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202131230200 = 235219360714747
BaseRepresentation
bin1011110000111111110…
…1011100110111111000
3201022201212120101201021
42330033331130313320
511302431043331300
6232505141432224
720414000052064
oct2741775346770
9638655511637
10202131230200
11787a589aa79
123321140b674
13160a3a22c33
149ad717aaa4
1553d0609d1a
hex2f0ff5cdf8

202131230200 has 96 divisors (see below), whose sum is σ = 494860291200. Its totient is φ = 76570669440.

The previous prime is 202131230173. The next prime is 202131230233. The reversal of 202131230200 is 2032131202.

It is a congruent number.

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, 13699227 + ... + 13713973.

It is an arithmetic number, because the mean of its divisors is an integer number (5154794700).

Almost surely, 2202131230200 is an apocalyptic number.

202131230200 is a gapful number since it is divisible by the number (20) 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 202131230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247430145600).

202131230200 is an abundant number, since it is smaller than the sum of its proper divisors (292729061000).

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

202131230200 is a wasteful number, since it uses less digits than its factorization.

202131230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202131230200 its reverse (2032131202), we get a palindrome (204163361402).

The spelling of 202131230200 in words is "two hundred two billion, one hundred thirty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3607 3800 7214 14428 14747 18035 28856 29494 36070 58988 68533 72140 73735 90175 117976 137066 144280 147470 180350 274132 280193 294940 342665 360700 368675 548264 560386 589880 685330 721400 737350 1120772 1370660 1400965 1474700 1713325 2241544 2741320 2801930 2949400 3426650 5603860 6853300 7004825 11207720 13706600 14009650 28019300 53192429 56038600 106384858 212769716 265962145 425539432 531924290 1010656151 1063848580 1329810725 2021312302 2127697160 2659621450 4042624604 5053280755 5319242900 8085249208 10106561510 10638485800 20213123020 25266403775 40426246040 50532807550 101065615100 202131230200