Search a number
-
+
150033322131 = 37112582710133
BaseRepresentation
bin1000101110111010101…
…1101101000010010011
3112100021002011110020120
42023232223231002103
54424232012302011
6152531354441323
713560652124220
oct2135653550223
9470232143216
10150033322131
11586a0998600
12250b1a33243
13111c04485b4
147393d86947
153d819b2a06
hex22eeaed093

150033322131 has 48 divisors (see below), whose sum is σ = 251363411712. Its totient is φ = 77918322240.

The previous prime is 150033322123. The next prime is 150033322151. The reversal of 150033322131 is 131223330051.

It is not a de Polignac number, because 150033322131 - 23 = 150033322123 is a prime.

It is a super-2 number, since 2×1500333221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150033322151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14801341 + ... + 14811473.

It is an arithmetic number, because the mean of its divisors is an integer number (5236737744).

Almost surely, 2150033322131 is an apocalyptic number.

150033322131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

150033322131 is a deficient number, since it is larger than the sum of its proper divisors (101330089581).

150033322131 is a wasteful number, since it uses less digits than its factorization.

150033322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15992 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 150033322131 its reverse (131223330051), we get a palindrome (281256652182).

The spelling of 150033322131 in words is "one hundred fifty billion, thirty-three million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 5827 10133 17481 30399 40789 64097 70931 111463 122367 192291 212793 334389 448679 705067 780241 1226093 1346037 2115201 2340723 3678279 4935469 8582651 14806407 25747953 59044991 177134973 413314937 649494901 1239944811 1948484703 4546464307 7144443911 13639392921 21433331733 50011107377 150033322131