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150211280041 = 59265692
BaseRepresentation
bin1000101111100101001…
…0100011110010101001
3112100201111000122121021
42023321102203302221
54430113041430131
6153001153012441
713565242546024
oct2137122436251
9470644018537
10150211280041
1158782395a59
1225141554121
131121b285b34
1473ad86c1bb
153d92415e11
hex22f94a3ca9

150211280041 has 9 divisors (see below), whose sum is σ = 152823650071. Its totient is φ = 147642847024.

The previous prime is 150211280003. The next prime is 150211280117. The reversal of 150211280041 is 140082112051.

The square root of 150211280041 is 387571.

It is a perfect power (a square), and thus also a powerful number.

150211280041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135151081641 + 15060198400 = 367629^2 + 122720^2 .

It is not a de Polignac number, because 150211280041 - 29 = 150211279529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 150211279988 and 150211280015.

It is not an unprimeable number, because it can be changed into a prime (150211280741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22863405 + ... + 22869973.

Almost surely, 2150211280041 is an apocalyptic number.

150211280041 is the 387571-st square number.

150211280041 is the 193786-th centered octagonal number.

It is an amenable number.

150211280041 is a deficient number, since it is larger than the sum of its proper divisors (2612370030).

150211280041 is an frugal number, since it uses more digits than its factorization.

150211280041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13256 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

Multiplying 150211280041 by its sum of digits (25), we get a square (3755282001025 = 19378552).

Adding to 150211280041 its reverse (140082112051), we get a palindrome (290293392092).

The spelling of 150211280041 in words is "one hundred fifty billion, two hundred eleven million, two hundred eighty thousand, forty-one".

Divisors: 1 59 3481 6569 387571 22866689 43151761 2545953899 150211280041