Search a number
-
+
131221000200 = 23352415334187
BaseRepresentation
bin111101000110101100…
…0011001000000001000
3110112201000110111000110
41322031120121000020
54122220034001300
6140140533234320
712323531045463
oct1721530310010
9415630414013
10131221000200
1150717919704
12215217929a0
13c4b2b3c764
1464cb7042da
15363014b550
hex1e8d619008

131221000200 has 96 divisors (see below), whose sum is σ = 416706766560. Its totient is φ = 34138790400.

The previous prime is 131221000133. The next prime is 131221000213. The reversal of 131221000200 is 2000122131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2642494 + ... + 2691693.

It is an arithmetic number, because the mean of its divisors is an integer number (4340695485).

Almost surely, 2131221000200 is an apocalyptic number.

131221000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221000200 is an abundant number, since it is smaller than the sum of its proper divisors (285485766360).

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

131221000200 is a wasteful number, since it uses less digits than its factorization.

131221000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334247 (or 5334238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 131221000200 its reverse (2000122131), we get a palindrome (133221122331).

The spelling of 131221000200 in words is "one hundred thirty-one billion, two hundred twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 5334187 10668374 16002561 21336748 26670935 32005122 42673496 53341870 64010244 80012805 106683740 128020488 133354675 160025610 213367480 218701667 266709350 320051220 400064025 437403334 533418700 640102440 656105001 800128050 874806668 1066837400 1093508335 1312210002 1600256100 1749613336 2187016670 2624420004 3200512200 3280525005 4374033340 5248840008 5467541675 6561050010 8748066680 10935083350 13122100020 16402625025 21870166700 26244200040 32805250050 43740333400 65610500100 131221000200