Search a number
-
+
21231023310 = 23257223209317
BaseRepresentation
bin10011110001011101…
…111011010011001110
32000210121220201202200
4103301131323103032
5321440120221220
613430422302330
71351060502100
oct236135732316
960717821680
1021231023310
1190053a5062
1241462879a6
132004741ab3
1410559ad570
15843d83890
hex4f177b4ce

21231023310 has 144 divisors (see below), whose sum is σ = 67005203616. Its totient is φ = 4641791616.

The previous prime is 21231023293. The next prime is 21231023321. The reversal of 21231023310 is 1332013212.

21231023310 is a `hidden beast` number, since 21 + 2 + 310 + 2 + 331 + 0 = 666.

It is a super-2 number, since 2×212310233102 (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 71 ways as a sum of consecutive naturals, for example, 3229 + ... + 206088.

It is an arithmetic number, because the mean of its divisors is an integer number (465313914).

Almost surely, 221231023310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33502601808).

21231023310 is an abundant number, since it is smaller than the sum of its proper divisors (45774180306).

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

21231023310 is a wasteful number, since it uses less digits than its factorization.

21231023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209367 (or 209357 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21231023310 its reverse (1332013212), we get a palindrome (22563036522).

The spelling of 21231023310 in words is "twenty-one billion, two hundred thirty-one million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 105 115 126 138 147 161 207 210 230 245 294 315 322 345 414 441 483 490 630 690 735 805 882 966 1035 1127 1449 1470 1610 2070 2205 2254 2415 2898 3381 4410 4830 5635 6762 7245 10143 11270 14490 16905 20286 33810 50715 101430 209317 418634 627951 1046585 1255902 1465219 1883853 2093170 2930438 3139755 3767706 4395657 4814291 6279510 7326095 8791314 9419265 9628582 10256533 13186971 14442873 14652190 18838530 20513066 21978285 24071455 26373942 28885746 30769599 33700037 43328619 43956570 48142910 51282665 61539198 65934855 67400074 72214365 86657238 92308797 101100111 102565330 131869710 144428730 153847995 168500185 184617594 202200222 216643095 235900259 303300333 307695990 337000370 433286190 461543985 471800518 505500555 606600666 707700777 923087970 1011001110 1179501295 1415401554 1516501665 2123102331 2359002590 3033003330 3538503885 4246204662 7077007770 10615511655 21231023310