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21431120310 = 23251015714129
BaseRepresentation
bin10011111101011001…
…001111000110110110
32001022120102201020200
4103331121033012312
5322342331322220
613502331141330
71356040342215
oct237531170666
961276381220
1021431120310
1190a8343986
1241a12a4846
1320370312a2
1410743b907c
1585670b890
hex4fd64f1b6

21431120310 has 96 divisors (see below), whose sum is σ = 56384808480. Its totient is φ = 5647104000.

The previous prime is 21431120171. The next prime is 21431120323. The reversal of 21431120310 is 1302113412.

21431120310 is a `hidden beast` number, since 21 + 4 + 311 + 20 + 310 = 666.

It is a super-2 number, since 2×214311203102 (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 Curzon number.

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, 5188326 + ... + 5192454.

It is an arithmetic number, because the mean of its divisors is an integer number (587341755).

Almost surely, 221431120310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21431120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192404240).

21431120310 is an abundant number, since it is smaller than the sum of its proper divisors (34953688170).

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

21431120310 is a wasteful number, since it uses less digits than its factorization.

21431120310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21431120310 its reverse (1302113412), we get a palindrome (22733233722).

The spelling of 21431120310 in words is "twenty-one billion, four hundred thirty-one million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 571 606 909 1010 1142 1515 1713 1818 2855 3030 3426 4129 4545 5139 5710 8258 8565 9090 10278 12387 17130 20645 24774 25695 37161 41290 51390 57671 61935 74322 115342 123870 173013 185805 288355 346026 371610 417029 519039 576710 834058 865065 1038078 1251087 1730130 2085145 2357659 2502174 2595195 3753261 4170290 4715318 5190390 6255435 7072977 7506522 11788295 12510870 14145954 18766305 21218931 23576590 35364885 37532610 42437862 70729770 106094655 212189310 238123559 476247118 714370677 1190617795 1428741354 2143112031 2381235590 3571853385 4286224062 7143706770 10715560155 21431120310