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1412217100 = 225276133073
BaseRepresentation
bin101010000101100…
…1011100100001100
310122102100001200001
41110023023210030
510343011421400
6352044414044
746665435010
oct12413134414
93572301601
101412217100
11665183678
12334b47324
13196768528
14d57b2540
1583ea9a6a
hex542cb90c

1412217100 has 72 divisors (see below), whose sum is σ = 3559820768. Its totient is φ = 476236800.

The previous prime is 1412217077. The next prime is 1412217119. The reversal of 1412217100 is 17122141.

It is an unprimeable number.

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, 26164 + ... + 59236.

Almost surely, 21412217100 is an apocalyptic number.

1412217100 is a gapful number since it is divisible by the number (10) 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 1412217100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779910384).

1412217100 is an abundant number, since it is smaller than the sum of its proper divisors (2147603668).

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

1412217100 is a wasteful number, since it uses less digits than its factorization.

1412217100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33155 (or 33148 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 1412217100 is about 37579.4771118492. The cubic root of 1412217100 is about 1121.9336018147.

Adding to 1412217100 its reverse (17122141), we get a palindrome (1429339241).

The spelling of 1412217100 in words is "one billion, four hundred twelve million, two hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 4270 6100 8540 10675 21350 33073 42700 66146 132292 165365 231511 330730 463022 661460 826825 926044 1157555 1653650 2017453 2315110 3307300 4034906 4630220 5787775 8069812 10087265 11575550 14122171 20174530 23151100 28244342 40349060 50436325 56488684 70610855 100872650 141221710 201745300 282443420 353054275 706108550 1412217100