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3133221320 = 235731318191
BaseRepresentation
bin1011101011000001…
…0010100111001000
322002100201010122002
42322300102213020
522404101040240
61234523450132
7140433641015
oct27260224710
98070633562
103133221320
111368692609
12735386948
133ac18a318
1421a1a470c
1513510bd15
hexbac129c8

3133221320 has 64 divisors (see below), whose sum is σ = 7201751040. Its totient is φ = 1226534400.

The previous prime is 3133221313. The next prime is 3133221323. The reversal of 3133221320 is 231223313.

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 = 3133221292 and 3133221301.

It is not an unprimeable number, because it can be changed into a prime (3133221323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378425 + ... + 386615.

It is an arithmetic number, because the mean of its divisors is an integer number (112527360).

Almost surely, 23133221320 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 3133221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600875520).

3133221320 is an abundant number, since it is smaller than the sum of its proper divisors (4068529720).

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

3133221320 is a wasteful number, since it uses less digits than its factorization.

3133221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3133221320 is about 55975.1848590069. The cubic root of 3133221320 is about 1463.2898416525.

Adding to 3133221320 its reverse (231223313), we get a palindrome (3364444633).

The spelling of 3133221320 in words is "three billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 131 146 262 292 365 524 584 655 730 1048 1310 1460 2620 2920 5240 8191 9563 16382 19126 32764 38252 40955 47815 65528 76504 81910 95630 163820 191260 327640 382520 597943 1073021 1195886 2146042 2391772 2989715 4292084 4783544 5365105 5979430 8584168 10730210 11958860 21460420 23917720 42920840 78330533 156661066 313322132 391652665 626644264 783305330 1566610660 3133221320