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22232003013 = 341171457769
BaseRepresentation
bin10100101101001000…
…010111000111000101
32010101101102202210000
4110231020113013011
5331012343044023
614114020551513
71414633623213
oct245510270705
963341382700
1022232003013
119479427a10
124385552599
132133c32b8c
14110c8d3cb3
158a1baa243
hex52d2171c5

22232003013 has 80 divisors (see below), whose sum is σ = 36868487040. Its totient is φ = 13237862400.

The previous prime is 22232002993. The next prime is 22232003029. The reversal of 22232003013 is 31030023222.

It is a happy number.

It is not a de Polignac number, because 22232003013 - 216 = 22231937477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232003033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28909893 + ... + 28910661.

It is an arithmetic number, because the mean of its divisors is an integer number (460856088).

Almost surely, 222232003013 is an apocalyptic number.

It is an amenable number.

22232003013 is a deficient number, since it is larger than the sum of its proper divisors (14636484027).

22232003013 is a wasteful number, since it uses less digits than its factorization.

22232003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22232003013 its reverse (31030023222), we get a palindrome (53262026235).

The spelling of 22232003013 in words is "twenty-two billion, two hundred thirty-two million, three thousand, thirteen".

Divisors: 1 3 9 11 27 33 71 81 99 213 297 457 639 769 781 891 1371 1917 2307 2343 4113 5027 5751 6921 7029 8459 12339 15081 20763 21087 25377 32447 37017 45243 54599 62289 63261 76131 97341 135729 163797 228393 292023 351433 356917 407187 491391 600589 685179 876069 1054299 1070751 1474173 1801767 2628207 3162897 3212253 3865763 4422519 5405301 9488691 9636759 11597289 16215903 24951743 28466073 28910277 34791867 48647709 74855229 104375601 224565687 274469173 313126803 673697061 823407519 2021091183 2470222557 7410667671 22232003013