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132113122012200 = 23352731455505241
BaseRepresentation
bin11110000010011111111011…
…101101010010110000101000
3122022202220001121212202201110
4132002133323231102300220
5114304020133213342300
61144551532544150320
736553600215354420
oct3602377355226050
9568686047782643
10132113122012200
113910595121509a
12129984a93083a0
1358942a207a744
14248a448719480
1510418737b4550
hex7827fbb52c28

132113122012200 has 96 divisors (see below), whose sum is σ = 468057918000960. Its totient is φ = 30197285030400.

The previous prime is 132113122012189. The next prime is 132113122012241. The reversal of 132113122012200 is 2210221311231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15727748421 + ... + 15727756820.

It is an arithmetic number, because the mean of its divisors is an integer number (4875603312510).

Almost surely, 2132113122012200 is an apocalyptic number.

132113122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113122012200 is an abundant number, since it is smaller than the sum of its proper divisors (335944795988760).

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

132113122012200 is a wasteful number, since it uses less digits than its factorization.

132113122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31455505267 (or 31455505258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132113122012200 its reverse (2210221311231), we get a palindrome (134323343323431).

The spelling of 132113122012200 in words is "one hundred thirty-two trillion, one hundred thirteen billion, one hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 31455505241 62911010482 94366515723 125822020964 157277526205 188733031446 220188536687 251644041928 314555052410 377466062892 440377073374 471832578615 629110104820 660565610061 754932125784 786387631025 880754146748 943665157230 1100942683435 1258220209640 1321131220122 1572775262050 1761508293496 1887330314460 2201885366870 2359162893075 2642262440244 3145550524100 3302828050305 3774660628920 4403770733740 4718325786150 5284524880488 5504713417175 6291101048200 6605656100610 8807541467480 9436651572300 11009426834350 13211312201220 16514140251525 18873303144600 22018853668700 26422624402440 33028280503050 44037707337400 66056561006100 132113122012200