Search a number
-
+
101422131333433 is a prime number
BaseRepresentation
bin10111000011111000101110…
…000111000100100100111001
3111022002212020201022112211121
4113003320232013010210321
5101243200011110132213
6555412403420425241
730235335651054301
oct2703705607044471
9438085221275747
10101422131333433
112a352980082879
12b4603566a8221
1344790b1b66491
141b08c007c8601
15bad35085188d
hex5c3e2e1c4939

101422131333433 has 2 divisors, whose sum is σ = 101422131333434. Its totient is φ = 101422131333432.

The previous prime is 101422131333409. The next prime is 101422131333503. The reversal of 101422131333433 is 334333131224101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72000706414329 + 29421424919104 = 8485323^2 + 5424152^2 .

It is a cyclic number.

It is not a de Polignac number, because 101422131333433 - 217 = 101422131202361 is a prime.

It is a super-2 number, since 2×1014221313334332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101422131333533) 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, 50711065666716 + 50711065666717.

It is an arithmetic number, because the mean of its divisors is an integer number (50711065666717).

Almost surely, 2101422131333433 is an apocalyptic number.

It is an amenable number.

101422131333433 is a deficient number, since it is larger than the sum of its proper divisors (1).

101422131333433 is an equidigital number, since it uses as much as digits as its factorization.

101422131333433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 101422131333433 its reverse (334333131224101), we get a palindrome (435755262557534).

The spelling of 101422131333433 in words is "one hundred one trillion, four hundred twenty-two billion, one hundred thirty-one million, three hundred thirty-three thousand, four hundred thirty-three".