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21131231310 = 23257157213641
BaseRepresentation
bin10011101011100001…
…010000000001001110
32000112200010202212200
4103223201100001032
5321234043400220
613412455342330
71345436334240
oct235341200116
960480122780
1021131231310
118a64035932
1241189819a6
131cb9b71b87
141046634090
1583a220890
hex4eb85004e

21131231310 has 96 divisors (see below), whose sum is σ = 63190176192. Its totient is φ = 4799208960.

The previous prime is 21131231309. The next prime is 21131231323. The reversal of 21131231310 is 1313213112.

21131231310 is a `hidden beast` number, since 2 + 11 + 312 + 31 + 310 = 666.

It is a super-2 number, since 2×211312313102 (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 a congruent number.

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, 7911 + ... + 205730.

It is an arithmetic number, because the mean of its divisors is an integer number (658231002).

Almost surely, 221131231310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31595088096).

21131231310 is an abundant number, since it is smaller than the sum of its proper divisors (42058944882).

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

21131231310 is a wasteful number, since it uses less digits than its factorization.

21131231310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213818 (or 213815 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21131231310 its reverse (1313213112), we get a palindrome (22444444422).

The spelling of 21131231310 in words is "twenty-one billion, one hundred thirty-one million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 157 210 314 315 471 630 785 942 1099 1413 1570 2198 2355 2826 3297 4710 5495 6594 7065 9891 10990 14130 16485 19782 32970 49455 98910 213641 427282 640923 1068205 1281846 1495487 1922769 2136410 2990974 3204615 3845538 4486461 6409230 7477435 8972922 9613845 13459383 14954870 19227690 22432305 26918766 33541637 44864610 67083274 67296915 100624911 134593830 167708185 201249822 234791459 301874733 335416370 469582918 503124555 603749466 704374377 1006249110 1173957295 1408748754 1509373665 2113123131 2347914590 3018747330 3521871885 4226246262 7043743770 10565615655 21131231310