110232042314129. The reversal of 110232042314121 is 121413240232011.

110232042314121 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 320 + 4 + 2 + 314 + 1 + 21 = 666.

It is not a de Polignac number, because 110232042314121 - 215 = 110232042281353 is a prime.

It is a super-2 number, since 2×1102320423141212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110232042314129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306634960 + ... + 306994238.

It is an arithmetic number, because the mean of its divisors is an integer number (2736836238240).

Almost surely, 2110232042314121 is an apocalyptic number.

It is an amenable number.

110232042314121 is a deficient number, since it is larger than the sum of its proper divisors (86820166839159).

110232042314121 is a wasteful number, since it uses less digits than its factorization.

110232042314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388135 (or 388119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110232042314121 its reverse (121413240232011), we get a palindrome (231645282546132).

The spelling of 110232042314121 in words is "one hundred ten trillion, two hundred thirty-two billion, forty-two million, three hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 3549 10647 28817 86451 201719 259353 359279 374621 605157 1077837 1123863 1815471 2514953 2622347 3233511 3371589 4670627 4870073 7544859 7867041 14011881 14610219 22634577 23601123 32694389 34090511 42035643 43830657 60718151 98083167 102271533 182154453 294249501 306814599 425027057 546463359 1275081171 3825243513 10353342943 31060028829 72473400601 93180086487 134593458259 217420201803 403780374777 652260605409 942154207813 1211341124331 1749714957367 2826462623439 5249144872101 8479387870317 12248004701569 15747434616303 36744014104707 110232042314121