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320100420312 = 2332291100313933
BaseRepresentation
bin1001010100001110111…
…10001100101011011000
31010121020100102011202200
410222013132030223120
520221031201422222
6403015130530200
732061246452001
oct4520736145330
91117210364680
10320100420312
11113832384612
1252054b96960
132425426643a
14116c88c81a8
1584d7163eac
hex4a8778cad8

320100420312 has 96 divisors (see below), whose sum is σ = 896978955600. Its totient is φ = 103004068608.

The previous prime is 320100420281. The next prime is 320100420319. The reversal of 320100420312 is 213024001023.

320100420312 is a `hidden beast` number, since 320 + 10 + 0 + 4 + 20 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320100420319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22967298 + ... + 22981230.

Almost surely, 2320100420312 is an apocalyptic number.

It is an amenable number.

320100420312 is an abundant number, since it is smaller than the sum of its proper divisors (576878535288).

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

320100420312 is a wasteful number, since it uses less digits than its factorization.

320100420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24977 (or 24970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320100420312 its reverse (213024001023), we get a palindrome (533124421335).

The spelling of 320100420312 in words is "three hundred twenty billion, one hundred million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 11003 13933 22006 27866 33009 41799 44012 55732 66018 83598 88024 99027 111464 125397 132036 167196 198054 250794 264072 319087 334392 396108 404057 501588 638174 792216 808114 957261 1003176 1212171 1276348 1616228 1914522 2424342 2552696 2871783 3232456 3636513 3829044 4848684 5743566 7273026 7658088 9697368 11487132 14546052 22974264 29092104 153304799 306609598 459914397 613219196 919828794 1226438392 1379743191 1839657588 2759486382 3679315176 4445839171 5518972764 8891678342 11037945528 13337517513 17783356684 26675035026 35566713368 40012552539 53350070052 80025105078 106700140104 160050210156 320100420312