Search a number
-
+
2123104013212 = 2271319934983983
BaseRepresentation
bin11110111001010010110…
…111000100101110011100
321111222002202202200002211
4132321102313010232130
5234241104111410322
64303201315130204
7306250332231460
oct36712267045634
97458082680084
102123104013212
11749448958a86
122a357b2a3964
13125291850340
1474a8a1564a0
153a360720b77
hex1ee52dc4b9c

2123104013212 has 96 divisors (see below), whose sum is σ = 4609041920000. Its totient is φ = 833284184832.

The previous prime is 2123104013179. The next prime is 2123104013213.

2123104013212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123104013213) 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 31 ways as a sum of consecutive naturals, for example, 25238173 + ... + 25322155.

Almost surely, 22123104013212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123104013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304520960000).

2123104013212 is an abundant number, since it is smaller than the sum of its proper divisors (2485937906788).

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

2123104013212 is a wasteful number, since it uses less digits than its factorization.

2123104013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84555 (or 84553 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 2123104013212 in words is "two trillion, one hundred twenty-three billion, one hundred four million, thirteen thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 199 349 364 398 698 796 1393 1396 2443 2587 2786 4537 4886 5174 5572 9074 9772 10348 18109 18148 31759 36218 63518 69451 72436 83983 127036 138902 167966 277804 335932 486157 587881 902863 972314 1091779 1175762 1805726 1944628 2183558 2351524 3611452 4367116 6320041 7642453 12640082 15284906 16712617 25280164 29310067 30569812 33425234 58620134 66850468 116988319 117240268 205170469 217264021 233976638 381030871 410340938 434528042 467953276 762061742 820681876 869056084 1520848147 1524123484 2667216097 3041696294 5334432194 5832703333 6083392588 10668864388 11665406666 23330813332 40828923331 75825143329 81657846662 151650286658 163315693324 303300573316 530776003303 1061552006606 2123104013212