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1002211332200 = 235213385465897
BaseRepresentation
bin11101001010110000111…
…00110101000001101000
310112210212211102201222122
432211120130311001220
5112410012100112300
62044224243010412
7132256505523461
oct16453034650150
93483784381878
101002211332200
11357043195571
1214229a669a08
137367b467230
1436715dd3d68
151b10a970c85
hexe958735068

1002211332200 has 48 divisors (see below), whose sum is σ = 2509382995980. Its totient is φ = 370047260160.

The previous prime is 1002211332197. The next prime is 1002211332223. The reversal of 1002211332200 is 22331122001.

It can be written as a sum of positive squares in 6 ways, for example, as 138787541764 + 863423790436 = 372542^2 + 929206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192730349 + ... + 192735548.

Almost surely, 21002211332200 is an apocalyptic number.

1002211332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002211332200 is an abundant number, since it is smaller than the sum of its proper divisors (1507171663780).

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

1002211332200 is a wasteful number, since it uses less digits than its factorization.

1002211332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385465926 (or 385465917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1002211332200 its reverse (22331122001), we get a palindrome (1024542454201).

The spelling of 1002211332200 in words is "one trillion, two billion, two hundred eleven million, three hundred thirty-two 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 385465897 770931794 1541863588 1927329485 3083727176 3854658970 5011056661 7709317940 9636647425 10022113322 15418635880 19273294850 20044226644 25055283305 38546589700 40088453288 50110566610 77093179400 100221133220 125276416525 200442266440 250552833050 501105666100 1002211332200