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212120112132 = 223219339191453
BaseRepresentation
bin1100010110001101011…
…0000000110000000100
3202021112000102011201100
43011203112000300010
511433410222042012
6241240250100100
721216351126615
oct3054326006004
9667460364640
10212120112132
1181a613008a5
123513a71a630
1317006319966
14a3a3a47c0c
1557b751d8dc
hex3163580c04

212120112132 has 72 divisors (see below), whose sum is σ = 564585781760. Its totient is φ = 66964812480.

The previous prime is 212120112121. The next prime is 212120112137. The reversal of 212120112132 is 231211021212.

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 (212120112137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2273718 + ... + 2365170.

Almost surely, 2212120112132 is an apocalyptic number.

It is an amenable number.

212120112132 is an abundant number, since it is smaller than the sum of its proper divisors (352465669628).

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

212120112132 is a wasteful number, since it uses less digits than its factorization.

212120112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94873 (or 94868 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212120112132 its reverse (231211021212), we get a palindrome (443331133344).

The spelling of 212120112132 in words is "two hundred twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3391 6782 10173 13564 20346 30519 40692 61038 64429 91453 122076 128858 182906 193287 257716 274359 365812 386574 548718 579861 773148 823077 1097436 1159722 1646154 1737607 2319444 3292308 3475214 5212821 6950428 10425642 15638463 20851284 31276926 62553852 310117123 620234246 930351369 1240468492 1860702738 2791054107 3721405476 5582108214 5892225337 11164216428 11784450674 17676676011 23568901348 35353352022 53030028033 70706704044 106060056066 212120112132