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13131103020210 = 2325723214192641
BaseRepresentation
bin1011111100010101001010…
…1110110010010010110010
31201111022200010222000011200
42333011102232302102302
53210114444333121320
643532202341152030
72523455655031200
oct277052256622262
951438603860150
1013131103020210
11420296236727a
121580a8b9bb616
1374334722a516
14335797bb8070
1517b88427b290
hexbf152bb24b2

13131103020210 has 144 divisors (see below), whose sum is σ = 39716551449432. Its totient is φ = 3001269196800.

The previous prime is 13131103020209. The next prime is 13131103020229. The reversal of 13131103020210 is 1202030113131.

13131103020210 is a `hidden beast` number, since 1 + 31 + 311 + 0 + 302 + 0 + 21 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12524400674289 + 606702345921 = 3538983^2 + 778911^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141695490 + ... + 141788130.

Almost surely, 213131103020210 is an apocalyptic number.

13131103020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131103020210 is an abundant number, since it is smaller than the sum of its proper divisors (26585448429222).

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

13131103020210 is a wasteful number, since it uses less digits than its factorization.

13131103020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124809 (or 124799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131103020210 its reverse (1202030113131), we get a palindrome (14333133133341).

The spelling of 13131103020210 in words is "thirteen trillion, one hundred thirty-one billion, one hundred three million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 32141 64282 92641 96423 160705 185282 192846 224987 277923 289269 321410 449974 463205 482115 555846 578538 648487 674961 833769 926410 964230 1124935 1296974 1349922 1389615 1446345 1574909 1667538 1945461 2024883 2249870 2779230 2892690 3149818 3242435 3374805 3890922 4049766 4168845 4539409 4724727 5836383 6484870 6749610 7874545 8337690 9078818 9449454 9727305 10124415 11672766 13618227 14174181 15749090 19454610 20248830 22697045 23623635 27236454 28348362 29181915 40854681 45394090 47247270 58363830 68091135 70870905 81709362 136182270 141741810 204273405 408546810 2977574381 5955148762 8932723143 14887871905 17865446286 20843020667 26798169429 29775743810 41686041334 44663615715 53596338858 62529062001 89327231430 104215103335 125058124002 133990847145 145901144669 187587186003 208430206670 267981694290 291802289338 312645310005 375174372006 437703434007 625290620010 729505723345 875406868014 937935930015 1313110302021 1459011446690 1875871860030 2188517170035 2626220604042 4377034340070 6565551510105 13131103020210