Search a number
-
+
3101201320032 = 253210768060139
BaseRepresentation
bin101101001000001110000…
…000001100100001100000
3101222110202001101222222100
4231020032000030201200
5401302230014220112
610332401111010400
7440024442166254
oct55101600144140
911873661358870
103101201320032
11a9623732a352
1242104a069a00
131965991a68aa
14aa15570c264
1555a0917a2dc
hex2d20e00c860

3101201320032 has 36 divisors (see below), whose sum is σ = 8819041254660. Its totient is φ = 1033733773248.

The previous prime is 3101201320027. The next prime is 3101201320073. The reversal of 3101201320032 is 2300231021013.

3101201320032 is a `hidden beast` number, since 310 + 1 + 2 + 0 + 1 + 320 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3101201319987 and 3101201320014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5384029782 + ... + 5384030357.

It is an arithmetic number, because the mean of its divisors is an integer number (244973368185).

Almost surely, 23101201320032 is an apocalyptic number.

3101201320032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3101201320032 is an abundant number, since it is smaller than the sum of its proper divisors (5717839934628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3101201320032 is a wasteful number, since it uses less digits than its factorization.

3101201320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768060155 (or 10768060144 counting only the distinct ones).

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

Adding to 3101201320032 its reverse (2300231021013), we get a palindrome (5401432341045).

The spelling of 3101201320032 in words is "three trillion, one hundred one billion, two hundred one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10768060139 21536120278 32304180417 43072240556 64608360834 86144481112 96912541251 129216721668 172288962224 193825082502 258433443336 344577924448 387650165004 516866886672 775300330008 1033733773344 1550600660016 3101201320032