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132220303414600 = 235229167439310949
BaseRepresentation
bin11110000100000011110000…
…001101111001010101001000
3122100011010201021121011001211
4132010003300031321111020
5114312244140133231400
61145113100245422504
736564413243301232
oct3604036015712510
9570133637534054
10132220303414600
11391473523350a5
12129b522010aa34
1358a14236383cb
1424916d5437252
1510445481ebdba
hex7840f0379548

132220303414600 has 192 divisors, whose sum is σ = 320646664800000. Its totient is φ = 50642832092160.

The previous prime is 132220303414579. The next prime is 132220303414657. The reversal of 132220303414600 is 6414303022231.

It is a happy 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, 425059926 + ... + 425370874.

It is an arithmetic number, because the mean of its divisors is an integer number (1670034712500).

Almost surely, 2132220303414600 is an apocalyptic number.

132220303414600 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 132220303414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160323332400000).

132220303414600 is an abundant number, since it is smaller than the sum of its proper divisors (188426361385400).

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

132220303414600 is a wasteful number, since it uses less digits than its factorization.

132220303414600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311600 (or 311591 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 132220303414600 its reverse (6414303022231), we get a palindrome (138634606436831).

The spelling of 132220303414600 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred three million, four hundred fourteen thousand, six hundred".