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3310012020 = 2235765911959
BaseRepresentation
bin1100010101001010…
…1100011001110100
322112200101000212210
43011102230121310
523234330341040
61304241013420
7145011431550
oct30522543164
98480330783
103310012020
111449463027
12784624270
134099a94c3
14235864860
151458ce480
hexc54ac674

3310012020 has 96 divisors (see below), whose sum is σ = 10608998400. Its totient is φ = 755362944.

The previous prime is 3310012019. The next prime is 3310012033. The reversal of 3310012020 is 202100133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3310011987 and 3310012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270801 + ... + 282759.

It is an arithmetic number, because the mean of its divisors is an integer number (110510400).

Almost surely, 23310012020 is an apocalyptic number.

3310012020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3310012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304499200).

3310012020 is an abundant number, since it is smaller than the sum of its proper divisors (7298986380).

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

3310012020 is a wasteful number, since it uses less digits than its factorization.

3310012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3310012020 is about 57532.7039169897. The cubic root of 3310012020 is about 1490.3096844402.

Adding to 3310012020 its reverse (202100133), we get a palindrome (3512112153).

The spelling of 3310012020 in words is "three billion, three hundred ten million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 659 1318 1977 2636 3295 3954 4613 6590 7908 9226 9885 11959 13180 13839 18452 19770 23065 23918 27678 35877 39540 46130 47836 55356 59795 69195 71754 83713 92260 119590 138390 143508 167426 179385 239180 251139 276780 334852 358770 418565 502278 717540 837130 1004556 1255695 1674260 2511390 5022780 7880981 15761962 23642943 31523924 39404905 47285886 55166867 78809810 94571772 110333734 118214715 157619620 165500601 220667468 236429430 275834335 331001202 472858860 551668670 662002404 827503005 1103337340 1655006010 3310012020