Search a number
-
+
101000011111037 is a prime number
BaseRepresentation
bin10110111101101111100101…
…110010001101101001111101
3111020121111200102122110020122
4112331233211302031221331
5101214241010321023122
6554450433051224325
730163003300266053
oct2675574562155175
9436544612573218
10101000011111037
112a1aa956230a45
12b3b258b4480a5
13444834c801c5c
141ad25d890c1d3
15ba2396ecd142
hex5bdbe5c8da7d

101000011111037 has 2 divisors, whose sum is σ = 101000011111038. Its totient is φ = 101000011111036.

The previous prime is 101000011111033. The next prime is 101000011111039. The reversal of 101000011111037 is 730111110000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99010977581476 + 1989033529561 = 9950426^2 + 1410331^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000011111037 - 22 = 101000011111033 is a prime.

Together with 101000011111039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000011111033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005555518 + 50500005555519.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005555519).

Almost surely, 2101000011111037 is an apocalyptic number.

It is an amenable number.

101000011111037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011111037 is an equidigital number, since it uses as much as digits as its factorization.

101000011111037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 101000011111037 its reverse (730111110000101), we get a palindrome (831111121111138).

The spelling of 101000011111037 in words is "one hundred one trillion, eleven million, one hundred eleven thousand, thirty-seven".