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1002212102020 = 2251716691766137
BaseRepresentation
bin11101001010110000111…
…11110000111110000100
310112210212212212211222111
432211120133300332010
5112410012244231040
62044224311310404
7132256515211033
oct16453037607604
93483785784874
101002212102020
11357043670988
1214229a97b404
137367b67674c
143671615471a
151b10aa73dea
hexe9587f0f84

1002212102020 has 48 divisors (see below), whose sum is σ = 2229784547760. Its totient is φ = 377077100544.

The previous prime is 1002212102009. The next prime is 1002212102033. The reversal of 1002212102020 is 202012122001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2883204 + 1002209218816 = 1698^2 + 1001104^2 .

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, 315609 + ... + 1450528.

It is an arithmetic number, because the mean of its divisors is an integer number (46453844745).

Almost surely, 21002212102020 is an apocalyptic number.

1002212102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002212102020 is an abundant number, since it is smaller than the sum of its proper divisors (1227572445740).

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

1002212102020 is a wasteful number, since it uses less digits than its factorization.

1002212102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767832 (or 1767830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002212102020 its reverse (202012122001), we get a palindrome (1204224224021).

The spelling of 1002212102020 in words is "one trillion, two billion, two hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1669 3338 6676 8345 16690 28373 33380 56746 113492 141865 283730 567460 1766137 3532274 7064548 8830685 17661370 30024329 35322740 60048658 120097316 150121645 300243290 600486580 2947682653 5895365306 11790730612 14738413265 29476826530 50110605101 58953653060 100221210202 200442420404 250553025505 501106051010 1002212102020