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13310212002984 = 23321353268307773
BaseRepresentation
bin1100000110110000011001…
…1101010101010010101000
31202010102222120010001120100
43001230012131111102220
53221033303233043414
644150343232225400
72542426314204351
oct301540635252250
952112876101510
1013310212002984
114271913751a86
1215ab73709b260
137571bc3a1c30
14340309514d28
1518136862e609
hexc1b067554a8

13310212002984 has 96 divisors (see below), whose sum is σ = 39553932043080. Its totient is φ = 4018177193472.

The previous prime is 13310212002977. The next prime is 13310212003013. The reversal of 13310212002984 is 48920021201331.

13310212002984 is a `hidden beast` number, since 1 + 331 + 0 + 21 + 200 + 29 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7631284700484 + 5678927302500 = 2762478^2 + 2383050^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134104279 + ... + 134203494.

Almost surely, 213310212002984 is an apocalyptic number.

It is an amenable number.

13310212002984 is an abundant number, since it is smaller than the sum of its proper divisors (26243720040096).

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

13310212002984 is a wasteful number, since it uses less digits than its factorization.

13310212002984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268307851 (or 268307844 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13310212002984 in words is "thirteen trillion, three hundred ten billion, two hundred twelve million, two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1378 1908 2067 2756 3816 4134 5512 6201 8268 12402 16536 24804 49608 268307773 536615546 804923319 1073231092 1609846638 2146462184 2414769957 3219693276 3488001049 4829539914 6439386552 6976002098 9659079828 10464003147 13952004196 14220311969 19318159656 20928006294 27904008392 28440623938 31392009441 41856012588 42660935907 56881247876 62784018882 83712025176 85321871814 113762495752 125568037764 127982807721 170643743628 184864055597 251136075528 255965615442 341287487256 369728111194 511931230884 554592166791 739456222388 1023862461768 1109184333582 1478912444776 1663776500373 2218368667164 3327553000746 4436737334328 6655106001492 13310212002984