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1412212100 = 2252131763901
BaseRepresentation
bin101010000101100…
…1010010110000100
310122102022210210212
41110023022112010
510343011241400
6352044334552
746665414305
oct12413122604
93572283725
101412212100
1166517a942
12334b44458
13196766180
14d57b07ac
1583ea8335
hex542ca584

1412212100 has 72 divisors (see below), whose sum is σ = 3494416968. Its totient is φ = 490752000.

The previous prime is 1412212051. The next prime is 1412212129. The reversal of 1412212100 is 12122141.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 130142464 + 1282069636 = 11408^2 + 35806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9851 + ... + 54050.

It is an arithmetic number, because the mean of its divisors is an integer number (48533569).

Almost surely, 21412212100 is an apocalyptic number.

1412212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1412212100 is an abundant number, since it is smaller than the sum of its proper divisors (2082204868).

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

1412212100 is a wasteful number, since it uses less digits than its factorization.

1412212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63945 (or 63938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1412212100 is about 37579.4105861175. The cubic root of 1412212100 is about 1121.9322777324.

Adding to 1412212100 its reverse (12122141), we get a palindrome (1424334241).

The spelling of 1412212100 in words is "one billion, four hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 63901 127802 255604 319505 639010 830713 1086317 1278020 1597525 1661426 2172634 3195050 3322852 4153565 4345268 5431585 6390100 8307130 10863170 14122121 16614260 20767825 21726340 27157925 28244242 41535650 54315850 56488484 70610605 83071300 108631700 141221210 282442420 353053025 706106050 1412212100