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132202223330000 = 2454431061289771
BaseRepresentation
bin11110000011110010111010…
…100011110110001011010000
3122100002102001020201200121212
4132003302322203312023100
5114312000123133030000
61145100510222435252
736563203223151305
oct3603627243661320
9570072036650555
10132202223330000
113913a714623a1a
12129b1815132b28
13589c8019480b5
14249089c1210ac
151043d3acc4c35
hex783cba8f62d0

132202223330000 has 200 divisors, whose sum is σ = 327828222713376. Its totient is φ = 51602241600000.

The previous prime is 132202223329997. The next prime is 132202223330041. The reversal of 132202223330000 is 33322202231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 456085115 + ... + 456374885.

Almost surely, 2132202223330000 is an apocalyptic number.

132202223330000 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 132202223330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163914111356688).

132202223330000 is an abundant number, since it is smaller than the sum of its proper divisors (195625999383376).

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

132202223330000 is a wasteful number, since it uses less digits than its factorization.

132202223330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290903 (or 290882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 132202223330000 its reverse (33322202231), we get a palindrome (132235545532231).

The spelling of 132202223330000 in words is "one hundred thirty-two trillion, two hundred two billion, two hundred twenty-three million, three hundred thirty thousand".