Search a number
-
+
100944284741 is a prime number
BaseRepresentation
bin101111000000010111…
…1111000110001000101
3100122112222110222101122
41132000233320301011
53123213214102431
6114212334203325
710202331156146
oct1360057706105
9318488428348
10100944284741
11398a0465213
1217692053545
139699340001
144c58627acd
15295c0b2a7b
hex1780bf8c45

100944284741 has 2 divisors, whose sum is σ = 100944284742. Its totient is φ = 100944284740.

The previous prime is 100944284731. The next prime is 100944284743. The reversal of 100944284741 is 147482449001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92565628516 + 8378656225 = 304246^2 + 91535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100944284741 is a prime.

It is a Sophie Germain prime.

Together with 100944284743, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100944284692 and 100944284701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100944284743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50472142370 + 50472142371.

It is an arithmetic number, because the mean of its divisors is an integer number (50472142371).

Almost surely, 2100944284741 is an apocalyptic number.

It is an amenable number.

100944284741 is a deficient number, since it is larger than the sum of its proper divisors (1).

100944284741 is an equidigital number, since it uses as much as digits as its factorization.

100944284741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 100944284741 in words is "one hundred billion, nine hundred forty-four million, two hundred eighty-four thousand, seven hundred forty-one".