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21102103242 = 232112633111303
BaseRepresentation
bin10011101001110010…
…001000101011001010
32000110122022220200100
4103221302020223022
5321204114300432
613405535150230
71344633626613
oct235162105312
960418286610
1021102103242
118a49650550
12410b075376
131cb3b13a2c
141042810c0a
158378ba07c
hex4e9c88aca

21102103242 has 96 divisors (see below), whose sum is σ = 50266884096. Its totient is φ = 6344906400.

The previous prime is 21102103177. The next prime is 21102103291. The reversal of 21102103242 is 24230120112.

It is a happy number.

21102103242 is a `hidden beast` number, since 211 + 0 + 210 + 3 + 242 = 666.

21102103242 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211021032422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16194363 + ... + 16195665.

It is an arithmetic number, because the mean of its divisors is an integer number (523613376).

Almost surely, 221102103242 is an apocalyptic number.

21102103242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102103242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25133442048).

21102103242 is an abundant number, since it is smaller than the sum of its proper divisors (29164780854).

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

21102103242 is a wasteful number, since it uses less digits than its factorization.

21102103242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21102103242 its reverse (24230120112), we get a palindrome (45332223354).

The spelling of 21102103242 in words is "twenty-one billion, one hundred two million, one hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 263 311 526 622 789 933 1303 1578 1866 2367 2606 2799 2893 3421 3909 4734 5598 5786 6842 7818 8679 10263 11727 14333 17358 20526 23454 26037 28666 30789 42999 52074 61578 81793 85998 128997 163586 245379 257994 342689 405233 490758 685378 736137 810466 899723 1028067 1215699 1472274 1799446 2056134 2431398 2699169 3084201 3647097 3769579 4457563 5398338 6168402 7294194 7539158 8097507 8915126 11308737 13372689 16195014 22617474 26745378 33926211 40118067 67852422 80236134 106576279 213152558 319728837 639457674 959186511 1172339069 1918373022 2344678138 3517017207 7034034414 10551051621 21102103242