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1201203001000 = 235367109116433
BaseRepresentation
bin10001011110101101010…
…001110011011010101000
311020211111220100220010001
4101132231101303122220
5124140030432013000
62315454113032344
7152532634020412
oct21365521633250
94224456326101
101201203001000
114234778625a2
121749745556b4
13893718c0112
14421d21d99b2
15213a561a46a
hex117ad4736a8

1201203001000 has 128 divisors (see below), whose sum is σ = 2855556063360. Its totient is φ = 472847232000.

The previous prime is 1201203000941. The next prime is 1201203001027. The reversal of 1201203001000 is 1003021021.

It is a super-2 number, since 2×12012030010002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 73088784 + ... + 73105216.

It is an arithmetic number, because the mean of its divisors is an integer number (22309031745).

Almost surely, 21201203001000 is an apocalyptic number.

1201203001000 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 1201203001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427778031680).

1201203001000 is an abundant number, since it is smaller than the sum of its proper divisors (1654353062360).

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

1201203001000 is a wasteful number, since it uses less digits than its factorization.

1201203001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17612 (or 17598 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1201203001000 its reverse (1003021021), we get a palindrome (1202206022021).

The spelling of 1201203001000 in words is "one trillion, two hundred one billion, two hundred three million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1091 1340 1675 2182 2680 3350 4364 5455 6700 8375 8728 10910 13400 16433 16750 21820 27275 32866 33500 43640 54550 65732 67000 73097 82165 109100 131464 136375 146194 164330 218200 272750 292388 328660 365485 410825 545500 584776 657320 730970 821650 1091000 1101011 1461940 1643300 1827425 2054125 2202022 2923880 3286600 3654850 4108250 4404044 5505055 7309700 8216500 8808088 9137125 11010110 14619400 16433000 17928403 18274250 22020220 27525275 35856806 36548500 44040440 55050550 71713612 73097000 89642015 110101100 137626375 143427224 179284030 220202200 275252750 358568060 448210075 550505500 717136120 896420150 1101011000 1201203001 1792840300 2241050375 2402406002 3585680600 4482100750 4804812004 6006015005 8964201500 9609624008 12012030010 17928403000 24024060020 30030075025 48048120040 60060150050 120120300100 150150375125 240240600200 300300750250 600601500500 1201203001000