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11013310020 = 22351036912579
BaseRepresentation
bin10100100000111000…
…11100011001000100
31001102112111010011010
422100130130121010
5140023401410040
65020501242220
7536630406366
oct122034343104
931375433133
1011013310020
1147417a9909
122174403370
1310669079bb
14766976d36
15446d1ce80
hex29071c644

11013310020 has 96 divisors (see below), whose sum is σ = 31193809920. Its totient is φ = 2903034240.

The previous prime is 11013310013. The next prime is 11013310057. The reversal of 11013310020 is 2001331011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11013309978 and 11013310005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4269091 + ... + 4271669.

It is an arithmetic number, because the mean of its divisors is an integer number (324935520).

Almost surely, 211013310020 is an apocalyptic number.

11013310020 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 11013310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596904960).

11013310020 is an abundant number, since it is smaller than the sum of its proper divisors (20180499900).

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

11013310020 is a wasteful number, since it uses less digits than its factorization.

11013310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11013310020 its reverse (2001331011), we get a palindrome (13014641031).

The spelling of 11013310020 in words is "eleven billion, thirteen million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 691 1030 1236 1382 1545 2060 2073 2579 2764 3090 3455 4146 5158 6180 6910 7737 8292 10316 10365 12895 13820 15474 20730 25790 30948 38685 41460 51580 71173 77370 142346 154740 213519 265637 284692 355865 427038 531274 711730 796911 854076 1062548 1067595 1328185 1423460 1593822 1782089 2135190 2656370 3187644 3564178 3984555 4270380 5312740 5346267 7128356 7969110 8910445 10692534 15938220 17820890 21385068 26731335 35641780 53462670 106925340 183555167 367110334 550665501 734220668 917775835 1101331002 1835551670 2202662004 2753327505 3671103340 5506655010 11013310020