Search a number
-
+
2123203231212 = 22373103248623
BaseRepresentation
bin11110111001011000110…
…001100011110111101100
321111222100200110110121120
4132321120301203313230
5234241310011344322
64303215221500540
7306252645456000
oct36713061436754
97458320413546
102123203231212
11749499965a28
122a35a8571750
131252a927bc0b
1474a993c2700
153a3692bda5c
hex1ee58c63dec

2123203231212 has 144 divisors (see below), whose sum is σ = 5834179814400. Its totient is φ = 600727532832.

The previous prime is 2123203231199. The next prime is 2123203231213. The reversal of 2123203231212 is 2121323023212.

It is a super-2 number, since 2×21232032312122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123203231213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43642333 + ... + 43690955.

It is an arithmetic number, because the mean of its divisors is an integer number (40515137600).

Almost surely, 22123203231212 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 2123203231212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917089907200).

2123203231212 is an abundant number, since it is smaller than the sum of its proper divisors (3710976583188).

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

2123203231212 is a wasteful number, since it uses less digits than its factorization.

2123203231212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48857 (or 48738 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2123203231212 its reverse (2121323023212), we get a palindrome (4244526254424).

The spelling of 2123203231212 in words is "two trillion, one hundred twenty-three billion, two hundred three million, two hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 294 309 343 412 588 618 686 721 1029 1236 1372 1442 2058 2163 2884 4116 4326 5047 8652 10094 10609 15141 20188 21218 30282 31827 35329 42436 48623 60564 63654 70658 74263 97246 105987 127308 141316 145869 148526 194492 211974 222789 291738 297052 340361 423948 445578 519841 583476 680722 891156 1021083 1039682 1361444 1559523 2042166 2079364 2382527 3119046 3638887 4084332 4765054 5008169 6238092 7147581 7277774 9530108 10016338 10916661 14295162 14555548 15024507 16677689 20032676 21833322 28590324 30049014 33355378 35057183 43666644 50033067 60098028 66710756 70114366 100066134 105171549 140228732 200132268 210343098 245400281 420686196 490800562 515841407 736200843 981601124 1031682814 1472401686 1547524221 1717801967 2063365628 2944803372 3095048442 3435603934 3610889849 5153405901 6190096884 6871207868 7221779698 10306811802 10832669547 14443559396 20613623604 21665339094 25276228943 43330678188 50552457886 75828686829 101104915772 151657373658 176933602601 303314747316 353867205202 530800807803 707734410404 1061601615606 2123203231212