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1001011157 is a prime number
BaseRepresentation
bin111011101010100…
…011011111010101
32120202120122011022
4323222203133111
54022224324112
6243155050525
733543311606
oct7352433725
92522518138
101001011157
11474054553
1223b2a0a45
1312c5024c3
1496d31dad
155cd30d72
hex3baa37d5

1001011157 has 2 divisors, whose sum is σ = 1001011158. Its totient is φ = 1001011156.

The previous prime is 1001011127. The next prime is 1001011177. The reversal of 1001011157 is 7511101001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 971319556 + 29691601 = 31166^2 + 5449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001011157 - 222 = 996816853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001011117) 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 as a sum of consecutive naturals, namely, 500505578 + 500505579.

It is an arithmetic number, because the mean of its divisors is an integer number (500505579).

Almost surely, 21001011157 is an apocalyptic number.

It is an amenable number.

1001011157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011157 is an equidigital number, since it uses as much as digits as its factorization.

1001011157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 17.

The square root of 1001011157 is about 31638.7603581430. The cubic root of 1001011157 is about 1000.3369387928.

Adding to 1001011157 its reverse (7511101001), we get a palindrome (8512112158).

The spelling of 1001011157 in words is "one billion, one million, eleven thousand, one hundred fifty-seven".