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13310021031120 = 24325111680558211
BaseRepresentation
bin1100000110101111101100…
…0100110101010011010000
31202010102111020202200102100
43001223323010311103100
53221032410340443440
644150312251120400
72542421505031152
oct301537304652320
952112436680370
1013310021031120
114271825975aa0
1215ab6a3143100
1375718b959028
143402cc002ad2
151813569aa230
hexc1afb1354d0

13310021031120 has 120 divisors (see below), whose sum is σ = 48763077079392. Its totient is φ = 3226671763200.

The previous prime is 13310021031077. The next prime is 13310021031173. The reversal of 13310021031120 is 2113012001331.

13310021031120 is a `hidden beast` number, since 1 + 3 + 310 + 0 + 21 + 0 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13310021031093 and 13310021031102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840271186 + ... + 840287025.

Almost surely, 213310021031120 is an apocalyptic number.

13310021031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310021031120 is an abundant number, since it is smaller than the sum of its proper divisors (35453056048272).

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

13310021031120 is a wasteful number, since it uses less digits than its factorization.

13310021031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680558241 (or 1680558232 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13310021031120 its reverse (2113012001331), we get a palindrome (15423033032451).

The spelling of 13310021031120 in words is "thirteen trillion, three hundred ten billion, twenty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 1680558211 3361116422 5041674633 6722232844 8402791055 10083349266 13444465688 15125023899 16805582110 18486140321 20166698532 25208373165 26888931376 30250047798 33611164220 36972280642 40333397064 50416746330 55458420963 60500095596 67222328440 73944561284 75625119495 80666794128 92430701605 100833492660 110916841926 121000191192 134444656880 147889122568 151250238990 166375262889 184861403210 201666985320 221833683852 242000382384 277292104815 295778245136 302500477980 332750525778 369722806420 403333970640 443667367704 554584209630 605000955960 665501051556 739445612840 831876314445 887334735408 1109168419260 1210001911920 1331002103112 1478891225680 1663752628890 2218336838520 2662004206224 3327505257780 4436673677040 6655010515560 13310021031120