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20121003320 = 23511107427379
BaseRepresentation
bin10010101111010011…
…100010010100111000
31220221021012212121012
4102233103202110320
5312201434101240
613124330533052
71311421464155
oct225723422470
956837185535
1020121003320
118595866670
123a96597188
131b88793432
14d8c3c322c
157cb6bdb65
hex4af4e2538

20121003320 has 64 divisors (see below), whose sum is σ = 49849603200. Its totient is φ = 7248330880.

The previous prime is 20121003311. The next prime is 20121003347. The reversal of 20121003320 is 2330012102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20121003295 and 20121003304.

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 15 ways as a sum of consecutive naturals, for example, 166610 + ... + 260769.

It is an arithmetic number, because the mean of its divisors is an integer number (778900050).

Almost surely, 220121003320 is an apocalyptic number.

20121003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121003320 is an abundant number, since it is smaller than the sum of its proper divisors (29728599880).

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

20121003320 is a wasteful number, since it uses less digits than its factorization.

20121003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427508 (or 427504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20121003320 its reverse (2330012102), we get a palindrome (22451015422).

The spelling of 20121003320 in words is "twenty billion, one hundred twenty-one million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 47080 427379 854758 1709516 2136895 3419032 4273790 4701169 8547580 9402338 17095160 18804676 23505845 37609352 45729553 47011690 91459106 94023380 182918212 188046760 228647765 365836424 457295530 503025083 914591060 1006050166 1829182120 2012100332 2515125415 4024200664 5030250830 10060501660 20121003320