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1312322113410 = 2357114327131293
BaseRepresentation
bin10011000110001100011…
…111100100111110000010
311122110022222120200002220
4103012030133210332002
5133000113430112120
62442512241151510
7163545364625310
oct23061437447602
94573288520086
101312322113410
114666096913a0
1219240602b596
139699cc000c9
1447733c950b0
152420aac1b40
hex1318c7e4f82

1312322113410 has 128 divisors (see below), whose sum is σ = 3927677865984. Its totient is φ = 272625212160.

The previous prime is 1312322113387. The next prime is 1312322113523. The reversal of 1312322113410 is 143112232131.

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, 9929724 + ... + 10061016.

It is an arithmetic number, because the mean of its divisors is an integer number (30684983328).

Almost surely, 21312322113410 is an apocalyptic number.

1312322113410 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 1312322113410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963838932992).

1312322113410 is an abundant number, since it is smaller than the sum of its proper divisors (2615355752574).

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

1312322113410 is a wasteful number, since it uses less digits than its factorization.

1312322113410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135648.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1312322113410 its reverse (143112232131), we get a palindrome (1455434345541).

The spelling of 1312322113410 in words is "one trillion, three hundred twelve billion, three hundred twenty-two million, one hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 4327 8654 12981 21635 25962 30289 43270 47597 60578 64905 90867 95194 129810 131293 142791 151445 181734 237985 262586 285582 302890 333179 393879 454335 475970 656465 666358 713955 787758 908670 919051 999537 1312930 1427910 1444223 1665895 1838102 1969395 1999074 2757153 2888446 3331790 3938790 4332669 4595255 4997685 5514306 7221115 8665338 9190510 9995370 10109561 13785765 14442230 20219122 21663345 27571530 30328683 43326690 50547805 60657366 101095610 151643415 303286830 568104811 1136209622 1704314433 2840524055 3408628866 3976733677 5681048110 6249152921 7953467354 8521572165 11930201031 12498305842 17043144330 18747458763 19883668385 23860402062 31245764605 37494917526 39767336770 43744070447 59651005155 62491529210 87488140894 93737293815 119302010310 131232211341 187474587630 218720352235 262464422682 437440704470 656161056705 1312322113410