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121320330200100 = 223252134800366889
BaseRepresentation
bin11011100101011100010111…
…001011111000010000100100
3120220120002222101222122210200
4123211130113023320100210
5111400203014012400400
61110005442411150500
734361050610543133
oct3345342713702044
9526502871878720
10121320330200100
1135724732646669
1211734839145430
1352905c54418c5
1421d5d146d591a
15e05c482bdb00
hex6e57172f8424

121320330200100 has 54 divisors (see below), whose sum is σ = 380271834996690. Its totient is φ = 32352088053120.

The previous prime is 121320330199969. The next prime is 121320330200101. The reversal of 121320330200100 is 1002033023121.

121320330200100 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 0 + 330 + 200 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21781038344256 + 99539291855844 = 4667016^2 + 9976938^2 .

It is a super-2 number, since 2×1213203302001002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121320330200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67400182545 + ... + 67400184344.

Almost surely, 2121320330200100 is an apocalyptic number.

121320330200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121320330200100 is an abundant number, since it is smaller than the sum of its proper divisors (258951504796590).

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

121320330200100 is a wasteful number, since it uses less digits than its factorization.

121320330200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134800366909 (or 134800366899 counting only the distinct ones).

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

Adding to 121320330200100 its reverse (1002033023121), we get a palindrome (122322363223221).

The spelling of 121320330200100 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred thirty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 134800366889 269600733778 404401100667 539201467556 674001834445 808802201334 1213203302001 1348003668890 1617604402668 2022005503335 2426406604002 2696007337780 3370009172225 4044011006670 4852813208004 6066016510005 6740018344450 8088022013340 10110027516675 12132033020010 13480036688900 20220055033350 24264066040020 30330082550025 40440110066700 60660165100050 121320330200100