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21102301356 = 2232924494657
BaseRepresentation
bin10011101001110010…
…111001000010101100
32000110122200222102220
4103221302321002230
5321204142120411
613405543315340
71344635413323
oct235162710254
960418628386
1021102301356
118a49776384
12410b14bb50
131cb3b82c66
1410428630ba
15837908b06
hex4e9cb90ac

21102301356 has 72 divisors (see below), whose sum is σ = 51119686800. Its totient is φ = 6774964224.

The previous prime is 21102301351. The next prime is 21102301457. The reversal of 21102301356 is 65310320112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102301351) 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 23 ways as a sum of consecutive naturals, for example, 4528980 + ... + 4533636.

It is an arithmetic number, because the mean of its divisors is an integer number (709995650).

Almost surely, 221102301356 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 21102301356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25559843400).

21102301356 is an abundant number, since it is smaller than the sum of its proper divisors (30017385444).

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

21102301356 is a wasteful number, since it uses less digits than its factorization.

21102301356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 21102301356 its reverse (65310320112), we get a palindrome (86412621468).

The spelling of 21102301356 in words is "twenty-one billion, one hundred two million, three hundred one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 449 841 898 1347 1682 1796 2523 2694 3364 4657 5046 5388 9314 10092 13021 13971 18628 26042 27942 39063 52084 55884 78126 135053 156252 270106 377609 405159 540212 755218 810318 1132827 1510436 1620636 2090993 2265654 3916537 4181986 4531308 6272979 7833074 8363972 11749611 12545958 15666148 23499222 25091916 46998444 60638797 121277594 181916391 242555188 363832782 727665564 1758525113 3517050226 5275575339 7034100452 10551150678 21102301356