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3132133100 = 2252234792843
BaseRepresentation
bin1011101010110000…
…1000111011101100
322002021122211212122
42322230020323230
522403311224400
61234444252112
7140421456245
oct27254107354
98067584778
103132133100
111368009a58
12734b41038
133abb98bc5
14219d9dccc
15134e94685
hexbab08eec

3132133100 has 72 divisors (see below), whose sum is σ = 7109544960. Its totient is φ = 1195458880.

The previous prime is 3132133099. The next prime is 3132133111. The reversal of 3132133100 is 13312313.

It is a super-2 number, since 2×31321331002 = 19620515512231220000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1100279 + ... + 1103121.

It is an arithmetic number, because the mean of its divisors is an integer number (98743680).

Almost surely, 23132133100 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 3132133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554772480).

3132133100 is an abundant number, since it is smaller than the sum of its proper divisors (3977411860).

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

3132133100 is a wasteful number, since it uses less digits than its factorization.

3132133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3132133100 is about 55965.4634573859. The cubic root of 3132133100 is about 1463.1204137168.

Adding to 3132133100 its reverse (13312313), we get a palindrome (3145445413).

The spelling of 3132133100 in words is "three billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 479 575 958 1150 1916 2300 2395 2843 4790 5686 9580 11017 11372 11975 14215 22034 23950 28430 44068 47900 55085 56860 65389 71075 110170 130778 142150 220340 261556 275425 284300 326945 550850 653890 1101700 1307780 1361797 1634725 2723594 3269450 5447188 6538900 6808985 13617970 27235940 31321331 34044925 62642662 68089850 125285324 136179700 156606655 313213310 626426620 783033275 1566066550 3132133100