Search a number
-
+
12001110221023 = 7117313761325423
BaseRepresentation
bin1010111010100011100111…
…1010010110000011011111
31120111021222000011011201121
42232220321322112003133
53033111233204033043
641305122305551411
72346023461515340
oct256507172260337
946437860134647
1012001110221023
113907707940340
121419a8b645567
1369091370b8c1
142d6bdd21c0c7
1515c29a624ded
hexaea39e960df

12001110221023 has 64 divisors (see below), whose sum is σ = 15303624118272. Its totient is φ = 9140791265280.

The previous prime is 12001110220943. The next prime is 12001110221029. The reversal of 12001110221023 is 32012201110021.

It is a cyclic number.

It is not a de Polignac number, because 12001110221023 - 237 = 11863671267551 is a prime.

It is a super-2 number, since 2×120011102210232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001110220988 and 12001110221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001110221029) 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, 472044490 + ... + 472069912.

It is an arithmetic number, because the mean of its divisors is an integer number (239119126848).

Almost surely, 212001110221023 is an apocalyptic number.

12001110221023 is a deficient number, since it is larger than the sum of its proper divisors (3302513897249).

12001110221023 is a wasteful number, since it uses less digits than its factorization.

12001110221023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26264.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12001110221023 its reverse (32012201110021), we get a palindrome (44013311331044).

The spelling of 12001110221023 in words is "twelve trillion, one billion, one hundred ten million, two hundred twenty-one thousand, twenty-three".

Divisors: 1 7 11 73 77 137 511 613 803 959 1507 4291 5621 6743 10001 10549 25423 44749 47201 70007 83981 110011 177961 279653 313243 492239 587867 770077 923791 1855879 1957571 3445673 3482951 6130613 6466537 12991153 15584299 20414669 24380657 38312461 42914291 67436743 109090093 142902683 171427289 254255423 268187227 472057201 1137653827 1199991023 1779787961 2135048963 2796809653 7963576789 12514192097 14945342741 19577667571 23485538593 87599344679 155858574299 164398770151 1091010020093 1714444317289 12001110221023