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3133421200 = 245271386083
BaseRepresentation
bin1011101011000100…
…0011011010010000
322002101002021211001
42322301003122100
522404123434300
61234532031344
7140435432530
oct27261033220
98071067731
103133421200
1113688097a8
12735462554
133ac22a2b0
1421a2174c0
1513514b16a
hexbac43690

3133421200 has 120 divisors (see below), whose sum is σ = 9265393088. Its totient is φ = 991664640.

The previous prime is 3133421171. The next prime is 3133421201. The reversal of 3133421200 is 21243313.

It is not an unprimeable number, because it can be changed into a prime (3133421201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6642 + ... + 79441.

Almost surely, 23133421200 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 3133421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632696544).

3133421200 is an abundant number, since it is smaller than the sum of its proper divisors (6131971888).

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

3133421200 is a wasteful number, since it uses less digits than its factorization.

3133421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86121 (or 86110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3133421200 is about 55976.9702645651. The cubic root of 3133421200 is about 1463.3209572493.

Adding to 3133421200 its reverse (21243313), we get a palindrome (3154664513).

The spelling of 3133421200 in words is "three billion, one hundred thirty-three million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 86083 172166 344332 430415 602581 688664 860830 1119079 1205162 1377328 1721660 2152075 2238158 2410324 3012905 3443320 4304150 4476316 4820648 5595395 6025810 6886640 7833553 8608300 8952632 9641296 11190790 12051620 15064525 15667106 17216600 17905264 22381580 24103240 27976975 30129050 31334212 34433200 39167765 44763160 48206480 55953950 60258100 62668424 78335530 89526320 111907900 120516200 125336848 156671060 195838825 223815800 241032400 313342120 391677650 447631600 626684240 783355300 1566710600 3133421200