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320131331000 = 23531397253871
BaseRepresentation
bin1001010100010010101…
…00000111001110111000
31010121022111120121020222
410222021110013032320
520221112110043000
6403022153235212
732062103262425
oct4521124071670
91117274517228
10320131331000
11113848877238
1252063402b08
132425a799aa0
14116cca52d4c
1584d9c1ca85
hex4a895073b8

320131331000 has 128 divisors (see below), whose sum is σ = 815050978560. Its totient is φ = 116983296000.

The previous prime is 320131330973. The next prime is 320131331083. The reversal of 320131331000 is 133131023.

It is a super-2 number, since 2×3201313310002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320131331000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1134065 + ... + 1387935.

It is an arithmetic number, because the mean of its divisors is an integer number (6367585770).

Almost surely, 2320131331000 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 320131331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407525489280).

320131331000 is an abundant number, since it is smaller than the sum of its proper divisors (494919647560).

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

320131331000 is a wasteful number, since it uses less digits than its factorization.

320131331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254002 (or 253988 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 320131331000 its reverse (133131023), we get a palindrome (320264462023).

The spelling of 320131331000 in words is "three hundred twenty billion, one hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 97 100 104 125 130 194 200 250 260 325 388 485 500 520 650 776 970 1000 1261 1300 1625 1940 2425 2522 2600 3250 3880 4850 5044 6305 6500 9700 10088 12125 12610 13000 19400 24250 25220 31525 48500 50440 63050 97000 126100 157625 252200 253871 315250 507742 630500 1015484 1261000 1269355 2030968 2538710 3300323 5077420 6346775 6600646 10154840 12693550 13201292 16501615 24625487 25387100 26402584 31733875 33003230 49250974 50774200 63467750 66006460 82508075 98501948 123127435 126935500 132012920 165016150 197003896 246254870 253871000 320131331 330032300 412540375 492509740 615637175 640262662 660064600 825080750 985019480 1231274350 1280525324 1600656655 1650161500 2462548700 2561050648 3078185875 3201313310 3300323000 4925097400 6156371750 6402626620 8003283275 12312743500 12805253240 16006566550 24625487000 32013133100 40016416375 64026266200 80032832750 160065665500 320131331000