Search a number
-
+
321243021112 = 2313475910211091
BaseRepresentation
bin1001010110010111001…
…00110111111100111000
31010201011222102022101211
410223023210313330320
520230401203133422
6403324344452504
732131462424446
oct4531344677470
91121158368354
10321243021112
111142693464a2
125231377a134
13243a6bb16a0
1411796555b96
158552612577
hex4acb937f38

321243021112 has 128 divisors (see below), whose sum is σ = 674971315200. Its totient is φ = 142381555200.

The previous prime is 321243021091. The next prime is 321243021137. The reversal of 321243021112 is 211120342123.

It is a super-2 number, since 2×3212430211122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294447687 + ... + 294448777.

It is an arithmetic number, because the mean of its divisors is an integer number (5273213400).

Almost surely, 2321243021112 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 321243021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337485657600).

321243021112 is an abundant number, since it is smaller than the sum of its proper divisors (353728294088).

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

321243021112 is a wasteful number, since it uses less digits than its factorization.

321243021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2233 counting only the distinct ones).

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

Adding to 321243021112 its reverse (211120342123), we get a palindrome (532363363235).

The spelling of 321243021112 in words is "three hundred twenty-one billion, two hundred forty-three million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 47 52 59 94 104 118 188 236 376 472 611 767 1021 1091 1222 1534 2042 2182 2444 2773 3068 4084 4364 4888 5546 6136 8168 8728 11092 13273 14183 22184 26546 28366 36049 47987 51277 53092 56732 60239 64369 72098 95974 102554 106184 113464 120478 128738 144196 191948 205108 240956 257476 288392 383896 410216 481912 514952 623831 666601 783107 836797 1113911 1247662 1333202 1566214 1673594 2227822 2495324 2666404 2831233 3025343 3132428 3347188 4455644 4990648 5332808 5662466 6050686 6264856 6694376 8911288 11324932 12101372 14480843 22649864 24202744 28961686 36806029 39329459 52353817 57923372 65720749 73612058 78658918 104707634 115846744 131441498 147224116 157317836 209415268 262882996 294448232 314635672 418830536 525765992 680599621 854369737 1361199242 1708739474 2722398484 3088875203 3417478948 5444796968 6177750406 6834957896 12355500812 24711001624 40155377639 80310755278 160621510556 321243021112