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132040323252120 = 233517198873840601
BaseRepresentation
bin11110000001011100001000…
…100100000011111110011000
3122022111221011011011120210010
4132001130020210003332120
5114301322040223031440
61144454253114121520
736545412205202403
oct3601341044037630
9568457134146703
10132040323252120
1139087a94212168
12129863711202a0
13588a46cb4b34a
142486b00122d3a
15103ea12611580
hex781708903f98

132040323252120 has 256 divisors, whose sum is σ = 441994913049600. Its totient is φ = 31359943065600.

The previous prime is 132040323252119. The next prime is 132040323252161. The reversal of 132040323252120 is 21252323040231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32459820 + ... + 36300420.

It is an arithmetic number, because the mean of its divisors is an integer number (1726542629100).

Almost surely, 2132040323252120 is an apocalyptic number.

132040323252120 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 132040323252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220997456524800).

132040323252120 is an abundant number, since it is smaller than the sum of its proper divisors (309954589797480).

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

132040323252120 is a wasteful number, since it uses less digits than its factorization.

132040323252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841538 (or 3841534 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132040323252120 its reverse (21252323040231), we get a palindrome (153292646292351).

The spelling of 132040323252120 in words is "one hundred thirty-two trillion, forty billion, three hundred twenty-three million, two hundred fifty-two thousand, one hundred twenty".