Search a number
-
+
313433123330232 = 2334483693091559
BaseRepresentation
bin100011101000100001101010…
…1111110100001100010111000
31112002202220200021102000010000
41013101003111332201202320
5312040242014033031412
63030341104500553000
7123006536662015413
oct10721032576414270
91462686607360100
10313433123330232
1190962271a318a4
122b1a15329b2760
13105b7802b99849
14575835bbb6b7a
1526381ac81e4dc
hex11d10d5fa18b8

313433123330232 has 40 divisors (see below), whose sum is σ = 877902961181400. Its totient is φ = 104477707776528.

The previous prime is 313433123330227. The next prime is 313433123330237. The reversal of 313433123330232 is 232033321334313.

313433123330232 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 3 + 312 + 3 + 3 + 302 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (313433123330227) and next prime (313433123330237).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313433123330237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 241846545132 + ... + 241846546427.

It is an arithmetic number, because the mean of its divisors is an integer number (21947574029535).

Almost surely, 2313433123330232 is an apocalyptic number.

It is an amenable number.

313433123330232 is an abundant number, since it is smaller than the sum of its proper divisors (564469837851168).

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

313433123330232 is a wasteful number, since it uses less digits than its factorization.

313433123330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483693091577 (or 483693091564 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

Adding to 313433123330232 its reverse (232033321334313), we get a palindrome (545466444664545).

The spelling of 313433123330232 in words is "three hundred thirteen trillion, four hundred thirty-three billion, one hundred twenty-three million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 483693091559 967386183118 1451079274677 1934772366236 2902158549354 3869544732472 4353237824031 5804317098708 8706475648062 11608634197416 13059713472093 17412951296124 26119426944186 34825902592248 39179140416279 52238853888372 78358280832558 104477707776744 156716561665116 313433123330232