Search a number
-
+
102012131261 is a prime number
BaseRepresentation
bin101111100000001100…
…1011001011110111101
3100202022101211012102202
41133000121121132331
53132410101200021
6114510322001245
710240645544255
oct1370031313675
9322271735382
10102012131261
113a2992090a7
121792b7a6225
139809643761
144d1a396965
1529c0be6a0b
hex17c06597bd

102012131261 has 2 divisors, whose sum is σ = 102012131262. Its totient is φ = 102012131260.

The previous prime is 102012131231. The next prime is 102012131267. The reversal of 102012131261 is 162131210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101565865636 + 446265625 = 318694^2 + 21125^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012131261 - 26 = 102012131197 is a prime.

It is a super-2 number, since 2×1020121312612 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102012131267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006065630 + 51006065631.

It is an arithmetic number, because the mean of its divisors is an integer number (51006065631).

Almost surely, 2102012131261 is an apocalyptic number.

It is an amenable number.

102012131261 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012131261 is an equidigital number, since it uses as much as digits as its factorization.

102012131261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102012131261 its reverse (162131210201), we get a palindrome (264143341462).

The spelling of 102012131261 in words is "one hundred two billion, twelve million, one hundred thirty-one thousand, two hundred sixty-one".