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1000312213 = 13760112149
BaseRepresentation
bin111011100111111…
…000110110010101
32120201021010101111
4323213320312111
54022034442323
6243132055021
733534341065
oct7347706625
92521233344
101000312213
1147371740a
1223b004471
1312c319324
1496bcd3a5
155cc43c0d
hex3b9f8d95

1000312213 has 8 divisors (see below), whose sum is σ = 1009373400. Its totient is φ = 991276800.

The previous prime is 1000312199. The next prime is 1000312217. The reversal of 1000312213 is 3122130001.

It can be written as a sum of positive squares in 4 ways, for example, as 664763089 + 335549124 = 25783^2 + 18318^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000312213 - 217 = 1000181141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000312193 and 1000312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312217) 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, 76263 + ... + 88411.

It is an arithmetic number, because the mean of its divisors is an integer number (126171675).

Almost surely, 21000312213 is an apocalyptic number.

It is an amenable number.

1000312213 is a deficient number, since it is larger than the sum of its proper divisors (9061187).

1000312213 is a wasteful number, since it uses less digits than its factorization.

1000312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1000312213 is about 31627.7127374080. The cubic root of 1000312213 is about 1000.1040601711.

Adding to 1000312213 its reverse (3122130001), we get a palindrome (4122442214).

The spelling of 1000312213 in words is "one billion, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 137 601 12149 82337 1664413 7301549 1000312213