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1000212031 = 71331734673
BaseRepresentation
bin111011100111100…
…000011000111111
32120201002000222001
4323213200120333
54022023241111
6243130003131
733533443030
oct7347403077
92521060861
101000212031
11473659115
1223ab764a7
1312c2b2850
1496ba4a87
155cc241c1
hex3b9e063f

1000212031 has 16 divisors (see below), whose sum is σ = 1234949184. Its totient is φ = 788857344.

The previous prime is 1000212023. The next prime is 1000212043. The reversal of 1000212031 is 1302120001.

It is a cyclic number.

It is not a de Polignac number, because 1000212031 - 23 = 1000212023 is a prime.

It is a super-2 number, since 2×10002120312 = 2000848213914289922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000211999 and 1000212017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000212011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11511 + ... + 46183.

It is an arithmetic number, because the mean of its divisors is an integer number (77184324).

Almost surely, 21000212031 is an apocalyptic number.

1000212031 is a deficient number, since it is larger than the sum of its proper divisors (234737153).

1000212031 is a wasteful number, since it uses less digits than its factorization.

1000212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35010.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1000212031 is about 31626.1289284667. The cubic root of 1000212031 is about 1000.0706720054.

Adding to 1000212031 its reverse (1302120001), we get a palindrome (2302332032).

The spelling of 1000212031 in words is "one billion, two hundred twelve thousand, thirty-one".

Divisors: 1 7 13 91 317 2219 4121 28847 34673 242711 450749 3155243 10991341 76939387 142887433 1000212031