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1315305043000 = 235313283357517
BaseRepresentation
bin10011001000111110010…
…010100011010000111000
311122202000212111012020121
4103020332102203100320
5133022221042334000
62444124235503024
7164012325253114
oct23107622432070
94582025435217
101315305043000
114678aa452563
12192ab8bb7a74
1397056bb87c0
14479380d6744
15243328e2b1a
hex1323e4a3438

1315305043000 has 128 divisors (see below), whose sum is σ = 3326290269120. Its totient is φ = 483933657600.

The previous prime is 1315305042979. The next prime is 1315305043001. The reversal of 1315305043000 is 3405035131.

It is a super-2 number, since 2×13153050430002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315305043001) 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, 3500242 + ... + 3857758.

Almost surely, 21315305043000 is an apocalyptic number.

1315305043000 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 1315305043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663145134560).

1315305043000 is an abundant number, since it is smaller than the sum of its proper divisors (2010985226120).

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

1315305043000 is a wasteful number, since it uses less digits than its factorization.

1315305043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357834 (or 357820 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 1315305043000 in words is "one trillion, three hundred fifteen billion, three hundred five million, forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 283 325 500 520 566 650 1000 1132 1300 1415 1625 2264 2600 2830 3250 3679 5660 6500 7075 7358 11320 13000 14150 14716 18395 28300 29432 35375 36790 56600 70750 73580 91975 141500 147160 183950 283000 357517 367900 459875 715034 735800 919750 1430068 1787585 1839500 2860136 3575170 3679000 4647721 7150340 8937925 9295442 14300680 17875850 18590884 23238605 35751700 37181768 44689625 46477210 71503400 89379250 92954420 101177311 116193025 178758500 185908840 202354622 232386050 357517000 404709244 464772100 505886555 580965125 809418488 929544200 1011773110 1161930250 1315305043 2023546220 2323860500 2529432775 2630610086 4047092440 4647721000 5058865550 5261220172 6576525215 10117731100 10522440344 12647163875 13153050430 20235462200 25294327750 26306100860 32882626075 50588655500 52612201720 65765252150 101177311000 131530504300 164413130375 263061008600 328826260750 657652521500 1315305043000