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2132112211112 = 2313294571546901
BaseRepresentation
bin11111000001101011110…
…010100111110010101000
321112211100120021112112002
4133001223302213302220
5234413031211223422
64311251232110132
7310016504525222
oct37015362476250
97484316245462
102132112211112
11752250839434
122a5274095348
13126098c10b60
14752a26a3412
153a6db4bb692
hex1f06bca7ca8

2132112211112 has 64 divisors (see below), whose sum is σ = 4463431030800. Its totient is φ = 948039321600.

The previous prime is 2132112211111. The next prime is 2132112211133. The reversal of 2132112211112 is 2111122112312.

It can be written as a sum of positive squares in 8 ways, for example, as 878505045796 + 1253607165316 = 937286^2 + 1119646^2 .

It is not an unprimeable number, because it can be changed into a prime (2132112211111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604862 + ... + 2151762.

Almost surely, 22132112211112 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 2132112211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231715515400).

2132112211112 is an abundant number, since it is smaller than the sum of its proper divisors (2331318819688).

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

2132112211112 is a wasteful number, since it uses less digits than its factorization.

2132112211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547406 (or 1547402 counting only the distinct ones).

The product of its digits is 96, while the sum is 20.

Adding to 2132112211112 its reverse (2111122112312), we get a palindrome (4243234323424).

The spelling of 2132112211112 in words is "two trillion, one hundred thirty-two billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 457 754 914 1508 1828 3016 3656 5941 11882 13253 23764 26506 47528 53012 106024 172289 344578 689156 1378312 1546901 3093802 6187604 12375208 20109713 40219426 44860129 80438852 89720258 160877704 179440516 358881032 583181677 706933757 1166363354 1413867514 2332726708 2827735028 4665453416 5655470056 9190138841 18380277682 20501078953 36760555364 41002157906 73521110728 82004315812 164008631624 266514026389 533028052778 1066056105556 2132112211112