Search a number
-
+
1312130100000 = 253554373767
BaseRepresentation
bin10011000110000001000…
…011000110101100100000
311122102211121021101020010
4103012001003012230200
5132444220301200000
62442441221444520
7163540543553406
oct23060103065440
94572747241203
101312130100000
11466520263925
12192371870740
139696c1b10c5
1447716591476
15241e8ce3d50
hex131810c6b20

1312130100000 has 144 divisors (see below), whose sum is σ = 4305152327616. Its totient is φ = 349901280000.

The previous prime is 1312130099983. The next prime is 1312130100019. The reversal of 1312130100000 is 10312131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1886884 + ... + 2486883.

It is an arithmetic number, because the mean of its divisors is an integer number (29896891164).

Almost surely, 21312130100000 is an apocalyptic number.

1312130100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312130100000 is an abundant number, since it is smaller than the sum of its proper divisors (2993022227616).

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

1312130100000 is an frugal number, since it uses more digits than its factorization.

1312130100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373805 (or 4373777 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1312130100000 its reverse (10312131), we get a palindrome (1312140412131).

The spelling of 1312130100000 in words is "one trillion, three hundred twelve billion, one hundred thirty million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 4373767 8747534 13121301 17495068 21868835 26242602 34990136 43737670 52485204 65606505 69980272 87475340 104970408 109344175 131213010 139960544 174950680 209940816 218688350 262426020 328032525 349901360 419881632 437376700 524852040 546720875 656065050 699802720 874753400 1049704080 1093441750 1312130100 1640162625 1749506800 2099408160 2186883500 2624260200 2733604375 3280325250 3499013600 4373767000 5248520400 5467208750 6560650500 8200813125 8747534000 10497040800 10934417500 13121301000 13668021875 16401626250 17495068000 21868835000 26242602000 27336043750 32803252500 41004065625 43737670000 52485204000 54672087500 65606505000 82008131250 87475340000 109344175000 131213010000 164016262500 218688350000 262426020000 328032525000 437376700000 656065050000 1312130100000