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131422200202410 = 235131936174903453
BaseRepresentation
bin11101111000011100011101…
…100011110000010010101010
3122020022211200002121012210120
4131320130131203300102222
5114211210131222434120
61143302305244024110
736452640431026635
oct3570343543602252
9566284602535716
10131422200202410
1138969929932137
12128a6604b32036
1358440a26394b0
142464c22d80c1c
15102d8d66d1140
hex77871d8f04aa

131422200202410 has 128 divisors (see below), whose sum is σ = 357652442891520. Its totient is φ = 30638964842496.

The previous prime is 131422200202399. The next prime is 131422200202417. The reversal of 131422200202410 is 14202002224131.

131422200202410 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131422200202417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24350244 + ... + 29253696.

It is an arithmetic number, because the mean of its divisors is an integer number (2794159710090).

Almost surely, 2131422200202410 is an apocalyptic number.

131422200202410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131422200202410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178826221445760).

131422200202410 is an abundant number, since it is smaller than the sum of its proper divisors (226230242689110).

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

131422200202410 is a wasteful number, since it uses less digits than its factorization.

131422200202410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907112.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131422200202410 its reverse (14202002224131), we get a palindrome (145624202426541).

The spelling of 131422200202410 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, two hundred million, two hundred two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3617 3705 7234 7410 10851 18085 21702 36170 47021 54255 68723 94042 108510 137446 141063 206169 235105 282126 343615 412338 470210 687230 705315 893399 1030845 1410630 1786798 2061690 2680197 4466995 4903453 5360394 8933990 9806906 13400985 14710359 24517265 26801970 29420718 49034530 63744889 73551795 93165607 127489778 147103590 186331214 191234667 279496821 318724445 382469334 465828035 558993642 637448890 931656070 956173335 1211152891 1397484105 1912346670 2422305782 2794968210 3633458673 6055764455 7266917346 12111528910 17735789501 18167293365 35471579002 36334586730 53207368503 88678947505 106414737006 177357895010 230565263513 266036842515 336980000519 461130527026 532073685030 673960001038 691695790539 1010940001557 1152826317565 1383391581078 1684900002595 2021880003114 2305652635130 3369800005190 3458478952695 4380740006747 5054700007785 6916957905390 8761480013494 10109400015570 13142220020241 21903700033735 26284440040482 43807400067470 65711100101205 131422200202410