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132300424530 = 232531211224737
BaseRepresentation
bin111101100110110111…
…0000100010101010010
3110122111020120220211100
41323031232010111102
54131422402041110
6140440013125230
712362346024261
oct1731556042522
9418436526740
10132300424530
115112116012a
1221783189816
13c625667c91
146590c085d8
153694cbabc0
hex1ecdb84552

132300424530 has 96 divisors (see below), whose sum is σ = 356761686528. Its totient is φ = 33980083200.

The previous prime is 132300424517. The next prime is 132300424547. The reversal of 132300424530 is 35424003231.

132300424530 is a `hidden beast` number, since 1 + 3 + 230 + 0 + 424 + 5 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132300424494 and 132300424503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476322 + ... + 701058.

It is an arithmetic number, because the mean of its divisors is an integer number (3716267568).

Almost surely, 2132300424530 is an apocalyptic number.

132300424530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132300424530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178380843264).

132300424530 is an abundant number, since it is smaller than the sum of its proper divisors (224461261998).

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

132300424530 is a wasteful number, since it uses less digits than its factorization.

132300424530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224992 (or 224989 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 132300424530 its reverse (35424003231), we get a palindrome (167724427761).

The spelling of 132300424530 in words is "one hundred thirty-two billion, three hundred million, four hundred twenty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 211 279 310 422 465 558 633 930 1055 1266 1395 1899 2110 2790 3165 3798 6330 6541 9495 13082 18990 19623 32705 39246 58869 65410 98115 117738 196230 224737 294345 449474 588690 674211 1123685 1348422 2022633 2247370 3371055 4045266 6742110 6966847 10113165 13933694 20226330 20900541 34834235 41801082 47419507 62701623 69668470 94839014 104502705 125403246 142258521 209005410 237097535 284517042 313508115 426775563 474195070 627016230 711292605 853551126 1422585210 1470004717 2133877815 2940009434 4267755630 4410014151 7350023585 8820028302 13230042453 14700047170 22050070755 26460084906 44100141510 66150212265 132300424530