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3313312020 = 2233510615783
BaseRepresentation
bin1100010101111101…
…0010000100010100
322112220120200122000
43011133102010110
523241201441040
61304435435300
7145051454544
oct30537220424
98486520560
103313312020
1114503073a7
12785755b30
1340a593575
14236083324
15145d32130
hexc57d2114

3313312020 has 96 divisors (see below), whose sum is σ = 10319581440. Its totient is φ = 882564480.

The previous prime is 3313311997. The next prime is 3313312033. The reversal of 3313312020 is 202133133.

3313312020 is a `hidden beast` number, since 331 + 3 + 312 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3313311984 and 3313312002.

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, 570049 + ... + 575831.

It is an arithmetic number, because the mean of its divisors is an integer number (107495640).

Almost surely, 23313312020 is an apocalyptic number.

3313312020 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 3313312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159790720).

3313312020 is an abundant number, since it is smaller than the sum of its proper divisors (7006269420).

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

3313312020 is a wasteful number, since it uses less digits than its factorization.

3313312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6854 counting only the distinct ones).

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

The square root of 3313312020 is about 57561.3761128068. The cubic root of 3313312020 is about 1490.8047872225.

Adding to 3313312020 its reverse (202133133), we get a palindrome (3515445153).

It can be divided in two parts, 33 and 13312020, that added together give a cube (13312053 = 2373).

The spelling of 3313312020 in words is "three billion, three hundred thirteen million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1061 2122 3183 4244 5305 5783 6366 9549 10610 11566 12732 15915 17349 19098 21220 23132 28647 28915 31830 34698 38196 47745 52047 57294 57830 63660 69396 86745 95490 104094 114588 115660 143235 156141 173490 190980 208188 260235 286470 312282 346980 520470 572940 624564 780705 1040940 1561410 3122820 6135763 12271526 18407289 24543052 30678815 36814578 55221867 61357630 73629156 92036445 110443734 122715260 165665601 184072890 220887468 276109335 331331202 368145780 552218670 662662404 828328005 1104437340 1656656010 3313312020