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1001000199 = 31931412337
BaseRepresentation
bin111011101010100…
…000110100000111
32120202120002010110
4323222200310013
54022224001244
6243154524103
733543234633
oct7352406407
92522502113
101001000199
114740472a1
1223b296633
1312c4ca514
1496d2bdc3
155cd2c9b9
hex3baa0d07

1001000199 has 48 divisors (see below), whose sum is σ = 1490877440. Its totient is φ = 595123200.

The previous prime is 1001000173. The next prime is 1001000233. The reversal of 1001000199 is 9910001001.

1001000199 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001000199 - 28 = 1000999943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970159 + ... + 2970495.

Almost surely, 21001000199 is an apocalyptic number.

1001000199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1001000199 is a deficient number, since it is larger than the sum of its proper divisors (489877241).

1001000199 is a wasteful number, since it uses less digits than its factorization.

1001000199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 1001000199 is about 31638.5871840068. The cubic root of 1001000199 is about 1000.3332885731. Note that the first 3 decimals are identical.

The spelling of 1001000199 in words is "one billion, one million, one hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 19 31 41 57 93 123 337 589 779 1011 1271 1681 1767 2337 3813 5043 6403 10447 13817 19209 24149 31341 31939 41451 52111 72447 95817 156333 198493 262523 428327 566497 595479 787569 990109 1284981 1699491 2970327 8138213 10763443 17561407 24414639 32290329 52684221 333666733 1001000199