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1001210112 = 2833720693
BaseRepresentation
bin111011101011010…
…100000100000000
32120202221202002000
4323223110010000
54022302210422
6243203224000
733545100630
oct7353240400
92522852060
101001210112
1147417aa81
1223b378000
1312c571c26
1496d846c0
155cd6ecac
hex3bad4100

1001210112 has 144 divisors (see below), whose sum is σ = 3383882880. Its totient is φ = 286046208.

The previous prime is 1001210101. The next prime is 1001210113. The reversal of 1001210112 is 2110121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001210094 and 1001210103.

It is not an unprimeable number, because it can be changed into a prime (1001210113) 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, 38038 + ... + 58730.

Almost surely, 21001210112 is an apocalyptic number.

1001210112 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 1001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691941440).

1001210112 is an abundant number, since it is smaller than the sum of its proper divisors (2382672768).

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

1001210112 is an equidigital number, since it uses as much as digits as its factorization.

1001210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725 (or 20705 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1001210112 is about 31641.9043674682. The cubic root of 1001210112 is about 1000.4032080681.

Adding to 1001210112 its reverse (2110121001), we get a palindrome (3111331113).

The spelling of 1001210112 in words is "one billion, one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 20693 24192 41386 48384 62079 82772 124158 144851 165544 186237 248316 289702 331088 372474 434553 496632 558711 579404 662176 744948 869106 993264 1117422 1158808 1303659 1324352 1489896 1738212 1986528 2234844 2317616 2607318 2648704 2979792 3476424 3910977 3973056 4469688 4635232 5214636 5297408 5959584 6952848 7821954 7946112 8939376 9270464 10429272 11919168 13905696 15643908 15892224 17878752 18540928 20858544 23838336 27811392 31287816 35757504 37081856 41717088 47676672 55622784 62575632 71515008 83434176 111245568 125151264 143030016 166868352 250302528 333736704 500605056 1001210112