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1331122212 = 2232737367389
BaseRepresentation
bin100111101010111…
…0101000000100100
310102202202000101200
41033111311000210
510211231402322
6340030322500
744662231530
oct11725650044
93382660350
101331122212
11623424902
12311959430
13182a139a4
14c8b02bc0
157bcdb8ac
hex4f575024

1331122212 has 144 divisors (see below), whose sum is σ = 3970337280. Its totient is φ = 368084736.

The previous prime is 1331122201. The next prime is 1331122283. The reversal of 1331122212 is 2122211331.

1331122212 is a `hidden beast` number, since 1 + 331 + 122 + 212 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 3421714 + ... + 3422102.

Almost surely, 21331122212 is an apocalyptic number.

1331122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985168640).

1331122212 is an abundant number, since it is smaller than the sum of its proper divisors (2639215068).

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

1331122212 is a wasteful number, since it uses less digits than its factorization.

1331122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 805 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1331122212 is about 36484.5475783927. The cubic root of 1331122212 is about 1100.0336661872.

Adding to 1331122212 its reverse (2122211331), we get a palindrome (3453333543).

The spelling of 1331122212 in words is "one billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 367 389 444 518 666 734 777 778 1036 1101 1167 1332 1468 1554 1556 2202 2331 2334 2569 2723 3108 3303 3501 4404 4662 4668 5138 5446 6606 7002 7707 8169 9324 10276 10892 13212 13579 14004 14393 15414 16338 23121 24507 27158 28786 30828 32676 40737 43179 46242 49014 54316 57572 81474 86358 92484 95053 98028 100751 122211 129537 142763 162948 172716 190106 201502 244422 259074 285159 285526 302253 380212 403004 428289 488844 518148 570318 571052 604506 855477 856578 906759 999341 1140636 1209012 1284867 1710954 1713156 1813518 1998682 2569734 2998023 3421908 3627036 3997364 5139468 5282231 5996046 8994069 10564462 11992092 15846693 17988138 21128924 31693386 35976276 36975617 47540079 63386772 73951234 95080158 110926851 147902468 190160316 221853702 332780553 443707404 665561106 1331122212