Search a number
-
+
769900010100101 is a prime number
BaseRepresentation
bin1010111100001110000101000…
…0100111010101010110000101
310201221222201111110012021021122
42233003201100213111112011
51301403020210041200401
611325235103144123325
7321111303653104346
oct25703412047252605
93657881443167248
10769900010100101
1120334a8404a4531
1272423943766545
132707934ac7510a
14d819505d540cd
155e01ced09121b
hex2bc38509d5585

769900010100101 has 2 divisors, whose sum is σ = 769900010100102. Its totient is φ = 769900010100100.

The previous prime is 769900010100083. The next prime is 769900010100167. The reversal of 769900010100101 is 101001010009967.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 495614409235201 + 274285600864900 = 22262399^2 + 16561570^2 .

It is an emirp because it is prime and its reverse (101001010009967) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-769900010100101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (769900010300101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384950005050050 + 384950005050051.

It is an arithmetic number, because the mean of its divisors is an integer number (384950005050051).

Almost surely, 2769900010100101 is an apocalyptic number.

It is an amenable number.

769900010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

769900010100101 is an equidigital number, since it uses as much as digits as its factorization.

769900010100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 35.

The spelling of 769900010100101 in words is "seven hundred sixty-nine trillion, nine hundred billion, ten million, one hundred thousand, one hundred one".