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30201200122120 = 2355310114218753
BaseRepresentation
bin1101101110111110000111…
…10011100001100100001000
310221221012120120012222000221
412313133003303201210020
512424304024212401440
6144122123444035424
76234651615250426
oct667370363414410
9127835516188027
1030201200122120
119694291141815
123479240992b74
1313b0c65296351
14765a629d0116
153759087aed4a
hex1b77c3ce1908

30201200122120 has 32 divisors (see below), whose sum is σ = 67953984741720. Its totient is φ = 12080251699200.

The previous prime is 30201200122103. The next prime is 30201200122321. The reversal of 30201200122120 is 2122100210203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28347893627076 + 1853306495044 = 5324274^2 + 1361362^2 .

It is a super-2 number, since 2×302012001221202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30201200122094 and 30201200122103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4985337 + ... + 9233416.

Almost surely, 230201200122120 is an apocalyptic number.

It is an amenable number.

30201200122120 is an abundant number, since it is smaller than the sum of its proper divisors (37752784619600).

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

30201200122120 is a wasteful number, since it uses less digits than its factorization.

30201200122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271865 (or 14271861 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 30201200122120 its reverse (2122100210203), we get a palindrome (32323300332323).

The spelling of 30201200122120 in words is "thirty trillion, two hundred one billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53101 106202 212404 265505 424808 531010 1062020 2124040 14218753 28437506 56875012 71093765 113750024 142187530 284375060 568750120 755030003053 1510060006106 3020120012212 3775150015265 6040240024424 7550300030530 15100600061060 30201200122120