Search a number
-
+
1323122102022 = 2372231811081051
BaseRepresentation
bin10011010000010000001…
…110010000111100000110
311200111012122122221022010
4103100100032100330012
5133134223224231042
62451500042315050
7164410125205500
oct23202016207406
94614178587263
101323122102022
11470150a29716
1219451aab8a86
1397a01568206
144807a37cd70
152463dd0359c
hex13410390f06

1323122102022 has 96 divisors (see below), whose sum is σ = 3229872033024. Its totient is φ = 359600472000.

The previous prime is 1323122101997. The next prime is 1323122102083. The reversal of 1323122102022 is 2202012213231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1323122102022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683397 + ... + 1764447.

It is an arithmetic number, because the mean of its divisors is an integer number (33644500344).

Almost surely, 21323122102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323122102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614936016512).

1323122102022 is an abundant number, since it is smaller than the sum of its proper divisors (1906749931002).

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

1323122102022 is a wasteful number, since it uses less digits than its factorization.

1323122102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081274 (or 1081267 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1323122102022 its reverse (2202012213231), we get a palindrome (3525134315253).

The spelling of 1323122102022 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 181 294 322 362 483 543 966 1086 1127 1267 2254 2534 3381 3801 4163 6762 7602 8326 8869 12489 17738 24978 26607 29141 53214 58282 87423 174846 203987 407974 611961 1081051 1223922 2162102 3243153 6486306 7567357 15134714 22702071 24864173 45404142 49728346 52971499 74592519 105942998 149185038 158914497 174049211 195670231 317828994 348098422 391340462 522147633 587010693 1044295266 1174021386 1218344477 1369691617 2436688954 2739383234 3655033431 4109074851 4500415313 7310066862 8218149702 9000830626 9587841319 13501245939 19175682638 27002491878 28763523957 31502907191 57527047914 63005814382 94508721573 189017443146 220520350337 441040700674 661561051011 1323122102022