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1002211220000 = 2554107468323
BaseRepresentation
bin11101001010110000111…
…00011001101000100000
310112210212211020001002002
432211120130121220200
5112410012033020000
62044224240343132
7132256504545404
oct16453034315040
93483784201062
101002211220000
11357043119241
1214229a614aa8
137367b428143
1436715da5104
151b10a94c8d5
hexe958719a20

1002211220000 has 120 divisors (see below), whose sum is σ = 2488638143376. Its totient is φ = 397137056000.

The previous prime is 1002211219981. The next prime is 1002211220011. The reversal of 1002211220000 is 221122001.

It is a happy 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 19 ways as a sum of consecutive naturals, for example, 1905839 + ... + 2374161.

Almost surely, 21002211220000 is an apocalyptic number.

1002211220000 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 1002211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244319071688).

1002211220000 is an abundant number, since it is smaller than the sum of its proper divisors (1486426923376).

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

1002211220000 is an equidigital number, since it uses as much as digits as its factorization.

1002211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468460 (or 468437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002211220000 its reverse (221122001), we get a palindrome (1002432342001).

The spelling of 1002211220000 in words is "one trillion, two billion, two hundred eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 200 214 250 400 428 500 535 625 800 856 1000 1070 1250 1712 2000 2140 2500 2675 3424 4000 4280 5000 5350 8560 10000 10700 13375 17120 20000 21400 26750 42800 53500 66875 85600 107000 133750 214000 267500 428000 468323 535000 936646 1070000 1873292 2140000 2341615 3746584 4683230 7493168 9366460 11708075 14986336 18732920 23416150 37465840 46832300 50110561 58540375 74931680 93664600 100221122 117080750 187329200 200442244 234161500 250552805 292701875 374658400 400884488 468323000 501105610 585403750 801768976 936646000 1002211220 1170807500 1252764025 1603537952 1873292000 2004422440 2341615000 2505528050 4008844880 4683230000 5011056100 6263820125 8017689760 9366460000 10022112200 12527640250 20044224400 25055280500 31319100625 40088448800 50110561000 62638201250 100221122000 125276402500 200442244000 250552805000 501105610000 1002211220000