Search a number
-
+
21132433423112 = 23113377011016527
BaseRepresentation
bin1001100111000010001110…
…01011111111101100001000
32202211020111121201212201112
410303201013023333230020
510232213210424014422
6112540034512305452
74310524254215204
oct463410713775410
982736447655645
1021132433423112
11680823a822940
122453735242288
13ba3a1a642b1b
14530b5b00db04
15269a82dd9ee2
hex1338472ffb08

21132433423112 has 64 divisors (see below), whose sum is σ = 43415585591040. Its totient is φ = 9563476608000.

The previous prime is 21132433423111. The next prime is 21132433423141.

21132433423112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211324334231122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21132433423111) 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 15 ways as a sum of consecutive naturals, for example, 20280593 + ... + 21297119.

It is an arithmetic number, because the mean of its divisors is an integer number (678368524860).

Almost surely, 221132433423112 is an apocalyptic number.

21132433423112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21132433423112 is an abundant number, since it is smaller than the sum of its proper divisors (22283152167928).

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

21132433423112 is a wasteful number, since it uses less digits than its factorization.

21132433423112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017582 (or 1017578 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2113243 and 3423112, that added together give a palindrome (5536355).

The spelling of 21132433423112 in words is "twenty-one trillion, one hundred thirty-two billion, four hundred thirty-three million, four hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 337 674 701 1348 1402 2696 2804 3707 5608 7414 7711 14828 15422 29656 30844 61688 236237 472474 944948 1016527 1889896 2033054 2598607 4066108 5197214 8132216 10394428 11181797 20788856 22363594 44727188 89454376 342569599 685139198 712585427 1370278396 1425170854 2740556792 2850341708 3768265589 5700683416 7536531178 7838439697 15073062356 15676879394 30146124712 31353758788 62707517576 240141288899 480282577798 960565155596 1921130311192 2641554177889 5283108355778 10566216711556 21132433423112