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1010342343000 = 233531741193441
BaseRepresentation
bin11101011001111010001…
…10001011000101011000
310120120212111100212220210
432230331012023011120
5113023140114434000
62052051142451120
7132665140134354
oct16547506130530
93516774325823
101010342343000
1135a535a05301
12143989733aa0
1374375b8ac23
1436c87c42464
151b4346e9350
hexeb3d18b158

1010342343000 has 128 divisors (see below), whose sum is σ = 3154095023040. Its totient is φ = 269268480000.

The previous prime is 1010342342987. The next prime is 1010342343071. The reversal of 1010342343000 is 3432430101.

1010342343000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5126280 + ... + 5319720.

Almost surely, 21010342343000 is an apocalyptic number.

1010342343000 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 1010342343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577047511520).

1010342343000 is an abundant number, since it is smaller than the sum of its proper divisors (2143752680040).

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

1010342343000 is a wasteful number, since it uses less digits than its factorization.

1010342343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195206 (or 195192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1010342343000 its reverse (3432430101), we get a palindrome (1013774773101).

The spelling of 1010342343000 in words is "one trillion, ten billion, three hundred forty-two million, three hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1741 3000 3482 5223 6964 8705 10446 13928 17410 20892 26115 34820 41784 43525 52230 69640 87050 104460 130575 174100 193441 208920 217625 261150 348200 386882 435250 522300 580323 652875 773764 870500 967205 1044600 1160646 1305750 1547528 1741000 1934410 2321292 2611500 2901615 3868820 4642584 4836025 5223000 5803230 7737640 9672050 11606460 14508075 19344100 23212920 24180125 29016150 38688200 48360250 58032300 72540375 96720500 116064600 145080750 193441000 290161500 336780781 580323000 673561562 1010342343 1347123124 1683903905 2020684686 2694246248 3367807810 4041369372 5051711715 6735615620 8082738744 8419519525 10103423430 13471231240 16839039050 20206846860 25258558575 33678078100 40413693720 42097597625 50517117150 67356156200 84195195250 101034234300 126292792875 168390390500 202068468600 252585585750 336780781000 505171171500 1010342343000