Search a number
-
+
1312103002320 = 2432511165669571
BaseRepresentation
bin10011000101111111011…
…011101111000011010000
311122102202201021200012100
4103011333123233003100
5132444141332033240
62442434413000400
7163540064333415
oct23057733570320
94572681250170
101312103002320
11466506a35a50
12192364783100
13969666b4186
1447712b3a10c
15241e673ee30
hex1317f6ef0d0

1312103002320 has 120 divisors (see below), whose sum is σ = 4807068301152. Its totient is φ = 318085574400.

The previous prime is 1312103002297. The next prime is 1312103002351. The reversal of 1312103002320 is 232003012131.

1312103002320 is a `hidden beast` number, since 1 + 31 + 2 + 10 + 300 + 2 + 320 = 666.

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

It is a super-2 number, since 2×13121030023202 (a number of 25 digits) contains 22 as substring.

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 = 1312103002293 and 1312103002302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82826866 + ... + 82842705.

Almost surely, 21312103002320 is an apocalyptic number.

1312103002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312103002320 is an abundant number, since it is smaller than the sum of its proper divisors (3494965298832).

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

1312103002320 is a wasteful number, since it uses less digits than its factorization.

1312103002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165669601 (or 165669592 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312103002320 its reverse (232003012131), we get a palindrome (1544106014451).

The spelling of 1312103002320 in words is "one trillion, three hundred twelve billion, one hundred three million, two thousand, three 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 165669571 331339142 497008713 662678284 828347855 994017426 1325356568 1491026139 1656695710 1822365281 1988034852 2485043565 2650713136 2982052278 3313391420 3644730562 3976069704 4970087130 5467095843 5964104556 6626782840 7289461124 7455130695 7952139408 9111826405 9940174260 10934191686 11928209112 13253565680 14578922248 14910261390 16401287529 18223652810 19880348520 21868383372 23856418224 27335479215 29157844496 29820522780 32802575058 36447305620 39760697040 43736766744 54670958430 59641045560 65605150116 72894611240 82006437645 87473533488 109341916860 119282091120 131210300232 145789222480 164012875290 218683833720 262420600464 328025750580 437367667440 656051501160 1312103002320