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3213200313 = 333153113641
BaseRepresentation
bin1011111110000101…
…1000101110111001
322021221012111012000
42333201120232321
523040034402223
61250502011213
7142424515641
oct27741305671
98257174160
103213200313
1113a9849a54
12758116b09
133c2910c7b
14226a63521
1513c159543
hexbf858bb9

3213200313 has 64 divisors (see below), whose sum is σ = 5058754560. Its totient is φ = 2012774400.

The previous prime is 3213200281. The next prime is 3213200363. The reversal of 3213200313 is 3130023123.

3213200313 is a `hidden beast` number, since 32 + 1 + 320 + 0 + 313 = 666.

It is not a de Polignac number, because 3213200313 - 25 = 3213200281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3213200363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5012473 + ... + 5013113.

It is an arithmetic number, because the mean of its divisors is an integer number (79043040).

Almost surely, 23213200313 is an apocalyptic number.

It is an amenable number.

3213200313 is a deficient number, since it is larger than the sum of its proper divisors (1845554247).

3213200313 is a wasteful number, since it uses less digits than its factorization.

3213200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3213200313 is about 56685.0978035674. The cubic root of 3213200313 is about 1475.6360850130.

Adding to 3213200313 its reverse (3130023123), we get a palindrome (6343223436).

The spelling of 3213200313 in words is "three billion, two hundred thirteen million, two hundred thousand, three hundred thirteen".

Divisors: 1 3 9 27 31 53 93 113 159 279 339 477 641 837 1017 1431 1643 1923 3051 3503 4929 5769 5989 10509 14787 17307 17967 19871 31527 33973 44361 53901 59613 72433 94581 101919 161703 178839 185659 217299 305757 536517 556977 651897 917271 1053163 1670931 1955691 2245423 3159489 3838949 5012793 6736269 9478467 11516847 20208807 28435401 34550541 60626421 103651623 119007419 357022257 1071066771 3213200313