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1002121013 = 29151228847
BaseRepresentation
bin111011101110110…
…010011100110101
32120211200000121002
4323232302130311
54023020333023
6243234533045
733555613415
oct7356623465
92524600532
101002121013
11474742393
1223b737185
1312c80071a
1497140645
155ce9eb28
hex3bbb2735

1002121013 has 8 divisors (see below), whose sum is σ = 1043546880. Its totient is φ = 961153200.

The previous prime is 1002121007. The next prime is 1002121031. The reversal of 1002121013 is 3101212001.

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 1002121013 - 214 = 1002104629 is a prime.

It is a super-2 number, since 2×10021210132 = 2008493049392292338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002120985 and 1002121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002111013) 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, 110045 + ... + 118802.

It is an arithmetic number, because the mean of its divisors is an integer number (130443360).

Almost surely, 21002121013 is an apocalyptic number.

It is an amenable number.

1002121013 is a deficient number, since it is larger than the sum of its proper divisors (41425867).

1002121013 is a wasteful number, since it uses less digits than its factorization.

1002121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229027.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1002121013 is about 31656.2949979937. The cubic root of 1002121013 is about 1000.7065050664.

Adding to 1002121013 its reverse (3101212001), we get a palindrome (4103333014).

The spelling of 1002121013 in words is "one billion, two million, one hundred twenty-one thousand, thirteen".

Divisors: 1 29 151 4379 228847 6636563 34555897 1002121013