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11000303320110 = 23513218731158401
BaseRepresentation
bin1010000000010011010100…
…1010111111110000101110
31102221121201001101221021120
42200010311022333300232
52420212110122220420
635221245232441410
72213513525311446
oct240046512776056
942847631357246
1011000303320110
1135612254a0895
121297b233a9266
1361a42a215100
142a05bb971126
15141223121d40
hexa01352bfc2e

11000303320110 has 96 divisors (see below), whose sum is σ = 28603058305248. Its totient is φ = 2706318950400.

The previous prime is 11000303320067. The next prime is 11000303320163. The reversal of 11000303320110 is 1102330300011.

It is a super-4 number, since 4×110003033201104 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11000303320110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8916910 + ... + 10075310.

It is an arithmetic number, because the mean of its divisors is an integer number (297948524013).

Almost surely, 211000303320110 is an apocalyptic number.

11000303320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000303320110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301529152624).

11000303320110 is an abundant number, since it is smaller than the sum of its proper divisors (17602754985138).

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

11000303320110 is a wasteful number, since it uses less digits than its factorization.

11000303320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160310 (or 1160297 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11000303320110 its reverse (1102330300011), we get a palindrome (12102633620121).

The spelling of 11000303320110 in words is "eleven trillion, three hundred three million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 1873 2535 3746 5070 5619 9365 11238 18730 24349 28095 48698 56190 73047 121745 146094 243490 316537 365235 633074 730470 949611 1158401 1582685 1899222 2316802 3165370 3475203 4748055 5792005 6950406 9496110 11584010 15059213 17376015 30118426 34752030 45177639 75296065 90355278 150592130 195769769 225888195 391539538 451776390 587309307 978848845 1174618614 1957697690 2169685073 2936546535 4339370146 5873093070 6509055219 10848425365 13018110438 21696850730 28205905949 32545276095 56411811898 65090552190 84617717847 141029529745 169235435694 282059059490 366676777337 423088589235 733353554674 846177178470 1100030332011 1833383886685 2200060664022 3666767773370 5500151660055 11000303320110