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10343111401000 = 2353713611085663
BaseRepresentation
bin1001011010000011000101…
…1110110001111000101000
31100121210101012212100212001
42112200301132301320220
52323430143004313000
633555320525100344
72115156641211460
oct226406136617050
940553335770761
1010343111401000
113328541817a44
1211b06930b76b4
135a0474826b61
1427a875b62ba0
1512e0ac33546a
hex968317b1e28

10343111401000 has 128 divisors (see below), whose sum is σ = 27680784168960. Its totient is φ = 3543600768000.

The previous prime is 10343111400967. The next prime is 10343111401009. The reversal of 10343111401000 is 10411134301.

It is not an unprimeable number, because it can be changed into a prime (10343111401009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8984169 + ... + 10069831.

It is an arithmetic number, because the mean of its divisors is an integer number (216256126320).

Almost surely, 210343111401000 is an apocalyptic number.

10343111401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343111401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13840392084480).

10343111401000 is an abundant number, since it is smaller than the sum of its proper divisors (17337672767960).

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

10343111401000 is a wasteful number, since it uses less digits than its factorization.

10343111401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087052 (or 1087038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10343111401000 its reverse (10411134301), we get a palindrome (10353522535301).

The spelling of 10343111401000 in words is "ten trillion, three hundred forty-three billion, one hundred eleven million, four hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1361 1400 1750 2722 3500 5444 6805 7000 9527 10888 13610 19054 27220 34025 38108 47635 54440 68050 76216 95270 136100 170125 190540 238175 272200 340250 381080 476350 680500 952700 1085663 1190875 1361000 1905400 2171326 2381750 4342652 4763500 5428315 7599641 8685304 9527000 10856630 15199282 21713260 27141575 30398564 37998205 43426520 54283150 60797128 75996410 108566300 135707875 151992820 189991025 217132600 271415750 303985640 379982050 542831500 759964100 949955125 1085663000 1477587343 1519928200 1899910250 2955174686 3799820500 5910349372 7387936715 7599641000 10343111401 11820698744 14775873430 20686222802 29551746860 36939683575 41372445604 51715557005 59103493720 73879367150 82744891208 103431114010 147758734300 184698417875 206862228020 258577785025 295517468600 369396835750 413724456040 517155570050 738793671500 1034311140100 1292888925125 1477587343000 2068622280200 2585777850250 5171555700500 10343111401000