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1002121157 is a prime number
BaseRepresentation
bin111011101110110…
…010011111000101
32120211200000210102
4323232302133011
54023020334112
6243234533445
733555614012
oct7356623705
92524600712
101002121157
11474742504
1223b737285
1312c8007cb
1497140709
155ce9ebc2
hex3bbb27c5

1002121157 has 2 divisors, whose sum is σ = 1002121158. Its totient is φ = 1002121156.

The previous prime is 1002121111. The next prime is 1002121171. The reversal of 1002121157 is 7511212001.

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., 891261316 + 110859841 = 29854^2 + 10529^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002121157 - 28 = 1002120901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002120157) 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, 501060578 + 501060579.

It is an arithmetic number, because the mean of its divisors is an integer number (501060579).

Almost surely, 21002121157 is an apocalyptic number.

It is an amenable number.

1002121157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002121157 is an equidigital number, since it uses as much as digits as its factorization.

1002121157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 1002121157 is about 31656.2972724227. The cubic root of 1002121157 is about 1000.7065529986.

Adding to 1002121157 its reverse (7511212001), we get a palindrome (8513333158).

The spelling of 1002121157 in words is "one billion, two million, one hundred twenty-one thousand, one hundred fifty-seven".