Search a number
-
+
145011523055501 is a prime number
BaseRepresentation
bin100000111110001100100000…
…010100011110111110001101
3201000102222002101000112111202
4200332030200110132332031
5123001332044400234001
61232225212442355245
742354510503304224
oct4076144024367615
9630388071015452
10145011523055501
114222905035a973
12143202557bbb25
1362bb6b2b974ab
1427b48491bbcbb
1511b713866b96b
hex83e32051ef8d

145011523055501 has 2 divisors, whose sum is σ = 145011523055502. Its totient is φ = 145011523055500.

The previous prime is 145011523055473. The next prime is 145011523055519. The reversal of 145011523055501 is 105550325110541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144897313528900 + 114209526601 = 12037330^2 + 337949^2 .

It is a cyclic number.

It is not a de Polignac number, because 145011523055501 - 242 = 140613476544397 is a prime.

It is a super-2 number, since 2×1450115230555012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145011523055801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72505761527750 + 72505761527751.

It is an arithmetic number, because the mean of its divisors is an integer number (72505761527751).

Almost surely, 2145011523055501 is an apocalyptic number.

It is an amenable number.

145011523055501 is a deficient number, since it is larger than the sum of its proper divisors (1).

145011523055501 is an equidigital number, since it uses as much as digits as its factorization.

145011523055501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75000, while the sum is 38.

The spelling of 145011523055501 in words is "one hundred forty-five trillion, eleven billion, five hundred twenty-three million, fifty-five thousand, five hundred one".