Search a number
-
+
32023100000 = 25551791789
BaseRepresentation
bin11101110100101110…
…011011101001100000
310001122202010000211202
4131310232123221200
51011040403200000
622413342100332
72212363600403
oct356456335140
9101582100752
1032023100000
1112643229001
12625857a6a8
1330345698a8
14179add7d3a
15c76550dd5
hex774b9ba60

32023100000 has 144 divisors (see below), whose sum is σ = 79286331600. Its totient is φ = 12730560000.

The previous prime is 32023099957. The next prime is 32023100027. The reversal of 32023100000 is 132023.

It is a super-2 number, since 2×320231000002 (a number of 22 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17899106 + ... + 17900894.

It is an arithmetic number, because the mean of its divisors is an integer number (550599525).

Almost surely, 232023100000 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 32023100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39643165800).

32023100000 is an abundant number, since it is smaller than the sum of its proper divisors (47263231600).

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

32023100000 is an equidigital number, since it uses as much as digits as its factorization.

32023100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 32023100000 its reverse (132023), we get a palindrome (32023232023).

The spelling of 32023100000 in words is "thirty-two billion, twenty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 625 716 800 895 1000 1250 1432 1789 1790 2000 2500 2864 3125 3578 3580 4000 4475 5000 5728 6250 7156 7160 8945 8950 10000 12500 14312 14320 17890 17900 20000 22375 25000 28624 28640 35780 35800 44725 44750 50000 57248 71560 71600 89450 89500 100000 111875 143120 143200 178900 179000 223625 223750 286240 320231 357800 358000 447250 447500 559375 640462 715600 716000 894500 895000 1118125 1118750 1280924 1431200 1601155 1789000 1790000 2236250 2237500 2561848 3202310 3578000 3580000 4472500 4475000 5123696 5590625 6404620 7156000 8005775 8945000 8950000 10247392 11181250 12809240 16011550 17890000 17900000 22362500 25618480 32023100 35780000 40028875 44725000 51236960 64046200 80057750 89450000 128092400 160115500 178900000 200144375 256184800 320231000 400288750 640462000 800577500 1000721875 1280924000 1601155000 2001443750 3202310000 4002887500 6404620000 8005775000 16011550000 32023100000