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20330000012 = 22723316715199
BaseRepresentation
bin10010111011110000…
…110010111010001100
31221110211111000011102
4102323300302322030
5313113440000022
613201154242232
71316540102030
oct227360627214
957424430142
1020330000012
118692833a03
123b34586378
131bbcb7a70a
14dac0681c0
157dec03a92
hex4bbc32e8c

20330000012 has 96 divisors (see below), whose sum is σ = 44453068800. Its totient is φ = 7944298560.

The previous prime is 20330000011. The next prime is 20330000051. The reversal of 20330000012 is 21000003302.

It is a junction number, because it is equal to n+sod(n) for n = 20329999948 and 20330000002.

It is not an unprimeable number, because it can be changed into a prime (20330000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329989 + ... + 1345187.

It is an arithmetic number, because the mean of its divisors is an integer number (463052800).

Almost surely, 220330000012 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 20330000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226534400).

20330000012 is an abundant number, since it is smaller than the sum of its proper divisors (24123068788).

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

20330000012 is a wasteful number, since it uses less digits than its factorization.

20330000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331 (or 15329 counting only the distinct ones).

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

Adding to 20330000012 its reverse (21000003302), we get a palindrome (41330003314).

The spelling of 20330000012 in words is "twenty billion, three hundred thirty million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 23 28 31 46 62 67 92 124 134 161 217 268 322 434 469 644 713 868 938 1426 1541 1876 2077 2852 3082 4154 4991 6164 8308 9982 10787 14539 15199 19964 21574 29078 30398 43148 47771 58156 60796 95542 106393 191084 212786 334397 349577 425572 471169 668794 699154 942338 1018333 1337588 1398308 1884676 2036666 2447039 3298183 4073332 4894078 6596366 7128331 9788156 10836887 13192732 14256662 21673774 23421659 28513324 31568323 43347548 46843318 63136646 75858209 93686636 126273292 151716418 163951613 220978261 303432836 327903226 441956522 655806452 726071429 883913044 1452142858 2904285716 5082500003 10165000006 20330000012