Search a number
-
+
1024312215231 = 33208118230413
BaseRepresentation
bin11101110011111011100…
…01000000011010111111
310121220221002010220222000
432321331301000122333
5113240242411341411
62102321301353343
7134001261113004
oct16717561003277
93556832126860
101024312215231
113654545a6058
12146628108853
137579117b906
14378113158ab
151b9a0d7a956
hexee7dc406bf

1024312215231 has 16 divisors (see below), whose sum is σ = 1518228877920. Its totient is φ = 682546625280.

The previous prime is 1024312215221. The next prime is 1024312215247. The reversal of 1024312215231 is 1325122134201.

It is a happy number.

1024312215231 is a `hidden beast` number, since 1 + 0 + 2 + 431 + 221 + 5 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 1024312215231 - 210 = 1024312214207 is a prime.

It is a super-2 number, since 2×10243122152312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1024312215195 and 1024312215204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024312215221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9059020 + ... + 9171393.

It is an arithmetic number, because the mean of its divisors is an integer number (94889304870).

Almost surely, 21024312215231 is an apocalyptic number.

1024312215231 is a deficient number, since it is larger than the sum of its proper divisors (493916662689).

1024312215231 is a wasteful number, since it uses less digits than its factorization.

1024312215231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232503 (or 18232497 counting only the distinct ones).

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

Adding to 1024312215231 its reverse (1325122134201), we get a palindrome (2349434349432).

The spelling of 1024312215231 in words is "one trillion, twenty-four billion, three hundred twelve million, two hundred fifteen thousand, two hundred thirty-one".

Divisors: 1 3 9 27 2081 6243 18729 56187 18230413 54691239 164073717 492221151 37937489453 113812468359 341437405077 1024312215231