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101111401037 is a prime number
BaseRepresentation
bin101111000101010110…
…1011000101001001101
3100122222121221100212002
41132022231120221031
53124034004313122
6114241104122045
710206430504523
oct1361255305115
9318877840762
10101111401037
1139976828159
121771a006325
1396c4b528aa
144c728ca313
15296bac3992
hex178ab58a4d

101111401037 has 2 divisors, whose sum is σ = 101111401038. Its totient is φ = 101111401036.

The previous prime is 101111401031. The next prime is 101111401051. The reversal of 101111401037 is 730104111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59745536041 + 41365864996 = 244429^2 + 203386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101111401037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111401031) 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, 50555700518 + 50555700519.

It is an arithmetic number, because the mean of its divisors is an integer number (50555700519).

Almost surely, 2101111401037 is an apocalyptic number.

It is an amenable number.

101111401037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111401037 is an equidigital number, since it uses as much as digits as its factorization.

101111401037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 101111401037 its reverse (730104111101), we get a palindrome (831215512138).

The spelling of 101111401037 in words is "one hundred one billion, one hundred eleven million, four hundred one thousand, thirty-seven".