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1002211020200 = 235213385465777
BaseRepresentation
bin11101001010110000110…
…11101000110110101000
310112210212210211220000002
432211120123220312220
5112410012010121300
62044224232202132
7132256503054035
oct16453033506650
93483783756002
101002211020200
11357042aa2115
1214229a539348
137367b388210
1436715d5238c
151b10a90d5d5
hexe9586e8da8

1002211020200 has 48 divisors (see below), whose sum is σ = 2509382214780. Its totient is φ = 370047144960.

The previous prime is 1002211020179. The next prime is 1002211020203. The reversal of 1002211020200 is 20201122001.

It is a happy number.

1002211020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 402394847716 + 599816172484 = 634346^2 + 774478^2 .

It is not an unprimeable number, because it can be changed into a prime (1002211020203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192730289 + ... + 192735488.

Almost surely, 21002211020200 is an apocalyptic number.

1002211020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002211020200 is an abundant number, since it is smaller than the sum of its proper divisors (1507171194580).

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

1002211020200 is a wasteful number, since it uses less digits than its factorization.

1002211020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385465806 (or 385465797 counting only the distinct ones).

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

Adding to 1002211020200 its reverse (20201122001), we get a palindrome (1022412142201).

The spelling of 1002211020200 in words is "one trillion, two billion, two hundred eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 385465777 770931554 1541863108 1927328885 3083726216 3854657770 5011055101 7709315540 9636644425 10022110202 15418631080 19273288850 20044220404 25055275505 38546577700 40088440808 50110551010 77093155400 100221102020 125276377525 200442204040 250552755050 501105510100 1002211020200