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1031100223001 is a prime number
BaseRepresentation
bin11110000000100100101…
…11001100111000011001
310122120110010222110002012
433000102113030320121
5113343143124114001
62105403024115305
7134331424200062
oct17002227147031
93576403873065
101031100223001
11368318216832
12147a01465b35
137630358bc64
1437c96a4b569
151bc4bc6c2bb
hexf0125cce19

1031100223001 has 2 divisors, whose sum is σ = 1031100223002. Its totient is φ = 1031100223000.

The previous prime is 1031100222973. The next prime is 1031100223009. The reversal of 1031100223001 is 1003220011301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 784905630601 + 246194592400 = 885949^2 + 496180^2 .

It is an emirp because it is prime and its reverse (1003220011301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1031100223001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031100223009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515550111500 + 515550111501.

It is an arithmetic number, because the mean of its divisors is an integer number (515550111501).

Almost surely, 21031100223001 is an apocalyptic number.

It is an amenable number.

1031100223001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031100223001 is an equidigital number, since it uses as much as digits as its factorization.

1031100223001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1031100223001 its reverse (1003220011301), we get a palindrome (2034320234302).

The spelling of 1031100223001 in words is "one trillion, thirty-one billion, one hundred million, two hundred twenty-three thousand, one".