Search a number
-
+
323123022100000 = 25553231230221
BaseRepresentation
bin100100101111000001111000…
…0111100110111011000100000
31120101002020222222110120022001
41021132003300330313120200
5314323021422124200000
63103120400032253344
7125026603465410463
oct11136036074673040
91511066888416261
10323123022100000
1193a587821a2861
12302a74a63a1254
1310b3b4a7554555
1459b134840d2da
15275528839b46a
hex125e0f0f37620

323123022100000 has 72 divisors (see below), whose sum is σ = 795134670569316. Its totient is φ = 129249208800000.

The previous prime is 323123022099949. The next prime is 323123022100069. The reversal of 323123022100000 is 1220321323.

It can be written as a sum of positive squares in 6 ways, for example, as 106587205995664 + 216535816104336 = 10324108^2 + 14715156^2 .

It is a super-2 number, since 2×3231230221000002 (a number of 30 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1615515111 + ... + 1615715110.

Almost surely, 2323123022100000 is an apocalyptic number.

It is an amenable number.

323123022100000 is an abundant number, since it is smaller than the sum of its proper divisors (472011648469316).

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

323123022100000 is an frugal number, since it uses more digits than its factorization.

323123022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231230256 (or 3231230228 counting only the distinct ones).

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

Adding to 323123022100000 its reverse (1220321323), we get a palindrome (323124242421323).

The spelling of 323123022100000 in words is "three hundred twenty-three trillion, one hundred twenty-three billion, twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 3231230221 6462460442 12924920884 16156151105 25849841768 32312302210 51699683536 64624604420 80780755525 103399367072 129249208840 161561511050 258498417680 323123022100 403903777625 516996835360 646246044200 807807555250 1292492088400 1615615110500 2019518888125 2584984176800 3231230221000 4039037776250 6462460442000 8078075552500 10097594440625 12924920884000 16156151105000 20195188881250 32312302210000 40390377762500 64624604420000 80780755525000 161561511050000 323123022100000