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1000202221000 = 23531000202221
BaseRepresentation
bin11101000111000001011…
…00101011010111001000
310112121200210221022112201
432203200230223113020
5112341403232033000
62043253032445544
7132155641413433
oct16434054532710
93477623838481
101000202221000
11356202095594
12141a198498b4
137341b14ca38
14365a524681a
151b03e3ad96a
hexe8e0b2b5c8

1000202221000 has 32 divisors (see below), whose sum is σ = 2340473199480. Its totient is φ = 400080888000.

The previous prime is 1000202220989. The next prime is 1000202221009. The reversal of 1000202221000 is 1222020001.

It can be written as a sum of positive squares in 4 ways, for example, as 147789500356 + 852412720644 = 384434^2 + 923262^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1000202221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500100111 + ... + 500102110.

Almost surely, 21000202221000 is an apocalyptic number.

1000202221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202221000 is an abundant number, since it is smaller than the sum of its proper divisors (1340270978480).

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

1000202221000 is a wasteful number, since it uses less digits than its factorization.

1000202221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000202242 (or 1000202228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000202221000 its reverse (1222020001), we get a palindrome (1001424241001).

The spelling of 1000202221000 in words is "one trillion, two hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1000202221 2000404442 4000808884 5001011105 8001617768 10002022210 20004044420 25005055525 40008088840 50010111050 100020222100 125025277625 200040444200 250050555250 500101110500 1000202221000