Search a number
-
+
101340144351 = 3216397171143
BaseRepresentation
bin101111001100001010…
…1111110001011011111
3100200120120100201200200
41132120111332023133
53130021034104401
6114315514554543
710215206004615
oct1363025761337
9320516321620
10101340144351
1139a83962416
1217782738a53
139730361b74
144c950316b5
152981c09686
hex179857e2df

101340144351 has 24 divisors (see below), whose sum is σ = 147431995776. Its totient is φ = 67075523280.

The previous prime is 101340144343. The next prime is 101340144361. The reversal of 101340144351 is 153441043101.

It is not a de Polignac number, because 101340144351 - 23 = 101340144343 is a prime.

It is a super-2 number, since 2×1013401443512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101340144331) 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 in 23 ways as a sum of consecutive naturals, for example, 1388886 + ... + 1460028.

It is an arithmetic number, because the mean of its divisors is an integer number (6142999824).

Almost surely, 2101340144351 is an apocalyptic number.

101340144351 is a deficient number, since it is larger than the sum of its proper divisors (46091851425).

101340144351 is a wasteful number, since it uses less digits than its factorization.

101340144351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72283 (or 72280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101340144351 its reverse (153441043101), we get a palindrome (254781187452).

The spelling of 101340144351 in words is "one hundred one billion, three hundred forty million, one hundred forty-four thousand, three hundred fifty-one".

Divisors: 1 3 9 163 489 971 1467 2913 8739 71143 158273 213429 474819 640287 1424457 11596309 34788927 69079853 104366781 207239559 621718677 11260016039 33780048117 101340144351