Search a number
-
+
23214151131101 = 733471315114831
BaseRepresentation
bin1010100011100111101110…
…01110110101111111011101
310001012020210002212102001222
411101303313032311333131
511020320040142143401
6121212233411343125
74614111206612000
oct521636716657735
9101166702772058
1023214151131101
117440080138187
12272b0842b1aa5
13cc5114b48658
145a37dc80d537
152a3cc0086c1b
hex151cf73b5fdd

23214151131101 has 32 divisors (see below), whose sum is σ = 27153808588800. Its totient is φ = 19837654998000.

The previous prime is 23214151131053. The next prime is 23214151131113. The reversal of 23214151131101 is 10113115141232.

It is not a de Polignac number, because 23214151131101 - 218 = 23214150868957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214151131121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565237756 + ... + 1565252586.

It is an arithmetic number, because the mean of its divisors is an integer number (848556518400).

Almost surely, 223214151131101 is an apocalyptic number.

It is an amenable number.

23214151131101 is a deficient number, since it is larger than the sum of its proper divisors (3939657457699).

23214151131101 is a wasteful number, since it uses less digits than its factorization.

23214151131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28350 (or 28336 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

Adding to 23214151131101 its reverse (10113115141232), we get a palindrome (33327266272333).

The spelling of 23214151131101 in words is "twenty-three trillion, two hundred fourteen billion, one hundred fifty-one million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 7 49 343 347 2429 13151 14831 17003 92057 103817 119021 644399 726719 4510793 4563397 5087033 5146357 31943779 36024499 195042481 223606453 252171493 1365297367 1565245171 1765200451 9557081569 66899570983 67679740907 473758186349 3316307304443 23214151131101