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20321221122 = 2323171512929
BaseRepresentation
bin10010111011001111…
…010011101000000010
31221110012221222210100
4102323033103220002
5313104213033442
613200242143230
71316402346426
oct227317235002
957405858710
1020321221122
118688888224
123b31651b16
131bbb0c58c7
14daac20b86
157de06c84c
hex4bb3d3a02

20321221122 has 48 divisors (see below), whose sum is σ = 46089838080. Its totient is φ = 6462892800.

The previous prime is 20321221121. The next prime is 20321221147. The reversal of 20321221122 is 22112212302.

20321221122 is a `hidden beast` number, since 2 + 0 + 321 + 221 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20321221095 and 20321221104.

It is not an unprimeable number, because it can be changed into a prime (20321221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216847 + ... + 296082.

It is an arithmetic number, because the mean of its divisors is an integer number (960204960).

Almost surely, 220321221122 is an apocalyptic number.

20321221122 is an abundant number, since it is smaller than the sum of its proper divisors (25768616958).

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

20321221122 is a wasteful number, since it uses less digits than its factorization.

20321221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513039 (or 513036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20321221122 its reverse (22112212302), we get a palindrome (42433433424).

The spelling of 20321221122 in words is "twenty billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 426 558 639 1278 2201 4402 6603 13206 19809 39618 512929 1025858 1538787 3077574 4616361 9232722 15900799 31801598 36417959 47702397 72835918 95404794 109253877 143107191 218507754 286214382 327761631 655523262 1128956729 2257913458 3386870187 6773740374 10160610561 20321221122