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132301021320 = 233251322174573
BaseRepresentation
bin111101100110111000…
…0010110000010001000
3110122111021201020110200
41323031300112002020
54131423030140240
6140440034012200
712362354061216
oct1731560260210
9418437636420
10132301021320
1151121528546
1221783417060
13c625816800
146590d21cb6
153694d87930
hex1ecdc16088

132301021320 has 144 divisors (see below), whose sum is σ = 465598039140. Its totient is φ = 32566390272.

The previous prime is 132301021313. The next prime is 132301021361. The reversal of 132301021320 is 23120103231.

132301021320 is a `hidden beast` number, since 1 + 323 + 0 + 1 + 0 + 21 + 320 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14971480164 + 117329541156 = 122358^2 + 342534^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132301021293 and 132301021302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1026447 + ... + 1148126.

Almost surely, 2132301021320 is an apocalyptic number.

132301021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132301021320 is an abundant number, since it is smaller than the sum of its proper divisors (333297017820).

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

132301021320 is a wasteful number, since it uses less digits than its factorization.

132301021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174616 (or 2174596 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132301021320 its reverse (23120103231), we get a palindrome (155421124551).

The spelling of 132301021320 in words is "one hundred thirty-two billion, three hundred one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 4056 4680 5070 6084 6760 7605 10140 12168 15210 20280 30420 60840 2174573 4349146 6523719 8698292 10872865 13047438 17396584 19571157 21745730 26094876 28269449 32618595 39142314 43491460 52189752 56538898 65237190 78284628 84808347 86982920 97855785 113077796 130474380 141347245 156569256 169616694 195711570 226155592 254425041 260948760 282694490 339233388 367502837 391423140 424041735 508850082 565388980 678466776 735005674 782846280 848083470 1017700164 1102508511 1130777960 1272125205 1470011348 1696166940 1837514185 2035400328 2205017022 2544250410 2940022696 3307525533 3392333880 3675028370 4410034044 5088500820 5512542555 6615051066 7350056740 8820068088 10177001640 11025085110 13230102132 14700113480 16537627665 22050170220 26460204264 33075255330 44100340440 66150510660 132301021320