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320130132 = 2237441271
BaseRepresentation
bin10011000101001…
…100110001010100
3211022101021222120
4103011030301110
51123423131012
651433255540
710635030000
oct2305146124
9738337876
10320130132
11154783563
128b2645b0
135142851a
1430733700
151d18858c
hex1314cc54

320130132 has 120 divisors (see below), whose sum is σ = 895961472. Its totient is φ = 88905600.

The previous prime is 320130131. The next prime is 320130133. The reversal of 320130132 is 231031023.

It is an interprime number because it is at equal distance from previous prime (320130131) and next prime (320130133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1181157 + ... + 1181427.

Almost surely, 2320130132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447980736).

320130132 is an abundant number, since it is smaller than the sum of its proper divisors (575831340).

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

320130132 is a wasteful number, since it uses less digits than its factorization.

320130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 320130132 is about 17892.1807502607. The cubic root of 320130132 is about 684.0830838510.

Adding to 320130132 its reverse (231031023), we get a palindrome (551161155).

It can be divided in two parts, 3201 and 30132, that added together give a palindrome (33333).

The spelling of 320130132 in words is "three hundred twenty million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 271 287 294 343 492 542 574 588 686 813 861 1029 1084 1148 1372 1626 1722 1897 2009 2058 2401 3252 3444 3794 4018 4116 4802 5691 6027 7203 7588 8036 9604 11111 11382 12054 13279 14063 14406 22222 22764 24108 26558 28126 28812 33333 39837 42189 44444 53116 56252 66666 77777 79674 84378 92953 98441 133332 155554 159348 168756 185906 196882 233331 278859 295323 311108 371812 393764 466662 544439 557718 590646 650671 933324 1088878 1115436 1181292 1301342 1633317 1952013 2177756 2602684 3266634 3811073 3904026 6533268 7622146 7808052 11433219 15244292 22866438 26677511 45732876 53355022 80032533 106710044 160065066 320130132