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1321113002000 = 245311191314401
BaseRepresentation
bin10011001110011000011…
…110001010000000010000
311200022000122012002012012
4103032120132022000100
5133121114412031000
62450524432322052
7164306261143151
oct23163036120020
94608018162165
101321113002000
1146a30a937080
1219405a0a3328
1397771255b2c
1447d295d5928
1524572744735
hex1339878a010

1321113002000 has 160 divisors (see below), whose sum is σ = 3503112357888. Its totient is φ = 477888000000.

The previous prime is 1321113001937. The next prime is 1321113002059. The reversal of 1321113002000 is 2003111231.

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, 4044800 + ... + 4359200.

Almost surely, 21321113002000 is an apocalyptic number.

1321113002000 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 1321113002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751556178944).

1321113002000 is an abundant number, since it is smaller than the sum of its proper divisors (2181999355888).

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

1321113002000 is a wasteful number, since it uses less digits than its factorization.

1321113002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314626 (or 314610 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1321113002000 its reverse (2003111231), we get a palindrome (1323116113231).

The spelling of 1321113002000 in words is "one trillion, three hundred twenty-one billion, one hundred thirteen million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 191 200 220 250 275 382 400 440 500 550 764 880 955 1000 1100 1375 1528 1910 2000 2101 2200 2750 3056 3820 4202 4400 4775 5500 7640 8404 9550 10505 11000 15280 16808 19100 21010 22000 23875 33616 38200 42020 47750 52525 76400 84040 95500 105050 168080 191000 210100 262625 314401 382000 420200 525250 628802 840400 1050500 1257604 1572005 2101000 2515208 3144010 3458411 4202000 5030416 6288020 6916822 7860025 12576040 13833644 15720050 17292055 25152080 27667288 31440100 34584110 39300125 55334576 60050591 62880200 69168220 78600250 86460275 120101182 125760400 138336440 157200500 172920550 240202364 276672880 300252955 314401000 345841100 432301375 480404728 600505910 628802000 660556501 691682200 864602750 960809456 1201011820 1321113002 1383364400 1501264775 1729205500 2402023640 2642226004 3002529550 3302782505 3458411000 4804047280 5284452008 6005059100 6605565010 6916822000 7506323875 10568904016 12010118200 13211130020 15012647750 16513912525 24020236400 26422260040 30025295500 33027825050 52844520080 60050591000 66055650100 82569562625 120101182000 132111300200 165139125250 264222600400 330278250500 660556501000 1321113002000