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322113142000 = 24531312388967
BaseRepresentation
bin1001010111111110111…
…00000111110011110000
31010210102121201000212101
410223333130013303300
520234141431021000
6403550550310144
732162156350156
oct4537734076360
91123377630771
10322113142000
11114675520171
1252517058354
13244b5246110
1411839d353d6
1585a3bdae6a
hex4aff707cf0

322113142000 has 80 divisors (see below), whose sum is σ = 838782689472. Its totient is φ = 118934073600.

The previous prime is 322113141949. The next prime is 322113142019. The reversal of 322113142000 is 241311223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3221131420002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6168484 + ... + 6220483.

Almost surely, 2322113142000 is an apocalyptic number.

It is an amenable number.

322113142000 is an abundant number, since it is smaller than the sum of its proper divisors (516669547472).

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

322113142000 is a wasteful number, since it uses less digits than its factorization.

322113142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12389003 (or 12388987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 322113142000 its reverse (241311223), we get a palindrome (322354453223).

The spelling of 322113142000 in words is "three hundred twenty-two billion, one hundred thirteen million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 12388967 24777934 49555868 61944835 99111736 123889670 161056571 198223472 247779340 309724175 322113142 495558680 619448350 644226284 805282855 991117360 1238896700 1288452568 1548620875 1610565710 2477793400 2576905136 3097241750 3221131420 4026414275 4955586800 6194483500 6442262840 8052828550 12388967000 12884525680 16105657100 20132071375 24777934000 32211314200 40264142750 64422628400 80528285500 161056571000 322113142000