Search a number
-
+
1102103123121 = 3271113509240341
BaseRepresentation
bin10000000010011010011…
…101110001010010110001
310220100201110110111021200
4100002122131301102301
5121024101344414441
62202144342441413
7142424066656560
oct20023235612261
93810643414250
101102103123121
11395443532580
12159718133269
137cc0a71a820
143b4b0927bd7
151da054337b6
hex1009a7714b1

1102103123121 has 96 divisors (see below), whose sum is σ = 2141620266240. Its totient is φ = 527440550400.

The previous prime is 1102103123117. The next prime is 1102103123137. The reversal of 1102103123121 is 1213213012011.

1102103123121 is a `hidden beast` number, since 110 + 210 + 31 + 2 + 312 + 1 = 666.

It is not a de Polignac number, because 1102103123121 - 22 = 1102103123117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1102103123094 and 1102103123103.

It is not an unprimeable number, because it can be changed into a prime (1102103124121) 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 95 ways as a sum of consecutive naturals, for example, 4465411 + ... + 4705751.

It is an arithmetic number, because the mean of its divisors is an integer number (22308544440).

Almost surely, 21102103123121 is an apocalyptic number.

1102103123121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102103123121 is a deficient number, since it is larger than the sum of its proper divisors (1039517143119).

1102103123121 is a wasteful number, since it uses less digits than its factorization.

1102103123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240887 (or 240884 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1102103123121 its reverse (1213213012011), we get a palindrome (2315316135132).

The spelling of 1102103123121 in words is "one trillion, one hundred two billion, one hundred three million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 509 693 819 1001 1287 1527 3003 3563 4581 5599 6617 9009 10689 16797 19851 32067 39193 46319 50391 59553 72787 117579 138957 218361 240341 352737 416871 509509 655083 721023 1528527 1682387 2163069 2643751 3124433 4585581 5047161 7931253 9373299 15141483 18506257 21871031 23793759 28119897 34368763 55518771 65613093 103106289 122333569 166556313 196839279 240581341 309318867 367000707 721744023 856334983 1101002121 1345669259 1590336397 2165232069 2569004949 4037007777 4771009191 7707014847 9419684813 11132354779 12111023331 14313027573 17493700367 28259054439 33397064337 52481101101 84777163317 100191193011 122455902569 157443303303 367367707707 1102103123121