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20331331000002 = 232111674611333777
BaseRepresentation
bin1001001111101110000011…
…10000110001011011000010
32122222122201102012020112100
410213313001300301123002
510131102031214000002
6111124030131211230
74165614223035501
oct447670160613302
978878642166470
1020331331000002
116529518349370
122344421746b16
13b4630c1778a9
145040824b8838
15253ce7e3411c
hex127dc1c316c2

20331331000002 has 96 divisors (see below), whose sum is σ = 48448536200064. Its totient is φ = 6110828121600.

The previous prime is 20331330999977. The next prime is 20331331000111. The reversal of 20331331000002 is 20000013313302.

20331331000002 is a `hidden beast` number, since 2 + 0 + 331 + 331 + 0 + 0 + 0 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14576538 + ... + 15910314.

It is an arithmetic number, because the mean of its divisors is an integer number (504672252084).

Almost surely, 220331331000002 is an apocalyptic number.

20331331000002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20331331000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24224268100032).

20331331000002 is an abundant number, since it is smaller than the sum of its proper divisors (28117205200062).

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

20331331000002 is a wasteful number, since it uses less digits than its factorization.

20331331000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334424 (or 1334421 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20331331000002 its reverse (20000013313302), we get a palindrome (40331344313304).

The spelling of 20331331000002 in words is "twenty trillion, three hundred thirty-one billion, three hundred thirty-one million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 167 198 334 461 501 922 1002 1383 1503 1837 2766 3006 3674 4149 5071 5511 8298 10142 11022 15213 16533 30426 33066 45639 76987 91278 153974 230961 461922 692883 846857 1333777 1385766 1693714 2540571 2667554 4001331 5081142 7621713 8002662 12003993 14671547 15243426 24007986 29343094 44014641 88029282 132043923 222740759 264087846 445481518 614871197 668222277 1229742394 1336444554 1844613591 2004666831 2450148349 3689227182 4009333662 4900296698 5533840773 6763583167 7350445047 11067681546 13527166334 14700890094 20290749501 22051335141 40581499002 44102670282 60872248503 102683489899 121744497006 205366979798 308050469697 616100939394 924151409091 1129518388889 1848302818182 2259036777778 3388555166667 6777110333334 10165665500001 20331331000002