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10033310340 = 223251032931847
BaseRepresentation
bin10010101100000100…
…00010101010000100
3221220020102222022200
421112002002222010
5131022011412330
64335332354500
7503430505434
oct112602025204
927806388280
1010033310340
1142895a6619
121b40175a30
13c3b881131
146b27542c4
153dac8ca60
hex256082a84

10033310340 has 144 divisors (see below), whose sum is σ = 30851428608. Its totient is φ = 2639100672.

The previous prime is 10033310323. The next prime is 10033310369. The reversal of 10033310340 is 4301333001.

10033310340 is a `hidden beast` number, since 10 + 0 + 3 + 3 + 310 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5431297 + ... + 5433143.

It is an arithmetic number, because the mean of its divisors is an integer number (214246032).

Almost surely, 210033310340 is an apocalyptic number.

10033310340 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 10033310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425714304).

10033310340 is an abundant number, since it is smaller than the sum of its proper divisors (20818118268).

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

10033310340 is a wasteful number, since it uses less digits than its factorization.

10033310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10033310340 its reverse (4301333001), we get a palindrome (14334643341).

The spelling of 10033310340 in words is "ten billion, thirty-three million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 293 309 412 515 586 618 879 927 1030 1172 1236 1465 1545 1758 1847 1854 2060 2637 2930 3090 3516 3694 3708 4395 4635 5274 5541 5860 6180 7388 8790 9235 9270 10548 11082 13185 16623 17580 18470 18540 22164 26370 27705 30179 33246 36940 52740 55410 60358 66492 83115 90537 110820 120716 150895 166230 181074 190241 271611 301790 332460 362148 380482 452685 541171 543222 570723 603580 760964 905370 951205 1082342 1086444 1141446 1358055 1623513 1712169 1810740 1902410 2164684 2282892 2705855 2716110 2853615 3247026 3424338 3804820 4870539 5411710 5432220 5707230 6494052 6848676 8117565 8560845 9741078 10823420 11414460 16235130 17121690 19482156 24352695 32470260 34243380 48705390 55740613 97410780 111481226 167221839 222962452 278703065 334443678 501665517 557406130 668887356 836109195 1003331034 1114812260 1672218390 2006662068 2508327585 3344436780 5016655170 10033310340