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1343013431100 = 22352113710999291
BaseRepresentation
bin10011100010110001110…
…101101010011100111100
311202101112220201011001220
4103202301311222130330
5134000442414243400
62504545530433340
7166013060544525
oct23426165523474
94671486634056
101343013431100
11478629084660
12198350592850
1399851584713
144900605784c
1524e052557a0
hex138b1d6a73c

1343013431100 has 144 divisors (see below), whose sum is σ = 4353607767936. Its totient is φ = 316779552000.

The previous prime is 1343013431041. The next prime is 1343013431171. The reversal of 1343013431100 is 11343103431.

It is a super-2 number, since 2×13430134311002 (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 5377546 + ... + 5621745.

Almost surely, 21343013431100 is an apocalyptic number.

1343013431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343013431100 is an abundant number, since it is smaller than the sum of its proper divisors (3010594336836).

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

1343013431100 is a wasteful number, since it uses less digits than its factorization.

1343013431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10999356 (or 10999349 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1343013431100 its reverse (11343103431), we get a palindrome (1354356534531).

The spelling of 1343013431100 in words is "one trillion, three hundred forty-three billion, thirteen million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 10999291 21998582 32997873 43997164 54996455 65995746 109992910 120992201 131991492 164989365 219985820 241984402 274982275 329978730 362976603 406973767 483968804 549964550 604961005 659957460 725953206 813947534 824946825 1099929100 1209922010 1220921301 1451906412 1627895068 1649893650 1814883015 2034868835 2419844020 2441842602 3024805025 3299787300 3629766030 4069737670 4476711437 4883685204 6049610050 6104606505 7259532060 8139475340 8953422874 9074415075 10174344175 12099220100 12209213010 13430134311 17906845748 18148830150 20348688350 22383557185 24418426020 26860268622 30523032525 36297660300 40697376700 44767114370 53720537244 61046065050 67150671555 89534228740 111917785925 122092130100 134301343110 223835571850 268602686220 335753357775 447671143700 671506715550 1343013431100