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132211300300020 = 223257310061742793
BaseRepresentation
bin11110000011111011010111…
…100101101111010011110100
3122100010021110211122112122200
4132003323113211233103310
5114312122220334100040
61145105011033424500
736563644162135614
oct3603732745572364
9570107424575580
10132211300300020
1139143552306937
12129b3528b6b130
1358a061a337586
1424910bd850a44
1510441bcb07630
hex783ed796f4f4

132211300300020 has 72 divisors (see below), whose sum is σ = 406534655848776. Its totient is φ = 34773383089152.

The previous prime is 132211300299863. The next prime is 132211300300031. The reversal of 132211300300020 is 20003003112231.

132211300300020 is a `hidden beast` number, since 1 + 32 + 2 + 11 + 300 + 300 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41229806049936 + 90981494250084 = 6421044^2 + 9538422^2 .

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 = 132211300299966 and 132211300300002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5030858257 + ... + 5030884536.

Almost surely, 2132211300300020 is an apocalyptic number.

132211300300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132211300300020 is an abundant number, since it is smaller than the sum of its proper divisors (274323355548756).

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

132211300300020 is a wasteful number, since it uses less digits than its factorization.

132211300300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061742881 (or 10061742876 counting only the distinct ones).

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

Adding to 132211300300020 its reverse (20003003112231), we get a palindrome (152214303412251).

The spelling of 132211300300020 in words is "one hundred thirty-two trillion, two hundred eleven billion, three hundred million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 10061742793 20123485586 30185228379 40246971172 50308713965 60370456758 90555685137 100617427930 120740913516 150926141895 181111370274 201234855860 301852283790 362222740548 452778425685 603704567580 734507223889 905556851370 1469014447778 1811113702740 2203521671667 2938028895556 3672536119445 4407043343334 6610565015001 7345072238890 8814086686668 11017608358335 13221130030002 14690144477780 22035216716670 26442260060004 33052825075005 44070433433340 66105650150010 132211300300020