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20322013312 = 271973114467
BaseRepresentation
bin10010111011010010…
…010101000010000000
31221110021110020110201
4102323102111002000
5313104413411222
613200311134544
71316412156136
oct227322250200
957407406421
1020322013312
118689279427
123b31974454
131bbb312363
14daad89756
157de177427
hex4bb495080

20322013312 has 64 divisors (see below), whose sum is σ = 43200223200. Its totient is φ = 9494267904.

The previous prime is 20322013307. The next prime is 20322013319. The reversal of 20322013312 is 21331022302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 20322013312.

It is not an unprimeable number, because it can be changed into a prime (20322013319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120303 + ... + 234769.

Almost surely, 220322013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600111600).

20322013312 is an abundant number, since it is smaller than the sum of its proper divisors (22878209888).

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

20322013312 is a wasteful number, since it uses less digits than its factorization.

20322013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114573 (or 114561 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20322013312 its reverse (21331022302), we get a palindrome (41653035614).

The spelling of 20322013312 in words is "twenty billion, three hundred twenty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 128 146 152 292 304 584 608 1168 1216 1387 2336 2432 2774 4672 5548 9344 11096 22192 44384 88768 114467 177536 228934 457868 915736 1831472 2174873 3662944 4349746 7325888 8356091 8699492 14651776 16712182 17398984 33424364 34797968 66848728 69595936 133697456 139191872 158765729 267394912 278383744 317531458 534789824 635062916 1069579648 1270125832 2540251664 5080503328 10161006656 20322013312