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132212120300 = 225213364327917
BaseRepresentation
bin111101100100001110…
…1001101101011101100
3110122021002102121012022
41323020131031223230
54131232300322200
6140423140325312
712360224323451
oct1731035155354
9418232377168
10132212120300
1151086327927
12217596a3838
13c61028ab60
1465831bd828
15368c176885
hex1ec874daec

132212120300 has 72 divisors (see below), whose sum is σ = 309065437296. Its totient is φ = 48801634560.

The previous prime is 132212120291. The next prime is 132212120309. The reversal of 132212120300 is 3021212231.

It is an interprime number because it is at equal distance from previous prime (132212120291) and next prime (132212120309).

It is not an unprimeable number, because it can be changed into a prime (132212120309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4721942 + ... + 4749858.

It is an arithmetic number, because the mean of its divisors is an integer number (4292575518).

Almost surely, 2132212120300 is an apocalyptic number.

132212120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212120300 is an abundant number, since it is smaller than the sum of its proper divisors (176853316996).

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

132212120300 is a wasteful number, since it uses less digits than its factorization.

132212120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31587 (or 31580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 132212120300 its reverse (3021212231), we get a palindrome (135233332531).

The spelling of 132212120300 in words is "one hundred thirty-two billion, two hundred twelve million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 3643 7286 14572 18215 27917 36430 47359 55834 72860 91075 94718 111668 139585 182150 189436 236795 279170 362921 364300 473590 558340 697925 725842 947180 1183975 1395850 1451684 1814605 2367950 2791700 3629210 4735900 7258420 9073025 18146050 36292100 101701631 203403262 406806524 508508155 1017016310 1322121203 2034032620 2542540775 2644242406 5085081550 5288484812 6610606015 10170163100 13221212030 26442424060 33053030075 66106060150 132212120300