Search a number
-
+
100414303357 is a prime number
BaseRepresentation
bin101110110000100101…
…0001010110001111101
3100121012001020010121111
41131201022022301331
53121122030201412
6114044003002021
710153234332004
oct1354112126175
9317161203544
10100414303357
1139649290375
1217564669311
1396135bb564
144c080a9c3b
15292a7c62a7
hex176128ac7d

100414303357 has 2 divisors, whose sum is σ = 100414303358. Its totient is φ = 100414303356.

The previous prime is 100414303271. The next prime is 100414303421. The reversal of 100414303357 is 753303414001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77670345636 + 22743957721 = 278694^2 + 150811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100414303357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100414301357) 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, 50207151678 + 50207151679.

It is an arithmetic number, because the mean of its divisors is an integer number (50207151679).

Almost surely, 2100414303357 is an apocalyptic number.

It is an amenable number.

100414303357 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414303357 is an equidigital number, since it uses as much as digits as its factorization.

100414303357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 100414303357 its reverse (753303414001), we get a palindrome (853717717358).

The spelling of 100414303357 in words is "one hundred billion, four hundred fourteen million, three hundred three thousand, three hundred fifty-seven".