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1313221222000 = 24531871350941
BaseRepresentation
bin10011000111000010000…
…101011001111001110000
311122112122122102010020001
4103013002011121321300
5133003434113101000
62443141400155344
7163606563132202
oct23070205317160
94575578363201
101313221222000
11466a30164a46
12192617168b54
1396ab4273b1c
14477bb45c772
152425e9c446a
hex131c2159e70

1313221222000 has 80 divisors (see below), whose sum is σ = 3177075118464. Its totient is φ = 525006240000.

The previous prime is 1313221221973. The next prime is 1313221222063. The reversal of 1313221222000 is 2221223131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13132212220002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3566530 + ... + 3917470.

Almost surely, 21313221222000 is an apocalyptic number.

1313221222000 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 1313221222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588537559232).

1313221222000 is an abundant number, since it is smaller than the sum of its proper divisors (1863853896464).

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

1313221222000 is a wasteful number, since it uses less digits than its factorization.

1313221222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352835 (or 352819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1313221222000 its reverse (2221223131), we get a palindrome (1315442445131).

The spelling of 1313221222000 in words is "one trillion, three hundred thirteen billion, two hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1871 2000 3742 7484 9355 14968 18710 29936 37420 46775 74840 93550 149680 187100 233875 350941 374200 467750 701882 748400 935500 1403764 1754705 1871000 2807528 3509410 3742000 5615056 7018820 8773525 14037640 17547050 28075280 35094100 43867625 70188200 87735250 140376400 175470500 350941000 656610611 701882000 1313221222 2626442444 3283053055 5252884888 6566106110 10505769776 13132212220 16415265275 26264424440 32830530550 52528848880 65661061100 82076326375 131322122200 164152652750 262644244400 328305305500 656610611000 1313221222000