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1312110002000 = 24537229409267
BaseRepresentation
bin10011000101111111110…
…110011011111101010000
311122102210012110021221202
4103011333312123331100
5132444200130031000
62442435223010332
7163540210665560
oct23057766337520
94572705407852
101312110002000
1146650a986a06
12192366b999a8
1396967c951b5
1447713a3cda0
15241e7173dd5
hex1317fd9bf50

1312110002000 has 160 divisors (see below), whose sum is σ = 3641764888320. Its totient is φ = 447900710400.

The previous prime is 1312110001849. The next prime is 1312110002017. The reversal of 1312110002000 is 2000112131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3001367 + ... + 3410633.

It is an arithmetic number, because the mean of its divisors is an integer number (22761030552).

Almost surely, 21312110002000 is an apocalyptic number.

1312110002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820882444160).

1312110002000 is an abundant number, since it is smaller than the sum of its proper divisors (2329654886320).

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

1312110002000 is a wasteful number, since it uses less digits than its factorization.

1312110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409526 (or 409510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1312110002000 its reverse (2000112131), we get a palindrome (1314110114131).

The spelling of 1312110002000 in words is "one trillion, three hundred twelve billion, one hundred ten million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 229 250 280 350 400 458 500 560 700 875 916 1000 1145 1400 1603 1750 1832 2000 2290 2800 3206 3500 3664 4580 5725 6412 7000 8015 9160 11450 12824 14000 16030 18320 22900 25648 28625 32060 40075 45800 57250 64120 80150 91600 114500 128240 160300 200375 229000 320600 400750 409267 458000 641200 801500 818534 1603000 1637068 2046335 2864869 3206000 3274136 4092670 5729738 6548272 8185340 10231675 11459476 14324345 16370680 20463350 22918952 28648690 32741360 40926700 45837904 51158375 57297380 71621725 81853400 93722143 102316750 114594760 143243450 163706800 187444286 204633500 229189520 286486900 358108625 374888572 409267000 468610715 572973800 656055001 716217250 749777144 818534000 937221430 1145947600 1312110002 1432434500 1499554288 1874442860 2343053575 2624220004 2864869000 3280275005 3748885720 4686107150 5248440008 5729738000 6560550010 7497771440 9372214300 10496880016 11715267875 13121100020 16401375025 18744428600 23430535750 26242200040 32802750050 37488857200 46861071500 52484400080 65605500100 82006875125 93722143000 131211000200 164013750250 187444286000 262422000400 328027500500 656055001000 1312110002000