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2313220223132 = 2271324710619803
BaseRepresentation
bin100001101010010110101…
…010110111000010011100
322012010211021221210111222
4201222112222313002130
5300344433334120012
64530402333232512
7326060516321120
oct41522652670234
98163737853458
102313220223132
11812038568425
12314398932738
1313a19c27cb00
147dd636c5580
154028b0de972
hex21a96ab709c

2313220223132 has 144 divisors (see below), whose sum is σ = 5121629678592. Its totient is φ = 894714013440.

The previous prime is 2313220223051. The next prime is 2313220223159.

2313220223132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 235965743 + ... + 235975545.

It is an arithmetic number, because the mean of its divisors is an integer number (35566872768).

Almost surely, 22313220223132 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 2313220223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560814839296).

2313220223132 is an abundant number, since it is smaller than the sum of its proper divisors (2808409455460).

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

2313220223132 is a wasteful number, since it uses less digits than its factorization.

2313220223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2313220 and 223132, that added together give a palindrome (2536352).

The spelling of 2313220223132 in words is "two trillion, three hundred thirteen billion, two hundred twenty million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 169 182 188 329 338 364 611 658 676 1061 1183 1222 1316 2122 2366 2444 4244 4277 4732 7427 7943 8554 9803 13793 14854 15886 17108 19606 27586 29708 31772 39212 49867 55172 55601 68621 96551 99734 111202 127439 137242 179309 193102 199468 222404 254878 274484 349069 358618 386204 460741 509756 648271 698138 717236 892073 921482 1255163 1296542 1396276 1656707 1784146 1842964 2510326 2593084 3225187 3313414 3568292 4537897 5020652 5989633 6450374 6626828 8427523 9075794 10400983 11596949 11979266 12900748 16855046 18151588 20801966 23193898 23958532 33710092 41603932 41927431 46387796 58992661 72806881 77865229 83854862 117985322 135212779 145613762 155730458 167709724 235970644 270425558 291227524 311460916 488846201 540851116 545056603 946489453 977692402 1090113206 1757766127 1892978906 1955384804 2180226412 3421923407 3515532254 3785957812 6355000613 6843846814 7031064508 12304362889 12710001226 13687693628 24608725778 25420002452 44485004291 49217451556 82615007969 88970008582 165230015938 177940017164 330460031876 578305055783 1156610111566 2313220223132