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11003010020 = 22523103263883
BaseRepresentation
bin10100011111101010…
…01001101111100100
31001101211002211012122
422033311021233210
5140013232310040
65015452405112
7536444020262
oct121765115744
931354084178
1011003010020
114736a04312
122170a76798
13106473c722
14765455432
15445e861b5
hex28fd49be4

11003010020 has 96 divisors (see below), whose sum is σ = 24465272832. Its totient is φ = 4148419968.

The previous prime is 11003010019. The next prime is 11003010047. The reversal of 11003010020 is 2001030011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12460499 + ... + 12461381.

It is an arithmetic number, because the mean of its divisors is an integer number (254846592).

Almost surely, 211003010020 is an apocalyptic number.

11003010020 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 11003010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232636416).

11003010020 is an abundant number, since it is smaller than the sum of its proper divisors (13462262812).

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

11003010020 is a wasteful number, since it uses less digits than its factorization.

11003010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11003010020 its reverse (2001030011), we get a palindrome (13004040031).

The spelling of 11003010020 in words is "eleven billion, three million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 263 412 460 515 526 883 1030 1052 1315 1766 2060 2369 2630 3532 4415 4738 5260 6049 8830 9476 11845 12098 17660 20309 23690 24196 27089 30245 40618 47380 54178 60490 81236 90949 101545 108356 120980 135445 181898 203090 232229 270890 363796 406180 454745 464458 541780 623047 909490 928916 1161145 1246094 1818980 2091827 2322290 2492188 3115235 4183654 4644580 5341267 6230470 8367308 10459135 10682534 12460940 20918270 21365068 23919587 26706335 41836540 47839174 53412670 95678348 106825340 119597935 239195870 478391740 550150501 1100301002 2200602004 2750752505 5501505010 11003010020