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12323350126332 = 2232748902183041
BaseRepresentation
bin1011001101010100000011…
…1010000001111011111100
31121122002201110101110011100
42303111000322001323330
53103401210113020312
642113134025253100
72411222050516050
oct263250072017374
947562643343140
1012323350126332
113a21337971673
121470421034190
136b5118ca919b
1430864bd0dc60
1516585a5005dc
hexb3540e81efc

12323350126332 has 36 divisors (see below), whose sum is σ = 35600789254576. Its totient is φ = 3520957178880.

The previous prime is 12323350126309. The next prime is 12323350126333. The reversal of 12323350126332 is 23362105332321.

12323350126332 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 3 + 5 + 0 + 12 + 633 + 2 = 666.

12323350126332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×123233501263324 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323350126333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24451091269 + ... + 24451091772.

Almost surely, 212323350126332 is an apocalyptic number.

12323350126332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323350126332 is an abundant number, since it is smaller than the sum of its proper divisors (23277439128244).

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

12323350126332 is a wasteful number, since it uses less digits than its factorization.

12323350126332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48902183058 (or 48902183053 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 12323350126332 its reverse (23362105332321), we get a palindrome (35685455458653).

The spelling of 12323350126332 in words is "twelve trillion, three hundred twenty-three billion, three hundred fifty million, one hundred twenty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48902183041 97804366082 146706549123 195608732164 293413098246 342315281287 440119647369 586826196492 684630562574 880239294738 1026945843861 1369261125148 1760478589476 2053891687722 3080837531583 4107783375444 6161675063166 12323350126332