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1002212030000 = 2454285135153
BaseRepresentation
bin11101001010110000111…
…11011111011000110000
310112210212212202012012002
432211120133133120300
5112410012234430000
62044224305553132
7132256514461046
oct16453037373060
93483785665162
101002212030000
11357043621865
1214229a9457a8
137367b64ca2c
1436716136396
151b10aa5c8d5
hexe9587df630

1002212030000 has 100 divisors (see below), whose sum is σ = 2427375684888. Its totient is φ = 400732800000.

The previous prime is 1002212029997. The next prime is 1002212030003. The reversal of 1002212030000 is 302122001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002212029997) and next prime (1002212030003).

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1002212030003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28492424 + ... + 28527576.

Almost surely, 21002212030000 is an apocalyptic number.

1002212030000 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 1002212030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213687842444).

1002212030000 is an abundant number, since it is smaller than the sum of its proper divisors (1425163654888).

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

1002212030000 is an equidigital number, since it uses as much as digits as its factorization.

1002212030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38032 (or 38011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1002212030000 its reverse (302122001), we get a palindrome (1002514152001).

The spelling of 1002212030000 in words is "one trillion, two billion, two hundred twelve million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2851 5000 5702 10000 11404 14255 22808 28510 35153 45616 57020 70306 71275 114040 140612 142550 175765 228080 281224 285100 351530 356375 562448 570200 703060 712750 878825 1140400 1406120 1425500 1757650 1781875 2812240 2851000 3515300 3563750 4394125 5702000 7030600 7127500 8788250 14061200 14255000 17576500 21970625 28510000 35153000 43941250 70306000 87882500 100221203 175765000 200442406 351530000 400884812 501106015 801769624 1002212030 1603539248 2004424060 2505530075 4008848120 5011060150 8017696240 10022120300 12527650375 20044240600 25055300750 40088481200 50110601500 62638251875 100221203000 125276503750 200442406000 250553007500 501106015000 1002212030000