Search a number
-
+
20931000301 is a prime number
BaseRepresentation
bin10011011111100101…
…011011011111101101
32000000201100222120101
4103133211123133231
5320331314002201
613340543551101
71340455365331
oct233745333755
960021328511
1020931000301
118971005362
1240818bb491
131c875366a3
141027bd17c1
1582786cd01
hex4df95b7ed

20931000301 has 2 divisors, whose sum is σ = 20931000302. Its totient is φ = 20931000300.

The previous prime is 20931000289. The next prime is 20931000353. The reversal of 20931000301 is 10300013902.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20707497801 + 223502500 = 143901^2 + 14950^2 .

It is a cyclic number.

It is not a de Polignac number, because 20931000301 - 213 = 20930992109 is a prime.

It is the 144676-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20931007301) by changing a digit.

It is a nontrivial repunit in base 144675.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10465500150 + 10465500151.

It is an arithmetic number, because the mean of its divisors is an integer number (10465500151).

Almost surely, 220931000301 is an apocalyptic number.

It is an amenable number.

20931000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

20931000301 is an equidigital number, since it uses as much as digits as its factorization.

20931000301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

The spelling of 20931000301 in words is "twenty billion, nine hundred thirty-one million, three hundred one", and thus it is an aban number.