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13122200310310 = 25713151480119891
BaseRepresentation
bin1011111011110100000000…
…0101101001001000100110
31201110110200200221111002101
42332331000011221020212
53204443231234412220
643524131113202314
72523022233164560
oct276750005511046
951413620844071
1013122200310310
1141aa103a86593
12157b20640039a
13742558982440
1433519168a330
1517b5128bb30a
hexbef40169226

13122200310310 has 128 divisors (see below), whose sum is σ = 29270808741888. Its totient is φ = 4124390400000.

The previous prime is 13122200310287. The next prime is 13122200310337. The reversal of 13122200310310 is 1301300222131.

It is a super-2 number, since 2×131222003103102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659695465 + ... + 659715355.

It is an arithmetic number, because the mean of its divisors is an integer number (228678193296).

Almost surely, 213122200310310 is an apocalyptic number.

13122200310310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122200310310 is an abundant number, since it is smaller than the sum of its proper divisors (16148608431578).

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

13122200310310 is a wasteful number, since it uses less digits than its factorization.

13122200310310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24870.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13122200310310 its reverse (1301300222131), we get a palindrome (14423500532441).

The spelling of 13122200310310 in words is "thirteen trillion, one hundred twenty-two billion, two hundred million, three hundred ten thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 151 182 302 455 755 910 1057 1510 1963 2114 3926 4801 5285 9602 9815 10570 13741 19630 19891 24005 27482 33607 39782 48010 62413 67214 68705 99455 124826 137410 139237 168035 198910 258583 278474 312065 336070 436891 517166 624130 696185 724951 873782 1292915 1392370 1449902 1810081 2184455 2585830 3003541 3620162 3624755 4368910 5074657 6007082 7249510 9050405 9424363 10149314 15017705 18100810 18848726 21024787 25373285 30035410 39046033 42049574 47121815 50746570 65970541 78092066 94243630 95496691 105123935 131941082 190993382 195230165 210247870 273322231 329852705 390460330 477483455 546644462 659705410 668476837 954966910 1241456983 1336953674 1366611155 2482913966 2733222310 3342384185 6207284915 6684768370 8690198881 12414569830 14420000341 17380397762 28840000682 43450994405 72100001705 86901988810 100940002387 144200003410 187460004433 201880004774 374920008866 504700011935 937300022165 1009400023870 1312220031031 1874600044330 2624440062062 6561100155155 13122200310310