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10221131320 = 23519101133157
BaseRepresentation
bin10011000010011101…
…00001011000111000
3222101022212021021021
421201032201120320
5131413102200240
64410122152224
7511201116451
oct114116413070
928338767237
1010221131320
114375620274
121b93052674
13c6b762aca
146cd686128
153ec4dd54a
hex2613a1638

10221131320 has 64 divisors (see below), whose sum is σ = 24447808800. Its totient is φ = 3834892800.

The previous prime is 10221131317. The next prime is 10221131351. The reversal of 10221131320 is 2313112201.

It is a junction number, because it is equal to n+sod(n) for n = 10221131294 and 10221131303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10182 + ... + 143338.

Almost surely, 210221131320 is an apocalyptic number.

10221131320 is a gapful number since it is divisible by the number (10) 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 10221131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223904400).

10221131320 is an abundant number, since it is smaller than the sum of its proper divisors (14226677480).

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

10221131320 is a wasteful number, since it uses less digits than its factorization.

10221131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133288 (or 133284 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10221131320 its reverse (2313112201), we get a palindrome (12534243521).

The spelling of 10221131320 in words is "ten billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 760 808 1010 1919 2020 3838 4040 7676 9595 15352 19190 38380 76760 133157 266314 532628 665785 1065256 1331570 2529983 2663140 5059966 5326280 10119932 12649915 13448857 20239864 25299830 26897714 50599660 53795428 67244285 101199320 107590856 134488570 255528283 268977140 511056566 537954280 1022113132 1277641415 2044226264 2555282830 5110565660 10221131320