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1051214112 = 25351310399
BaseRepresentation
bin111110101010000…
…100000100100000
32201021001012200000
4332222010010200
54123102322422
6252151100000
735023113114
oct7652040440
92637035600
101051214112
1149a4237a3
12254071600
13139a2c0b0
149d87d744
156244acac
hex3ea84120

1051214112 has 144 divisors (see below), whose sum is σ = 3338899200. Its totient is φ = 323419392.

The previous prime is 1051214093. The next prime is 1051214119. The reversal of 1051214112 is 2114121501.

1051214112 is a `hidden beast` number, since 1 + 0 + 512 + 141 + 12 = 666.

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

It is a super-2 number, since 2×10512141122 = 2210102218535897088, which contains 22 as substring.

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 (1051214119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95889 + ... + 106287.

It is an arithmetic number, because the mean of its divisors is an integer number (23186800).

Almost surely, 21051214112 is an apocalyptic number.

1051214112 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 1051214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669449600).

1051214112 is an abundant number, since it is smaller than the sum of its proper divisors (2287685088).

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

1051214112 is a wasteful number, since it uses less digits than its factorization.

1051214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437 (or 10417 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1051214112 is about 32422.4322344885. The cubic root of 1051214112 is about 1016.7879579856.

Adding to 1051214112 its reverse (2114121501), we get a palindrome (3165335613).

The spelling of 1051214112 in words is "one billion, fifty-one million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 10399 11232 12636 16848 20798 25272 31197 33696 41596 50544 62394 83192 93591 101088 124788 135187 166384 187182 249576 270374 280773 332768 374364 405561 499152 540748 561546 748728 811122 842319 998304 1081496 1123092 1216683 1497456 1622244 1684638 2162992 2246184 2433366 2526957 2994912 3244488 3369276 3650049 4325984 4492368 4866732 5053914 6488976 6738552 7300098 8984736 9733464 10107828 10950147 12977952 13477104 14600196 19466928 20215656 21900294 26954208 29200392 32850441 38933856 40431312 43800588 58400784 65700882 80862624 87601176 116801568 131401764 175202352 262803528 350404704 525607056 1051214112