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21130012020 = 223513116323293
BaseRepresentation
bin10011101011011100…
…100110010101110100
32000112120211211022210
4103223130212111310
5321233240341040
613412413253420
71345423065405
oct235334462564
960476754283
1021130012020
118a63382857
124118494270
131cb9835bc0
1410463d79ac
1583a07e480
hex4eb726574

21130012020 has 96 divisors (see below), whose sum is σ = 63772636032. Its totient is φ = 5196538368.

The previous prime is 21130011983. The next prime is 21130012039. The reversal of 21130012020 is 2021003112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21130011987 and 21130012005.

It is a congruent number.

It is an unprimeable number.

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, 895494 + ... + 918786.

It is an arithmetic number, because the mean of its divisors is an integer number (664298292).

Almost surely, 221130012020 is an apocalyptic number.

21130012020 is a gapful number since it is divisible by the number (20) 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 21130012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31886318016).

21130012020 is an abundant number, since it is smaller than the sum of its proper divisors (42642624012).

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

21130012020 is a wasteful number, since it uses less digits than its factorization.

21130012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24481 (or 24479 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21130012020 its reverse (2021003112), we get a palindrome (23151015132).

The spelling of 21130012020 in words is "twenty-one billion, one hundred thirty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1163 2326 3489 4652 5815 6978 11630 13956 15119 17445 23260 23293 30238 34890 45357 46586 60476 69780 69879 75595 90714 93172 116465 139758 151190 181428 226785 232930 279516 302380 302809 349395 453570 465860 605618 698790 907140 908427 1211236 1397580 1514045 1816854 3028090 3633708 4542135 6056180 9084270 18168540 27089759 54179518 81269277 108359036 135448795 162538554 270897590 325077108 352166867 406346385 541795180 704333734 812692770 1056500601 1408667468 1625385540 1760834335 2113001202 3521668670 4226002404 5282503005 7043337340 10565006010 21130012020