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101373644441 is a prime number
BaseRepresentation
bin101111001101001010…
…1110000111010011001
3100200122220101201011202
41132122111300322121
53130103123110231
6114323113003545
710216063521536
oct1363225607231
9320586351152
10101373644441
1139aa0863543
12177919b35b5
139737290cc4
144c99671d8d
152984b255cb
hex179a570e99

101373644441 has 2 divisors, whose sum is σ = 101373644442. Its totient is φ = 101373644440.

The previous prime is 101373644429. The next prime is 101373644447. The reversal of 101373644441 is 144446373101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94923145216 + 6450499225 = 308096^2 + 80315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101373644441 is a prime.

It is a super-3 number, since 3×1013736444413 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101373644395 and 101373644404.

It is not a weakly prime, because it can be changed into another prime (101373644447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50686822220 + 50686822221.

It is an arithmetic number, because the mean of its divisors is an integer number (50686822221).

Almost surely, 2101373644441 is an apocalyptic number.

It is an amenable number.

101373644441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101373644441 is an equidigital number, since it uses as much as digits as its factorization.

101373644441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 101373644441 in words is "one hundred one billion, three hundred seventy-three million, six hundred forty-four thousand, four hundred forty-one".