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11203014004 = 22713194139509
BaseRepresentation
bin10100110111100000…
…00110110101110100
31001220202110002002121
422123300012311310
5140420432422004
65051355245324
7544423022260
oct123360066564
931822402077
1011203014004
11482989a266
122207a49844
131096cc8790
14783c390a0
154587e1854
hex29bc06d74

11203014004 has 96 divisors (see below), whose sum is σ = 26019705600. Its totient is φ = 4096189440.

The previous prime is 11203013999. The next prime is 11203014007. The reversal of 11203014004 is 40041030211.

11203014004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112030140042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203014007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263802 + ... + 303310.

It is an arithmetic number, because the mean of its divisors is an integer number (271038600).

Almost surely, 211203014004 is an apocalyptic number.

11203014004 is a gapful number since it is divisible by the number (14) 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 11203014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009852800).

11203014004 is an abundant number, since it is smaller than the sum of its proper divisors (14816691596).

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

11203014004 is a wasteful number, since it uses less digits than its factorization.

11203014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39593 (or 39591 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11203014004 its reverse (40041030211), we get a palindrome (51244044215).

The spelling of 11203014004 in words is "eleven billion, two hundred three million, fourteen thousand, four".

Divisors: 1 2 4 7 13 14 19 26 28 38 41 52 76 82 91 133 164 182 247 266 287 364 494 532 533 574 779 988 1066 1148 1558 1729 2132 3116 3458 3731 5453 6916 7462 10127 10906 14924 20254 21812 39509 40508 70889 79018 141778 158036 276563 283556 513617 553126 750671 1027234 1106252 1501342 1619869 2054468 3002684 3239738 3595319 5254697 6479476 7190638 9758723 10509394 11339083 14381276 19517446 21018788 21058297 22678166 30777511 39034892 42116594 45356332 61555022 68311061 84233188 123110044 136622122 147408079 215442577 273244244 294816158 400107643 430885154 589632316 800215286 861770308 1600430572 2800753501 5601507002 11203014004