Search a number
-
+
12001102031133 = 3219633531107791
BaseRepresentation
bin1010111010100011100101…
…1011000110100100011101
31120111021221102202002022100
42232220321123012210131
53033111224104444013
641305121414235313
72346023332065165
oct256507133064435
946437842662270
1012001102031133
113907703257136
121419a88955b39
13690911b01c07
142d6bdc0c95a5
1515c299a58473
hexaea396c691d

12001102031133 has 24 divisors (see below), whose sum is σ = 18247594135680. Its totient is φ = 7579516904640.

The previous prime is 12001102031101. The next prime is 12001102031179. The reversal of 12001102031133 is 33113020110021.

It is not a de Polignac number, because 12001102031133 - 25 = 12001102031101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001102031333) 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, 10279468 + ... + 11387258.

It is an arithmetic number, because the mean of its divisors is an integer number (760316422320).

Almost surely, 212001102031133 is an apocalyptic number.

It is an amenable number.

12001102031133 is a deficient number, since it is larger than the sum of its proper divisors (6246492104547).

12001102031133 is a wasteful number, since it uses less digits than its factorization.

12001102031133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171169 (or 1171166 counting only the distinct ones).

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

Adding to 12001102031133 its reverse (33113020110021), we get a palindrome (45114122141154).

The spelling of 12001102031133 in words is "twelve trillion, one billion, one hundred two million, thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 171 63353 190059 570177 1107791 1203707 3323373 3611121 9970119 10833363 21048029 63144087 189432261 70181883223 210545649669 631636949007 1333455781237 4000367343711 12001102031133