Search a number
-
+
101331322310233 = 1728372101045477
BaseRepresentation
bin10111000010100100001001…
…011110001000111001011001
3111021210011212002010012112001
4113002210021132020321121
5101240203022002411413
6555302544500121001
730225642426103441
oct2702441136107131
9437704762105461
10101331322310233
112a318410818674
12b446832996161
13447066c552262
141b04668293121
15baacd84694dd
hex5c2909788e59

101331322310233 has 8 divisors (see below), whose sum is σ = 107329807198152. Its totient is φ = 95337039518976.

The previous prime is 101331322310177. The next prime is 101331322310279. The reversal of 101331322310233 is 332013223133101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 167696802064 + 101163625508169 = 409508^2 + 10058013^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101331322310233 is a prime.

It is a super-2 number, since 2×1013313223102332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331322310833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050474510 + ... + 1050570967.

It is an arithmetic number, because the mean of its divisors is an integer number (13416225899769).

Almost surely, 2101331322310233 is an apocalyptic number.

It is an amenable number.

101331322310233 is a deficient number, since it is larger than the sum of its proper divisors (5998484887919).

101331322310233 is a wasteful number, since it uses less digits than its factorization.

101331322310233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101048331.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 101331322310233 its reverse (332013223133101), we get a palindrome (433344545443334).

The spelling of 101331322310233 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred ten thousand, two hundred thirty-three".

Divisors: 1 17 2837 48229 2101045477 35717773109 5960666018249 101331322310233