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32123130141312 = 273276029660727
BaseRepresentation
bin1110100110111001111111…
…10000101101101010000000
311012201221102011121212121100
413103130333300231222000
513202301132304010222
6152153055014254400
76523551053002140
oct723347760555200
9135657364555540
1032123130141312
11a265385575501
123729817357400
1314c027650a0b2
147d0aa6b84920
153aa8e295b4ac
hex1d373fc2da80

32123130141312 has 192 divisors, whose sum is σ = 105660714556800. Its totient is φ = 9176500979712.

The previous prime is 32123130141257. The next prime is 32123130141481. The reversal of 32123130141312 is 21314103132123.

32123130141312 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 3 + 1 + 301 + 41 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48287493 + ... + 48948219.

It is an arithmetic number, because the mean of its divisors is an integer number (550316221650).

Almost surely, 232123130141312 is an apocalyptic number.

32123130141312 is a gapful number since it is divisible by the number (32) 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 32123130141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52830357278400).

32123130141312 is an abundant number, since it is smaller than the sum of its proper divisors (73537584415488).

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

32123130141312 is a wasteful number, since it uses less digits than its factorization.

32123130141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666783 (or 666768 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 32123130141312 its reverse (21314103132123), we get a palindrome (53437233273435).

The spelling of 32123130141312 in words is "thirty-two trillion, one hundred twenty-three billion, one hundred thirty million, one hundred forty-one thousand, three hundred twelve".