Search a number
-
+
113214001200 = 2435294345001
BaseRepresentation
bin110100101110000010…
…1001001000000110000
3101211020002010011011120
41221130011021000300
53323330241014300
6124002040542240
711115356063226
oct1513405110060
9354202104146
10113214001200
1144017396853
1219b37181980
13a8a332b571
14569ddb4b16
152e2935e3a0
hex1a5c149030

113214001200 has 60 divisors (see below), whose sum is σ = 362662187688. Its totient is φ = 30190400000.

The previous prime is 113214001189. The next prime is 113214001211. The reversal of 113214001200 is 2100412311.

It is an interprime number because it is at equal distance from previous prime (113214001189) and next prime (113214001211).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1132140012003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113214001200.

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 11 ways as a sum of consecutive naturals, for example, 47171301 + ... + 47173700.

Almost surely, 2113214001200 is an apocalyptic number.

113214001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113214001200 is an abundant number, since it is smaller than the sum of its proper divisors (249448186488).

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

113214001200 is a wasteful number, since it uses less digits than its factorization.

113214001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94345022 (or 94345011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 113214001200 its reverse (2100412311), we get a palindrome (115314413511).

The spelling of 113214001200 in words is "one hundred thirteen billion, two hundred fourteen million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 94345001 188690002 283035003 377380004 471725005 566070006 754760008 943450010 1132140012 1415175015 1509520016 1886900020 2264280024 2358625025 2830350030 3773800040 4528560048 4717250050 5660700060 7075875075 7547600080 9434500100 11321400120 14151750150 18869000200 22642800240 28303500300 37738000400 56607000600 113214001200