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3133131012 = 2232111512347
BaseRepresentation
bin1011101010111111…
…1100100100000100
322002100112112202100
42322233330210010
522404040143022
61234521512100
7140433113514
oct27257744404
98070475670
103133131012
111368630780
12735342630
133ac15819b
1421a17d844
151350e01ac
hexbabfc904

3133131012 has 108 divisors (see below), whose sum is σ = 8722507248. Its totient is φ = 940428000.

The previous prime is 3133131011. The next prime is 3133131013. The reversal of 3133131012 is 2101313313.

It is a happy number.

3133131012 is a `hidden beast` number, since 313 + 31 + 310 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3133131011) and next prime (3133131013).

It is a super-2 number, since 2×31331310122 = 19633019876712288288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3133131011) 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 35 ways as a sum of consecutive naturals, for example, 9029023 + ... + 9029369.

It is an arithmetic number, because the mean of its divisors is an integer number (80763956).

Almost surely, 23133131012 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 3133131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361253624).

3133131012 is an abundant number, since it is smaller than the sum of its proper divisors (5589376236).

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

3133131012 is a wasteful number, since it uses less digits than its factorization.

3133131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3133131012 is about 55974.3781743040. The cubic root of 3133131012 is about 1463.2757828469.

Adding to 3133131012 its reverse (2101313313), we get a palindrome (5234444325).

The spelling of 3133131012 in words is "three billion, one hundred thirty-three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 347 396 453 604 694 906 1041 1359 1388 1661 1812 2082 2718 3123 3322 3817 4164 4983 5436 6246 6644 7634 9966 11451 12492 14949 15268 19932 22801 22902 29898 34353 45602 45804 52397 59796 68403 68706 91204 104794 136806 137412 157191 205209 209588 250811 273612 314382 410418 471573 501622 576367 628764 752433 820836 943146 1003244 1152734 1504866 1729101 1886292 2257299 2305468 3009732 3458202 4514598 5187303 6916404 7911947 9029196 10374606 15823894 20749212 23735841 31647788 47471682 71207523 87031417 94943364 142415046 174062834 261094251 284830092 348125668 522188502 783282753 1044377004 1566565506 3133131012