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1323100312000 = 26531115914821
BaseRepresentation
bin10011010000001110111…
…011001001000111000000
311200111011010122220000021
4103100032323021013000
5133134202134441000
62451453543303224
7164406442042645
oct23201673110700
94614133586007
101323100312000
1147013a6a6535
1219451374ab14
13979c9ba90cc
1448077509dcc
152463be4c11a
hex1340eec91c0

1323100312000 has 112 divisors (see below), whose sum is σ = 3277172658240. Its totient is φ = 529156992000.

The previous prime is 1323100311943. The next prime is 1323100312021. The reversal of 1323100312000 is 2130013231.

It is a super-2 number, since 2×13231003120002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89264590 + ... + 89279410.

Almost surely, 21323100312000 is an apocalyptic number.

1323100312000 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 1323100312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638586329120).

1323100312000 is an abundant number, since it is smaller than the sum of its proper divisors (1954072346240).

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

1323100312000 is a wasteful number, since it uses less digits than its factorization.

1323100312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26007 (or 25987 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1323100312000 its reverse (2130013231), we get a palindrome (1325230325231).

The spelling of 1323100312000 in words is "one trillion, three hundred twenty-three billion, one hundred million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 11159 14821 22318 29642 44636 55795 59284 74105 89272 111590 118568 148210 178544 223180 237136 278975 296420 357088 370525 446360 474272 557950 592840 714176 741050 892720 948544 1115900 1185680 1394875 1482100 1785440 1852625 2231800 2371360 2789750 2964200 3570880 3705250 4463600 4742720 5579500 5928400 7410500 8927200 11159000 11856800 14821000 17854400 22318000 23713600 29642000 44636000 59284000 89272000 118568000 165387539 330775078 661550156 826937695 1323100312 1653875390 2646200624 3307750780 4134688475 5292401248 6615501560 8269376950 10584802496 13231003120 16538753900 20673442375 26462006240 33077507800 41346884750 52924012480 66155015600 82693769500 132310031200 165387539000 264620062400 330775078000 661550156000 1323100312000