Search a number
-
+
20753313461 is a prime number
BaseRepresentation
bin10011010100111111…
…100110111010110101
31222120100000120001022
4103110333212322311
5320000322012321
613311155310525
71333200153026
oct232477467265
958510016038
1020753313461
11888a782631
1240322ab445
131c5979264a
14100c37ac4d
15816e6edab
hex4d4fe6eb5

20753313461 has 2 divisors, whose sum is σ = 20753313462. Its totient is φ = 20753313460.

The previous prime is 20753313421. The next prime is 20753313473. The reversal of 20753313461 is 16431335702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10484531236 + 10268782225 = 102394^2 + 101335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20753313461 is a prime.

It is a super-2 number, since 2×207533134612 (a number of 21 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 (20753313401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10376656730 + 10376656731.

It is an arithmetic number, because the mean of its divisors is an integer number (10376656731).

Almost surely, 220753313461 is an apocalyptic number.

It is an amenable number.

20753313461 is a deficient number, since it is larger than the sum of its proper divisors (1).

20753313461 is an equidigital number, since it uses as much as digits as its factorization.

20753313461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 20753313461 in words is "twenty billion, seven hundred fifty-three million, three hundred thirteen thousand, four hundred sixty-one".