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12210013240133 = 1731157233633359
BaseRepresentation
bin1011000110101101110110…
…0000000111101101000101
31121020021011211001002110112
42301223131200013231011
53100022101342141013
641545111434402405
72400100340054312
oct261533540075505
947207154032415
1012210013240133
113988268183575
121452470890405
136a7526383807
14302d798abd09
151629254baba8
hexb1add807b45

12210013240133 has 32 divisors (see below), whose sum is σ = 13487953489920. Its totient is φ = 11002796513280.

The previous prime is 12210013240123. The next prime is 12210013240151. The reversal of 12210013240133 is 33104231001221.

12210013240133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210013240133 is a prime.

It is a super-2 number, since 2×122100132401332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210013240099 and 12210013240108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210013240123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18961508 + ... + 19594866.

It is an arithmetic number, because the mean of its divisors is an integer number (421498546560).

Almost surely, 212210013240133 is an apocalyptic number.

It is an amenable number.

12210013240133 is a deficient number, since it is larger than the sum of its proper divisors (1277940249787).

12210013240133 is a wasteful number, since it uses less digits than its factorization.

12210013240133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633797.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12210013240133 its reverse (33104231001221), we get a palindrome (45314244241354).

The spelling of 12210013240133 in words is "twelve trillion, two hundred ten billion, thirteen million, two hundred forty thousand, one hundred thirty-three".

Divisors: 1 17 31 157 233 527 2669 3961 4867 7223 36581 82739 122791 621877 633359 1134011 10767103 19278187 19634129 99437363 147572647 333780193 1690435171 2508734999 3082558253 4574752057 23168905579 52403490301 77770784969 393871394843 718236072949 12210013240133