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132214500320300 = 2252293147225113901
BaseRepresentation
bin11110000011111110010110…
…010100110110010000101100
3122100010120201212001102020022
4132003332112110312100230
5114312200244040222200
61145110300345141312
736564116366642036
oct3603762624662054
9570116655042208
10132214500320300
11391449446734a2
12129b408078a838
1358a0a0a2b23b8
142491304842c56
151044308a0b885
hex783f9653642c

132214500320300 has 288 divisors, whose sum is σ = 313053003325440. Its totient is φ = 48338640000000.

The previous prime is 132214500320299. The next prime is 132214500320333. The reversal of 132214500320300 is 3023005412231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132214500320300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9511143350 + ... + 9511157250.

It is an arithmetic number, because the mean of its divisors is an integer number (1086989594880).

Almost surely, 2132214500320300 is an apocalyptic number.

132214500320300 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 132214500320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156526501662720).

132214500320300 is an abundant number, since it is smaller than the sum of its proper divisors (180838503005140).

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

132214500320300 is a wasteful number, since it uses less digits than its factorization.

132214500320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273 (or 16266 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 132214500320300 its reverse (3023005412231), we get a palindrome (135237505732531).

The spelling of 132214500320300 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred million, three hundred twenty thousand, three hundred".