Search a number
-
+
320232103010001 = 327133710567669967
BaseRepresentation
bin100100011001111111101100…
…0101111101101111011010001
31112222211220000212011122202200
41020303333120233231323101
5313433140321332310001
63053024332555233413
7124311002016526230
oct11063773057557321
91488756025148680
10320232103010001
1193043743796286
122babb163448869
131098b9b09a2a10
145911460610b17
152704e8a202086
hex1233fd8beded1

320232103010001 has 48 divisors (see below), whose sum is σ = 584688043989504. Its totient is φ = 164348403311232.

The previous prime is 320232103009967. The next prime is 320232103010117. The reversal of 320232103010001 is 100010301232023.

320232103010001 is a `hidden beast` number, since 320 + 2 + 3 + 210 + 30 + 100 + 0 + 1 = 666.

It is not a de Polignac number, because 320232103010001 - 26 = 320232103009937 is a prime.

It is a super-3 number, since 3×3202321030100013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (320232103010801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5283804681 + ... + 5283865286.

It is an arithmetic number, because the mean of its divisors is an integer number (12181000916448).

Almost surely, 2320232103010001 is an apocalyptic number.

It is an amenable number.

320232103010001 is a deficient number, since it is larger than the sum of its proper divisors (264455940979503).

320232103010001 is a wasteful number, since it uses less digits than its factorization.

320232103010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567670030 (or 10567670027 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320232103010001 its reverse (100010301232023), we get a palindrome (420242404242024).

The spelling of 320232103010001 in words is "three hundred twenty trillion, two hundred thirty-two billion, one hundred three million, ten thousand, one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 10567669967 31703009901 73973689769 95109029703 137379709571 221921069307 391003788779 412139128713 665763207921 961657966997 1173011366337 1236417386139 2737026521453 2884973900991 3519034099011 5083049254127 8211079564359 8654921702973 15249147762381 24633238693077 35581344778889 45747443287143 106744034336667 320232103010001