Search a number
-
+
2303330313132 = 223369857305297
BaseRepresentation
bin100001100001001001001…
…011110110001110101100
322011012022001100022111000
4201201021023312032230
5300214210030010012
64522045122200300
7325260446424222
oct41411113661654
98135261308430
102303330313132
11808922a06692
123124987b3090
13139284329964
147d6a601cb12
153edacc2addc
hex218492f63ac

2303330313132 has 48 divisors (see below), whose sum is σ = 5971702151520. Its totient is φ = 767763265536.

The previous prime is 2303330313091. The next prime is 2303330313143. The reversal of 2303330313132 is 2313130333032.

2303330313132 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 330 + 313 + 13 + 2 = 666.

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 = 2303330313096 and 2303330313105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7391908 + ... + 7697204.

It is an arithmetic number, because the mean of its divisors is an integer number (124410461490).

Almost surely, 22303330313132 is an apocalyptic number.

It is an amenable number.

2303330313132 is an abundant number, since it is smaller than the sum of its proper divisors (3668371838388).

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

2303330313132 is a wasteful number, since it uses less digits than its factorization.

2303330313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375167 (or 375159 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 2303330313132 its reverse (2313130333032), we get a palindrome (4616460646164).

The spelling of 2303330313132 in words is "two trillion, three hundred three billion, three hundred thirty million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 69857 139714 209571 279428 305297 419142 610594 628713 838284 915891 1221188 1257426 1831782 1886139 2514852 2747673 3663564 3772278 5495346 7544556 8243019 10990692 16486038 32972076 21327132529 42654265058 63981397587 85308530116 127962795174 191944192761 255925590348 383888385522 575832578283 767776771044 1151665156566 2303330313132