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2102321111112 = 2333337214313477
BaseRepresentation
bin11110100101111100000…
…110100110000001001000
321102222110101001212002000
4132211330012212001020
5233421023201023422
64245443141311000
7304613322412245
oct36457406460110
97388411055060
102102321111112
11740653507032
1229b53b105460
1312332bbcb031
1473a77cb65cc
1539a45da8cac
hex1e97c1a6048

2102321111112 has 128 divisors (see below), whose sum is σ = 5860277529600. Its totient is φ = 698316401664.

The previous prime is 2102321111063. The next prime is 2102321111113. The reversal of 2102321111112 is 2111111232012.

It is a happy number.

2102321111112 is a `hidden beast` number, since 210 + 232 + 1 + 111 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2102321111113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155986518 + ... + 155999994.

It is an arithmetic number, because the mean of its divisors is an integer number (45783418200).

Almost surely, 22102321111112 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 2102321111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930138764800).

2102321111112 is an abundant number, since it is smaller than the sum of its proper divisors (3757956418488).

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

2102321111112 is a wasteful number, since it uses less digits than its factorization.

2102321111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15972 (or 15962 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2102321111112 its reverse (2111111232012), we get a palindrome (4213432343124).

The spelling of 2102321111112 in words is "two trillion, one hundred two billion, three hundred twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 337 674 1011 1348 2022 2143 2696 3033 4044 4286 6066 6429 8088 8572 9099 12132 12858 13477 17144 18198 19287 24264 25716 26954 36396 38574 40431 51432 53908 57861 72792 77148 80862 107816 115722 121293 154296 161724 231444 242586 323448 363879 462888 485172 722191 727758 970344 1444382 1455516 2166573 2888764 2911032 4333146 4541749 5777528 6499719 8666292 9083498 12999438 13625247 17332584 18166996 19499157 25998876 27250494 28881211 36333992 38998314 40875741 51997752 54500988 57762422 77996628 81751482 86643633 109001976 115524844 122627223 155993256 163502964 173287266 231049688 245254446 259930899 327005928 346574532 490508892 519861798 693149064 779792697 981017784 1039723596 1559585394 2079447192 3119170788 6238341576 9732968107 19465936214 29198904321 38931872428 58397808642 77863744856 87596712963 116795617284 175193425926 233591234568 262790138889 350386851852 525580277778 700773703704 1051160555556 2102321111112