Search a number
-
+
102210101977 is a prime number
BaseRepresentation
bin101111100110000110…
…0100110001011011001
3100202211012100011012111
41133030030212023121
53133311241230402
6114542113112321
710245601350334
oct1371414461331
9322735304174
10102210101977
113a38aa35465
1217985b586a1
13983b66a1a9
144d387ab61b
1529d329e9d7
hex17cc3262d9

102210101977 has 2 divisors, whose sum is σ = 102210101978. Its totient is φ = 102210101976.

The previous prime is 102210101947. The next prime is 102210102041. The reversal of 102210101977 is 779101012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100461105936 + 1748996041 = 316956^2 + 41821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102210101977 is a prime.

It is a super-3 number, since 3×1022101019773 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102210101947) 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, 51105050988 + 51105050989.

It is an arithmetic number, because the mean of its divisors is an integer number (51105050989).

Almost surely, 2102210101977 is an apocalyptic number.

It is an amenable number.

102210101977 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210101977 is an equidigital number, since it uses as much as digits as its factorization.

102210101977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 31.

The spelling of 102210101977 in words is "one hundred two billion, two hundred ten million, one hundred one thousand, nine hundred seventy-seven".