Search a number
-
+
310001121149 is a prime number
BaseRepresentation
bin1001000001011011000…
…00011011011101111101
31002122011111210121210112
410200231200123131331
520034340241334044
6354225035515405
731253055024056
oct4405540333575
91078144717715
10310001121149
1110a51a607685
12500b68b8b65
1323304b1c485
141100b4b772d
1580e56de09e
hex482d81b77d

310001121149 has 2 divisors, whose sum is σ = 310001121150. Its totient is φ = 310001121148.

The previous prime is 310001121109. The next prime is 310001121163. The reversal of 310001121149 is 941121100013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286128708100 + 23872413049 = 534910^2 + 154507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310001121149 is a prime.

It is a super-2 number, since 2×3100011211492 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310001121109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155000560574 + 155000560575.

It is an arithmetic number, because the mean of its divisors is an integer number (155000560575).

Almost surely, 2310001121149 is an apocalyptic number.

It is an amenable number.

310001121149 is a deficient number, since it is larger than the sum of its proper divisors (1).

310001121149 is an equidigital number, since it uses as much as digits as its factorization.

310001121149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 310001121149 in words is "three hundred ten billion, one million, one hundred twenty-one thousand, one hundred forty-nine".