Search a number
-
+
103011221311 = 4757110973499
BaseRepresentation
bin101111111101111110…
…0100111111100111111
3100211220000210020022221
41133323330213330333
53141431333040221
6115153411550211
710304466635245
oct1377374477477
9324800706287
10103011221311
113a761170259
1217b6a2bb367
1399386226bb
144db2d48795
152a2d798541
hex17fbf27f3f

103011221311 has 16 divisors (see below), whose sum is σ = 105513408000. Its totient is φ = 100522445760.

The previous prime is 103011221309. The next prime is 103011221321. The reversal of 103011221311 is 113122110301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103011221311 - 21 = 103011221309 is a prime.

It is a super-2 number, since 2×1030112213112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011221321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29438440 + ... + 29441938.

It is an arithmetic number, because the mean of its divisors is an integer number (6594588000).

Almost surely, 2103011221311 is an apocalyptic number.

103011221311 is a deficient number, since it is larger than the sum of its proper divisors (2502186689).

103011221311 is a wasteful number, since it uses less digits than its factorization.

103011221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 103011221311 its reverse (113122110301), we get a palindrome (216133331612).

The spelling of 103011221311 in words is "one hundred three billion, eleven million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 47 571 1097 3499 26837 51559 164453 626387 1997929 3838403 29440189 93902663 180404941 2191728113 103011221311