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122113230230133 = 32233071921560217
BaseRepresentation
bin11011110000111110110011…
…101101011101001001110101
3121000100220120222021112222200
4123300332303231131021311
5112001200343414331013
61111414013222415113
734502250452600232
oct3360766355351165
9530326528245880
10122113230230133
11359aaa25a8588a
1211842441891499
13531a2c74823cc
142222451b1a789
15e1b6a30eae73
hex6f0fb3b5d275

122113230230133 has 24 divisors (see below), whose sum is σ = 184654250708928. Its totient is φ = 77615660244672.

The previous prime is 122113230230021. The next prime is 122113230230137. The reversal of 122113230230133 is 331032032311221.

122113230230133 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 323 + 0 + 2 + 301 + 33 = 666.

It is not a de Polignac number, because 122113230230133 - 29 = 122113230229621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122113230230097 and 122113230230106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113230230137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960716560 + ... + 960843657.

It is an arithmetic number, because the mean of its divisors is an integer number (7693927112872).

Almost surely, 2122113230230133 is an apocalyptic number.

It is an amenable number.

122113230230133 is a deficient number, since it is larger than the sum of its proper divisors (62541020478795).

122113230230133 is a wasteful number, since it uses less digits than its factorization.

122113230230133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921560553 (or 1921560550 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122113230230133 its reverse (331032032311221), we get a palindrome (453145262541354).

The spelling of 122113230230133 in words is "one hundred twenty-two trillion, one hundred thirteen billion, two hundred thirty million, two hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 23 69 207 307 921 2763 7061 21183 63549 1921560217 5764680651 17294041953 44195884991 132587654973 397762964919 589918986619 1769756959857 5309270879571 13568136692237 40704410076711 122113230230133