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1214412100 = 2252111278693
BaseRepresentation
bin100100001100010…
…0111010101000100
310010122010112012221
41020120213111010
54441342141400
6320301022124
742044222026
oct11030472504
93118115187
101214412100
1157355a870
1229a854944
1316479c355
14b7402016
1571935c1a
hex48627544

1214412100 has 72 divisors (see below), whose sum is σ = 2897814528. Its totient is φ = 438076800.

The previous prime is 1214412097. The next prime is 1214412107. The reversal of 1214412100 is 12144121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1214412107) 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, 135354 + ... + 144046.

It is an arithmetic number, because the mean of its divisors is an integer number (40247424).

Almost surely, 21214412100 is an apocalyptic number.

1214412100 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 1214412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448907264).

1214412100 is an abundant number, since it is smaller than the sum of its proper divisors (1683402428).

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

1214412100 is a wasteful number, since it uses less digits than its factorization.

1214412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8845 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1214412100 is about 34848.4160328701. The cubic root of 1214412100 is about 1066.8958567844.

Adding to 1214412100 its reverse (12144121), we get a palindrome (1226556221).

1214412100 divided by its reverse (12144121) gives a square (100 = 102).

It can be divided in two parts, 1214 and 412100, that added together give a palindrome (413314).

The spelling of 1214412100 in words is "one billion, two hundred fourteen million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 8693 12700 13970 17386 27940 34772 34925 43465 69850 86930 95623 139700 173860 191246 217325 382492 434650 478115 869300 956230 1104011 1912460 2208022 2390575 4416044 4781150 5520055 9562300 11040110 12144121 22080220 24288242 27600275 48576484 55200550 60720605 110401100 121441210 242882420 303603025 607206050 1214412100