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3133020220 = 22511293111579
BaseRepresentation
bin1011101010111110…
…0001100000111100
322002100022220202221
42322233201200330
522404023121340
61234515255124
7140432142511
oct27257414074
98070286687
103133020220
111368565510
127352aa4a4
133ac119925
1421a151308
151350bc44a
hexbabe183c

3133020220 has 96 divisors (see below), whose sum is σ = 7453555200. Its totient is φ = 1095763200.

The previous prime is 3133020203. The next prime is 3133020221. The reversal of 3133020220 is 220203313.

It is a junction number, because it is equal to n+sod(n) for n = 3133020194 and 3133020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133020221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1983391 + ... + 1984969.

It is an arithmetic number, because the mean of its divisors is an integer number (77641200).

Almost surely, 23133020220 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 3133020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726777600).

3133020220 is an abundant number, since it is smaller than the sum of its proper divisors (4320534980).

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

3133020220 is a wasteful number, since it uses less digits than its factorization.

3133020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3133020220 is about 55973.3884984642. The cubic root of 3133020220 is about 1463.2585348011.

Adding to 3133020220 its reverse (220203313), we get a palindrome (3353223533).

The spelling of 3133020220 in words is "three billion, one hundred thirty-three million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 311 319 580 622 638 1244 1276 1555 1579 1595 3110 3158 3190 3421 6220 6316 6380 6842 7895 9019 13684 15790 17105 17369 18038 31580 34210 34738 36076 45095 45791 68420 69476 86845 90190 91582 99209 173690 180380 183164 198418 228955 347380 396836 457910 491069 496045 503701 915820 982138 992090 1007402 1964276 1984180 2014804 2455345 2518505 4910690 5037010 5401759 9821380 10074020 10803518 14241001 21607036 27008795 28482002 54017590 56964004 71205005 108035180 142410010 156651011 284820020 313302022 626604044 783255055 1566510110 3133020220