Search a number
-
+
120210132002313 = 32931371996053483
BaseRepresentation
bin11011010101010010011010…
…001101110110011000001001
3120202121222100210012202200210
4123111102122031312120021
5111224010322243033223
61103355434450551333
734214616063553413
oct3325223215663011
9522558323182623
10120210132002313
1135336915709741
1211595641b98549
13520c9c78a3292
1421982b6a359b3
15dd6e1c35e893
hex6d549a376609

120210132002313 has 64 divisors (see below), whose sum is σ = 176664877056000. Its totient is φ = 72490689089280.

The previous prime is 120210132002309. The next prime is 120210132002339. The reversal of 120210132002313 is 313200231012021.

It is not a de Polignac number, because 120210132002313 - 22 = 120210132002309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120210132002313.

It is not an unprimeable number, because it can be changed into a prime (120210132001313) 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 63 ways as a sum of consecutive naturals, for example, 16831270 + ... + 22884752.

It is an arithmetic number, because the mean of its divisors is an integer number (2760388704000).

Almost surely, 2120210132002313 is an apocalyptic number.

It is an amenable number.

120210132002313 is a deficient number, since it is larger than the sum of its proper divisors (56454745053687).

120210132002313 is a wasteful number, since it uses less digits than its factorization.

120210132002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053782.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120210132002313 its reverse (313200231012021), we get a palindrome (433410363014334).

The spelling of 120210132002313 in words is "one hundred twenty trillion, two hundred ten billion, one hundred thirty-two million, two thousand, three hundred thirteen".

Divisors: 1 3 29 31 37 87 93 111 199 597 899 1073 1147 2697 3219 3441 5771 6169 7363 17313 18507 22089 33263 99789 178901 213527 228253 536703 640581 684759 6053483 6619337 18160449 19858011 175551007 187657973 223978871 526653021 562973919 671936613 1204643117 3613929351 5442081217 6495387259 6943345001 16326243651 19486161777 20830035003 34934650393 37343936627 44571795329 104803951179 112031809881 133715385987 201357005029 604071015087 1082974162183 1292582064541 1381725655199 3248922486549 3877746193623 4145176965597 40070044000771 120210132002313