Search a number
-
+
331110012003102 = 232891986710403453
BaseRepresentation
bin100101101001001001000111…
…0101001011010001100011110
31121102100210211001001120100200
41023102102032221122030132
5321344401301033044402
63132113501205004330
7126512623523420253
oct11322221651321436
91542323731046320
10331110012003102
1196557a708346a2
12311774090b36a6
131129a703950007
145ba9b4ac5542a
152842de806821c
hex12d248ea5a31e

331110012003102 has 48 divisors (see below), whose sum is σ = 725502342492720. Its totient is φ = 109124388084096.

The previous prime is 331110012003097. The next prime is 331110012003103. The reversal of 331110012003102 is 201300210011133.

331110012003102 is a `hidden beast` number, since 331 + 1 + 1 + 0 + 0 + 1 + 20 + 0 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331110012003103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26625208 + ... + 37028660.

It is an arithmetic number, because the mean of its divisors is an integer number (15114632135265).

Almost surely, 2331110012003102 is an apocalyptic number.

331110012003102 is an abundant number, since it is smaller than the sum of its proper divisors (394392330489618).

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

331110012003102 is a wasteful number, since it uses less digits than its factorization.

331110012003102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423417 (or 10423414 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 331110012003102 its reverse (201300210011133), we get a palindrome (532410222014235).

The spelling of 331110012003102 in words is "three hundred thirty-one trillion, one hundred ten billion, twelve million, three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 19867 39734 59601 119202 178803 357606 1768163 3536326 5304489 10403453 10608978 15913467 20806906 31210359 31826934 62420718 93631077 187262154 925907317 1851814634 2777721951 5555443902 8333165853 16666331706 206685400751 413370801502 620056202253 1240112404506 1860168606759 3720337213518 18395000666839 36790001333678 55185002000517 110370004001034 165555006001551 331110012003102