Search a number
-
+
153718381 is a prime number
BaseRepresentation
bin10010010100110…
…00111001101101
3101201020200222101
421022120321231
5303322442011
623130415101
73544404355
oct1112307155
9351220871
10153718381
1179851993
1243591491
1325b0152b
14165b5b65
15d7662c1
hex9298e6d

153718381 has 2 divisors, whose sum is σ = 153718382. Its totient is φ = 153718380.

The previous prime is 153718349. The next prime is 153718393. The reversal of 153718381 is 183817351.

153718381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128618281 + 25100100 = 11341^2 + 5010^2 .

It is a cyclic number.

It is not a de Polignac number, because 153718381 - 25 = 153718349 is a prime.

It is a super-2 number, since 2×1537183812 = 47258681314522322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153718381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153719381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76859190 + 76859191.

It is an arithmetic number, because the mean of its divisors is an integer number (76859191).

Almost surely, 2153718381 is an apocalyptic number.

It is an amenable number.

153718381 is a deficient number, since it is larger than the sum of its proper divisors (1).

153718381 is an equidigital number, since it uses as much as digits as its factorization.

153718381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20160, while the sum is 37.

The square root of 153718381 is about 12398.3217009400. The cubic root of 153718381 is about 535.6839083152.

The spelling of 153718381 in words is "one hundred fifty-three million, seven hundred eighteen thousand, three hundred eighty-one".