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132211143104000 = 295319313507299
BaseRepresentation
bin11110000011111011001110…
…001110000101011000000000
3122100010021001212212011020212
4132003323032032011120000
5114312121410113312000
61145104543300253252
736563640243035312
oct3603731616053000
9570107055764225
10132211143104000
11391434815aa174
12129b34a43a1228
1358a05c38b918c
1424910a6a117b2
1510441ade05c35
hex783ece385600

132211143104000 has 320 divisors, whose sum is σ = 358222715136000. Its totient is φ = 48484887552000.

The previous prime is 132211143103999. The next prime is 132211143104059. The reversal of 132211143104000 is 401341112231.

132211143104000 is digitally balanced in base 3, 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 (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35942351 + ... + 39449649.

It is an arithmetic number, because the mean of its divisors is an integer number (1119445984800).

Almost surely, 2132211143104000 is an apocalyptic number.

132211143104000 is a gapful number since it is divisible by the number (10) 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 132211143104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179111357568000).

132211143104000 is an abundant number, since it is smaller than the sum of its proper divisors (226011572032000).

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

132211143104000 is an equidigital number, since it uses as much as digits as its factorization.

132211143104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507382 (or 3507356 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 132211143104000 its reverse (401341112231), we get a palindrome (132612484216231).

The spelling of 132211143104000 in words is "one hundred thirty-two trillion, two hundred eleven billion, one hundred forty-three million, one hundred four thousand".