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132303022111200 = 25352829132750111
BaseRepresentation
bin11110000101010000110010…
…101000101011100111100000
3122100110001020002102022200110
4132011100302220223213200
5114320123042130024300
61145215100322251320
736603402136516053
oct3605206250534740
9570401202368613
10132303022111200
113917943a938176
1212a092664b6b40
1358a9176aa1a25
1424957012b0a9a
15104678a1e5550
hex785432a2b9e0

132303022111200 has 288 divisors, whose sum is σ = 431499342274560. Its totient is φ = 35210990131200.

The previous prime is 132303022111181. The next prime is 132303022111217. The reversal of 132303022111200 is 2111220303231.

It is a super-2 number, since 2×1323030221112002 (a number of 29 digits) contains 22 as substring.

It is a congruent 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, 2640174145 + ... + 2640224255.

It is an arithmetic number, because the mean of its divisors is an integer number (1498261605120).

Almost surely, 2132303022111200 is an apocalyptic number.

132303022111200 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 132303022111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215749671137280).

132303022111200 is an abundant number, since it is smaller than the sum of its proper divisors (299196320163360).

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

132303022111200 is a wasteful number, since it uses less digits than its factorization.

132303022111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52290 (or 52277 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132303022111200 its reverse (2111220303231), we get a palindrome (134414242414431).

The spelling of 132303022111200 in words is "one hundred thirty-two trillion, three hundred three billion, twenty-two million, one hundred eleven thousand, two hundred".