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21102028092 = 22334110943721
BaseRepresentation
bin10011101001110001…
…110110010100111100
32000110122012002121000
4103221301312110330
5321204104344332
613405533410300
71344633164535
oct235161662474
960418162530
1021102028092
118a495aa042
12410b039990
131cb3ab8772
1410427d168c
158378a2b7c
hex4e9c7653c

21102028092 has 96 divisors (see below), whose sum is σ = 56558779200. Its totient is φ = 6799334400.

The previous prime is 21102028091. The next prime is 21102028111. The reversal of 21102028092 is 29082020112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102028091) by changing a digit.

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, 460792 + ... + 504512.

It is an arithmetic number, because the mean of its divisors is an integer number (589153950).

Almost surely, 221102028092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102028092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28279389600).

21102028092 is an abundant number, since it is smaller than the sum of its proper divisors (35456751108).

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

21102028092 is a wasteful number, since it uses less digits than its factorization.

21102028092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43884 (or 43876 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 21102028092 in words is "twenty-one billion, one hundred two million, twenty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 109 123 164 218 246 327 369 436 492 654 738 981 1107 1308 1476 1962 2214 2943 3924 4428 4469 5886 8938 11772 13407 17876 26814 40221 43721 53628 80442 87442 120663 131163 160884 174884 241326 262326 393489 482652 524652 786978 1180467 1573956 1792561 2360934 3585122 4721868 4765589 5377683 7170244 9531178 10755366 14296767 16133049 19062356 21510732 28593534 32266098 42890301 48399147 57187068 64532196 85780602 96798294 128670903 171561204 193596588 195389149 257341806 390778298 514683612 586167447 781556596 1172334894 1758502341 2344669788 3517004682 5275507023 7034009364 10551014046 21102028092