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11323403310132 = 223229163101365687
BaseRepresentation
bin1010010011000110111101…
…1011101001010000110100
31111002111200110001001010200
42210301233123221100310
52441010312221411012
640025522154520500
72246042330024604
oct244615733512064
944074613031120
1011323403310132
113676256a71531
12132a674a36130
13641a3ba41c64
142b20ac98cc04
151498337923dc
hexa4c6f6e9434

11323403310132 has 144 divisors (see below), whose sum is σ = 29821568999040. Its totient is φ = 3618325396224.

The previous prime is 11323403310119. The next prime is 11323403310239. The reversal of 11323403310132 is 23101330432311.

11323403310132 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 340 + 3 + 310 + 1 + 3 + 2 = 666.

11323403310132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11323403310096 and 11323403310105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172351393 + ... + 172417079.

It is an arithmetic number, because the mean of its divisors is an integer number (207094229160).

Almost surely, 211323403310132 is an apocalyptic number.

11323403310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323403310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910784499520).

11323403310132 is an abundant number, since it is smaller than the sum of its proper divisors (18498165688908).

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

11323403310132 is a wasteful number, since it uses less digits than its factorization.

11323403310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66902 (or 66897 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11323403310132 its reverse (23101330432311), we get a palindrome (34424733742443).

The spelling of 11323403310132 in words is "eleven trillion, three hundred twenty-three billion, four hundred three million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 163 174 261 326 348 489 522 652 978 1013 1044 1467 1956 2026 2934 3039 4052 4727 5868 6078 9117 9454 12156 14181 18234 18908 28362 29377 36468 42543 56724 58754 65687 85086 88131 117508 131374 165119 170172 176262 197061 262748 264393 330238 352524 394122 495357 528786 591183 660476 788244 990714 1057572 1182366 1486071 1904923 1981428 2364732 2972142 3809846 4788451 5714769 5944284 7619692 9576902 10706981 11429538 14365353 17144307 19153804 21413962 22859076 28730706 32120943 34288614 42827924 43096059 57461412 64241886 66540931 68577228 86192118 96362829 128483772 133081862 172384236 192725658 199622793 266163724 310502449 385451316 399245586 598868379 621004898 798491172 931507347 1197736758 1242009796 1863014694 1929686999 2395473516 2794522041 3726029388 3859373998 5589044082 5789060997 7718747996 10846171753 11178088164 11578121994 17367182991 21692343506 23156243988 32538515259 34734365982 43384687012 65077030518 69468731964 97615545777 130154061036 195231091554 314538980837 390462183108 629077961674 943616942511 1258155923348 1887233885022 2830850827533 3774467770044 5661701655066 11323403310132