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12131311332200 = 2352193314282677
BaseRepresentation
bin1011000010001000101010…
…0000001010101101101000
31120221202000221111221000112
42300202022200022231220
53042224411200112300
641445014131353452
72361313126635554
oct260421240125550
946852027457015
1012131311332200
113957950a91255
12143b167752888
1369cc93169418
142dd2312b8864
1516086ae61e35
hexb088a80ab68

12131311332200 has 48 divisors (see below), whose sum is σ = 28351440382380. Its totient is φ = 4827381903360.

The previous prime is 12131311332137. The next prime is 12131311332311. The reversal of 12131311332200 is 223311313121.

It can be written as a sum of positive squares in 6 ways, for example, as 5493464066596 + 6637847265604 = 2343814^2 + 2576402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157102739 + ... + 157179938.

Almost surely, 212131311332200 is an apocalyptic number.

12131311332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131311332200 is an abundant number, since it is smaller than the sum of its proper divisors (16220129050180).

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

12131311332200 is a wasteful number, since it uses less digits than its factorization.

12131311332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314282886 (or 314282877 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12131311332200 its reverse (223311313121), we get a palindrome (12354622645321).

The spelling of 12131311332200 in words is "twelve trillion, one hundred thirty-one billion, three hundred eleven million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 3860 4825 7720 9650 19300 38600 314282677 628565354 1257130708 1571413385 2514261416 3142826770 6285653540 7857066925 12571307080 15714133850 31428267700 60656556661 62856535400 121313113322 242626226644 303282783305 485252453288 606565566610 1213131133220 1516413916525 2426262266440 3032827833050 6065655666100 12131311332200