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1002210113 is a prime number
BaseRepresentation
bin111011101111001…
…000001101000001
32120211211112211002
4323233020031001
54023031210423
6243240501345
733556434242
oct7357101501
92524745732
101002210113
114747a3323
1223b77a855
1312c832148
1497164cc9
155cebb228
hex3bbc8341

1002210113 has 2 divisors, whose sum is σ = 1002210114. Its totient is φ = 1002210112.

The previous prime is 1002210091. The next prime is 1002210127. The reversal of 1002210113 is 3110122001.

1002210113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 587965504 + 414244609 = 24248^2 + 20353^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002210113 - 212 = 1002206017 is a prime.

It is a super-2 number, since 2×10022101132 = 2008850221198945538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002210094 and 1002210103.

It is not a weakly prime, because it can be changed into another prime (1002210133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501105056 + 501105057.

It is an arithmetic number, because the mean of its divisors is an integer number (501105057).

Almost surely, 21002210113 is an apocalyptic number.

It is an amenable number.

1002210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002210113 is an equidigital number, since it uses as much as digits as its factorization.

1002210113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1002210113 is about 31657.7022697479. The cubic root of 1002210113 is about 1000.7361622655.

Adding to 1002210113 its reverse (3110122001), we get a palindrome (4112332114).

The spelling of 1002210113 in words is "one billion, two million, two hundred ten thousand, one hundred thirteen".