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3133002320 = 245773173443
BaseRepresentation
bin1011101010111101…
…1101001001010000
322002100022000012222
42322233131021100
522404022033240
61234515040212
7140432036360
oct27257351120
98070260188
103133002320
111368553018
127352a0068
133ac111736
1421a1489a0
151350b6eb5
hexbabdd250

3133002320 has 160 divisors (see below), whose sum is σ = 8506812672. Its totient is φ = 1050955776.

The previous prime is 3133002311. The next prime is 3133002329. The reversal of 3133002320 is 232003313.

It is an interprime number because it is at equal distance from previous prime (3133002311) and next prime (3133002329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133002329) 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, 7072019 + ... + 7072461.

Almost surely, 23133002320 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 3133002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253406336).

3133002320 is an abundant number, since it is smaller than the sum of its proper divisors (5373810352).

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

3133002320 is a wasteful number, since it uses less digits than its factorization.

3133002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3133002320 is about 55973.2286008231. The cubic root of 3133002320 is about 1463.2557480994.

Adding to 3133002320 its reverse (232003313), we get a palindrome (3365005633).

The spelling of 3133002320 in words is "three billion, one hundred thirty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 173 280 292 346 365 443 511 560 584 692 730 865 886 1022 1168 1211 1384 1460 1730 1772 2044 2215 2422 2555 2768 2920 3101 3460 3544 4088 4430 4844 5110 5840 6055 6202 6920 7088 8176 8860 9688 10220 12110 12404 12629 13840 15505 17720 19376 20440 24220 24808 25258 31010 32339 35440 40880 48440 49616 50516 62020 63145 64678 76639 88403 96880 101032 124040 126290 129356 153278 161695 176806 202064 226373 248080 252580 258712 306556 323390 353612 383195 442015 452746 505160 517424 536473 613112 646780 707224 766390 884030 905492 1010320 1072946 1131865 1226224 1293560 1414448 1532780 1768060 1810984 2145892 2263730 2587120 2682365 3065560 3536120 3621968 4291784 4527460 5364730 5594647 6131120 7072240 8583568 9054920 10729460 11189294 18109840 21458920 22378588 27973235 39162529 42917840 44757176 55946470 78325058 89514352 111892940 156650116 195812645 223785880 313300232 391625290 447571760 626600464 783250580 1566501160 3133002320