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10350213000 = 2335313725183
BaseRepresentation
bin10011010001110101…
…11011011110001000
3222201022202022001020
421220322323132020
5132144123304000
64431012552440
7514326234051
oct115072733610
928638668036
1010350213000
114431475246
12200a322720
13c8c4195ba
14702887728
154089d9ba0
hex268ebb788

10350213000 has 128 divisors (see below), whose sum is σ = 32529669120. Its totient is φ = 2739801600.

The previous prime is 10350212981. The next prime is 10350213011. The reversal of 10350213000 is 31205301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 398409 + ... + 423591.

It is an arithmetic number, because the mean of its divisors is an integer number (254138040).

Almost surely, 210350213000 is an apocalyptic number.

10350213000 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 10350213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16264834560).

10350213000 is an abundant number, since it is smaller than the sum of its proper divisors (22179456120).

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

10350213000 is a wasteful number, since it uses less digits than its factorization.

10350213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25344 (or 25330 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10350213000 its reverse (31205301), we get a palindrome (10381418301).

The spelling of 10350213000 in words is "ten billion, three hundred fifty million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 375 411 500 548 600 685 750 822 1000 1096 1370 1500 1644 2055 2740 3000 3288 3425 4110 5480 6850 8220 10275 13700 16440 17125 20550 25183 27400 34250 41100 50366 51375 68500 75549 82200 100732 102750 125915 137000 151098 201464 205500 251830 302196 377745 411000 503660 604392 629575 755490 1007320 1259150 1510980 1888725 2518300 3021960 3147875 3450071 3777450 5036600 6295750 6900142 7554900 9443625 10350213 12591500 13800284 15109800 17250355 18887250 20700426 25183000 27600568 34500710 37774500 41400852 51751065 69001420 75549000 82801704 86251775 103502130 138002840 172503550 207004260 258755325 345007100 414008520 431258875 517510650 690014200 862517750 1035021300 1293776625 1725035500 2070042600 2587553250 3450071000 5175106500 10350213000