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1412110100 = 225217859967
BaseRepresentation
bin101010000101011…
…0001011100010100
310122102010121220002
41110022301130110
510343000010400
6352042230432
746664511032
oct12412613424
93572117802
101412110100
11665110245
12334ab5418
1319672b90b
14d5785552
1583e87ed5
hex542b1714

1412110100 has 72 divisors (see below), whose sum is σ = 3251666880. Its totient is φ = 530449920.

The previous prime is 1412110087. The next prime is 1412110129. The reversal of 1412110100 is 10112141.

It is a congruent number.

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, 1459817 + ... + 1460783.

It is an arithmetic number, because the mean of its divisors is an integer number (45162040).

Almost surely, 21412110100 is an apocalyptic number.

1412110100 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 1412110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625833440).

1412110100 is an abundant number, since it is smaller than the sum of its proper divisors (1839556780).

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

1412110100 is a wasteful number, since it uses less digits than its factorization.

1412110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1412110100 is about 37578.0534354828. The cubic root of 1412110100 is about 1121.9052657731.

Adding to 1412110100 its reverse (10112141), we get a palindrome (1422222241).

The spelling of 1412110100 in words is "one billion, four hundred twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 859 967 1700 1718 1934 3436 3868 4295 4835 8590 9670 14603 16439 17180 19340 21475 24175 29206 32878 42950 48350 58412 65756 73015 82195 85900 96700 146030 164390 292060 328780 365075 410975 730150 821950 830653 1460300 1643900 1661306 3322612 4153265 8306530 14121101 16613060 20766325 28242202 41532650 56484404 70605505 83065300 141211010 282422020 353027525 706055050 1412110100