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3133332020 = 2257136772543
BaseRepresentation
bin1011101011000010…
…1101101000110100
322002100220202111002
42322300231220310
522404113111040
61234530102432
7140434611530
oct27260555064
98070822432
103133332020
1113687587a5
1273541aa18
133ac1c8820
1421a1d2bc0
1513512ea15
hexbac2da34

3133332020 has 96 divisors (see below), whose sum is σ = 8113609728. Its totient is φ = 989793792.

The previous prime is 3133332019. The next prime is 3133332031. The reversal of 3133332020 is 202333313.

3133332020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3133331983 and 3133332001.

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, 1230869 + ... + 1233411.

It is an arithmetic number, because the mean of its divisors is an integer number (84516768).

Almost surely, 23133332020 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 3133332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056804864).

3133332020 is an abundant number, since it is smaller than the sum of its proper divisors (4980277708).

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

3133332020 is a wasteful number, since it uses less digits than its factorization.

3133332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3133332020 is about 55976.1736813084. The cubic root of 3133332020 is about 1463.3070746385.

Adding to 3133332020 its reverse (202333313), we get a palindrome (3335665333).

It can be divided in two parts, 313 and 3332020, that added together give a palindrome (3332333).

The spelling of 3133332020 in words is "three billion, one hundred thirty-three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 677 910 1354 1820 2543 2708 3385 4739 5086 6770 8801 9478 10172 12715 13540 17602 17801 18956 23695 25430 33059 35204 35602 44005 47390 50860 61607 66118 71204 88010 89005 94780 123214 132236 165295 176020 178010 231413 246428 308035 330590 356020 462826 616070 661180 925652 1157065 1232140 1721611 2314130 3443222 4628260 6886444 8608055 12051277 17216110 22380943 24102554 34432220 44761886 48205108 60256385 89523772 111904715 120512770 156666601 223809430 241025540 313333202 447618860 626666404 783333005 1566666010 3133332020