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30201200122113 = 323725214704793
BaseRepresentation
bin1101101110111110000111…
…10011100001100100000001
310221221012120120012222000200
412313133003303201210001
512424304024212401423
6144122123444035413
76234651615250416
oct667370363414401
9127835516188020
1030201200122113
119694291141809
123479240992b69
1313b0c65296347
14765a629d010d
153759087aed43
hex1b77c3ce1901

30201200122113 has 36 divisors (see below), whose sum is σ = 44920912042188. Its totient is φ = 19552362785280.

The previous prime is 30201200122103. The next prime is 30201200122321. The reversal of 30201200122113 is 31122100210203.

30201200122113 is a `hidden beast` number, since 30 + 201 + 200 + 1 + 221 + 13 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6202057294449 + 23999142827664 = 2490393^2 + 4898892^2 .

It is not a de Polignac number, because 30201200122113 - 222 = 30201195927809 is a prime.

It is a super-2 number, since 2×302012001221132 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30201200122103) 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 35 ways as a sum of consecutive naturals, for example, 4066845 + ... + 8771637.

It is an arithmetic number, because the mean of its divisors is an integer number (1247803112283).

Almost surely, 230201200122113 is an apocalyptic number.

It is an amenable number.

30201200122113 is a deficient number, since it is larger than the sum of its proper divisors (14719711920075).

30201200122113 is a wasteful number, since it uses less digits than its factorization.

30201200122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705394 (or 4705354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30201200122113 its reverse (31122100210203), we get a palindrome (61323300332316).

The spelling of 30201200122113 in words is "thirty trillion, two hundred one billion, two hundred million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 37 111 333 521 1369 1563 4107 4689 12321 19277 57831 173493 713249 2139747 4704793 6419241 14114379 42343137 174077341 522232023 1566696069 2451197153 6440861617 7353591459 19322584851 22060774377 57967754553 90694294661 272082883983 816248651949 3355688902457 10067066707371 30201200122113