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1110010212 = 2232371734817
BaseRepresentation
bin100001000101001…
…0110100101100100
32212100200100202100
41002022112211210
54233130311322
6302051212100
736335634243
oct10212264544
92770610670
101110010212
1151a632113
1226b8a7030
13148c7709c
14a75c695a
15676b1dac
hex42296964

1110010212 has 72 divisors (see below), whose sum is σ = 2898952056. Its totient is φ = 357848064.

The previous prime is 1110010207. The next prime is 1110010219. The reversal of 1110010212 is 2120100111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 375816996 + 734193216 = 19386^2 + 27096^2 .

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 = 1110010194 and 1110010203.

It is not an unprimeable number, because it can be changed into a prime (1110010219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228028 + ... + 232844.

It is an arithmetic number, because the mean of its divisors is an integer number (40263223).

Almost surely, 21110010212 is an apocalyptic number.

1110010212 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 1110010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449476028).

1110010212 is an abundant number, since it is smaller than the sum of its proper divisors (1788941844).

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

1110010212 is a wasteful number, since it uses less digits than its factorization.

1110010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5032 counting only the distinct ones).

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

The square root of 1110010212 is about 33316.8157542104. The cubic root of 1110010212 is about 1035.4019806617.

Adding to 1110010212 its reverse (2120100111), we get a palindrome (3230110323).

It can be divided in two parts, 11100 and 10212, that added together give a palindrome (21312).

The spelling of 1110010212 in words is "one billion, one hundred ten million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 173 222 333 346 444 519 666 692 1038 1332 1557 2076 3114 4817 6228 6401 9634 12802 14451 19203 19268 25604 28902 38406 43353 57609 57804 76812 86706 115218 173412 178229 230436 356458 534687 712916 833341 1069374 1604061 1666682 2138748 2500023 3208122 3333364 5000046 6416244 7500069 10000092 15000138 30000276 30833617 61667234 92500851 123334468 185001702 277502553 370003404 555005106 1110010212