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131130322210200 = 233521911502659843
BaseRepresentation
bin11101110100001100101000…
…010001100100110110011000
3122012021221021121122221011210
4131310030220101210312120
5114141414344441211300
61142520234405423120
736422565425030265
oct3564145021446630
9565257247587153
10131130322210200
113886706a366575
1212859b2770aaa0
1358226c83cb771
142454a547c626c
1510260020bd050
hex774328464d98

131130322210200 has 96 divisors (see below), whose sum is σ = 427898946196800. Its totient is φ = 33127660344960.

The previous prime is 131130322210171. The next prime is 131130322210207. The reversal of 131130322210200 is 2012223031131.

It is a super-2 number, since 2×1311303222102002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130322210207) 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, 5751318522 + ... + 5751341321.

It is an arithmetic number, because the mean of its divisors is an integer number (4457280689550).

Almost surely, 2131130322210200 is an apocalyptic number.

131130322210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130322210200 is an abundant number, since it is smaller than the sum of its proper divisors (296768623986600).

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

131130322210200 is a wasteful number, since it uses less digits than its factorization.

131130322210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502659881 (or 11502659872 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131130322210200 its reverse (2012223031131), we get a palindrome (133142545241331).

The spelling of 131130322210200 in words is "one hundred thirty-one trillion, one hundred thirty billion, three hundred twenty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 11502659843 23005319686 34507979529 46010639372 57513299215 69015959058 92021278744 115026598430 138031918116 172539897645 218550537017 230053196860 276063836232 287566496075 345079795290 437101074034 460106393720 575132992150 655651611051 690159590580 862699488225 874202148068 1092752685085 1150265984300 1311303222102 1380319181160 1725398976450 1748404296136 2185505370170 2300531968600 2622606444204 3278258055255 3450797952900 4371010740340 5245212888408 5463763425425 6556516110510 6901595905800 8742021480680 10927526850850 13113032221020 16391290276275 21855053701700 26226064442040 32782580552550 43710107403400 65565161105100 131130322210200