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1002022201000 = 23531002022201
BaseRepresentation
bin11101001010011010010…
…11010110011010101000
310112210101122112212202101
432211031023112122220
5112404120140413000
62044153405143144
7132252021114532
oct16451513263250
93483348485671
101002022201000
11356a56456497
1214224725aab4
137364b217092
14366d8c40852
151b0e9061e6a
hexe94d2d66a8

1002022201000 has 32 divisors (see below), whose sum is σ = 2344731952680. Its totient is φ = 400808880000.

The previous prime is 1002022200983. The next prime is 1002022201027. The reversal of 1002022201000 is 1022202001.

1002022201000 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 4 ways, for example, as 527915590084 + 474106610916 = 726578^2 + 688554^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501010101 + ... + 501012100.

Almost surely, 21002022201000 is an apocalyptic number.

1002022201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002022201000 is an abundant number, since it is smaller than the sum of its proper divisors (1342709751680).

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

1002022201000 is a wasteful number, since it uses less digits than its factorization.

1002022201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002022222 (or 1002022208 counting only the distinct ones).

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

Adding to 1002022201000 its reverse (1022202001), we get a palindrome (1003044403001).

The spelling of 1002022201000 in words is "one trillion, two billion, twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1002022201 2004044402 4008088804 5010111005 8016177608 10020222010 20040444020 25050555025 40080888040 50101110050 100202220100 125252775125 200404440200 250505550250 501011100500 1002022201000