Search a number
-
+
131213230200 = 233252135607403
BaseRepresentation
bin111101000110011101…
…0110000000001111000
3110112200110211201120200
41322030322300001320
54122211041331300
6140140054522200
712323405024433
oct1721472600170
9415613751520
10131213230200
11507134a1a18
122151b066360
13c4b134bc20
1464ca68081a
15362e614200
hex1e8ceb0078

131213230200 has 144 divisors (see below), whose sum is σ = 474554600520. Its totient is φ = 32298635520.

The previous prime is 131213230199. The next prime is 131213230229. The reversal of 131213230200 is 2032312131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2780302 + ... + 2827101.

Almost surely, 2131213230200 is an apocalyptic number.

131213230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213230200 is an abundant number, since it is smaller than the sum of its proper divisors (343341370320).

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

131213230200 is a wasteful number, since it uses less digits than its factorization.

131213230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607438 (or 5607426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131213230200 its reverse (2032312131), we get a palindrome (133245542331).

The spelling of 131213230200 in words is "one hundred thirty-one billion, two hundred thirteen million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 5607403 11214806 16822209 22429612 28037015 33644418 44859224 50466627 56074030 67288836 72896239 84111045 100933254 112148060 134577672 140185075 145792478 168222090 201866508 218688717 224296120 252333135 280370150 291584956 336444180 364481195 403733016 420555225 437377434 504666270 560740300 583169912 656066151 672888360 728962390 841110450 874754868 1009332540 1093443585 1121480600 1261665675 1312132302 1457924780 1682220900 1749509736 1822405975 2018665080 2186887170 2523331350 2624264604 2915849560 3280330755 3364441800 3644811950 4373774340 5046662700 5248529208 5467217925 6560661510 7289623900 8747548680 10093325400 10934435850 13121323020 14579247800 16401653775 21868871700 26242646040 32803307550 43737743400 65606615100 131213230200