Search a number
-
+
10120211953 is a prime number
BaseRepresentation
bin10010110110011011…
…00010110111110001
3222010021222000220221
421123031202313301
5131211233240303
64352115133041
7505534245055
oct113315426761
928107860827
1010120211953
114323661035
121b652a4181
13c538899c7
146c00d5c65
153e37064bd
hex25b362df1

10120211953 has 2 divisors, whose sum is σ = 10120211954. Its totient is φ = 10120211952.

The previous prime is 10120211951. The next prime is 10120212001. The reversal of 10120211953 is 35911202101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6852031729 + 3268180224 = 82777^2 + 57168^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120211953 - 21 = 10120211951 is a prime.

Together with 10120211951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10120211951) 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, 5060105976 + 5060105977.

It is an arithmetic number, because the mean of its divisors is an integer number (5060105977).

Almost surely, 210120211953 is an apocalyptic number.

It is an amenable number.

10120211953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120211953 is an equidigital number, since it uses as much as digits as its factorization.

10120211953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 10120211953 in words is "ten billion, one hundred twenty million, two hundred eleven thousand, nine hundred fifty-three".