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21311303230032 = 2434353904921529
BaseRepresentation
bin1001101100001111011001…
…01010001010001001010000
32210110100012100211112112020
410312013230222022021100
510243131022111330112
6113154135541131440
74326455650410564
oct466075452121120
983410170745466
1021311303230032
1168770890a8252
1224823343b9b80
13bb785509486a
14539688a8b6a4
1526e55129648c
hex1361eca8a250

21311303230032 has 160 divisors (see below), whose sum is σ = 57406455216000. Its totient is φ = 6806579060736.

The previous prime is 21311303229991. The next prime is 21311303230081. The reversal of 21311303230032 is 23003230311312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21311303229984 and 21311303230011.

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, 989877444 + ... + 989898972.

It is an arithmetic number, because the mean of its divisors is an integer number (358790345100).

Almost surely, 221311303230032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311303230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28703227608000).

21311303230032 is an abundant number, since it is smaller than the sum of its proper divisors (36095151985968).

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

21311303230032 is a wasteful number, since it uses less digits than its factorization.

21311303230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30685 (or 30679 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21311303230032 its reverse (23003230311312), we get a palindrome (44314533541344).

The spelling of 21311303230032 in words is "twenty-one trillion, three hundred eleven billion, three hundred three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 2064 2279 2544 4558 6837 9049 9116 13674 18098 18232 21529 27147 27348 36196 36464 43058 54294 54696 64587 72392 86116 108588 109392 129174 144784 172232 217176 258348 344464 389107 434352 479597 516696 778214 925747 959194 1033392 1141037 1167321 1438791 1556428 1851494 1918388 2282074 2334642 2777241 2877582 3112856 3423111 3702988 3836776 4564148 4669284 5554482 5755164 6225712 6846222 7405976 7673552 9128296 9338568 11108964 11510328 13692444 14811952 18256592 18677136 20622671 22217928 23020656 27384888 41245342 44435856 49064591 54769776 61868013 82490684 98129182 123736026 147193773 164981368 194815921 196258364 247472052 294387546 329962736 389631842 392516728 494944104 584447763 588775092 779263684 785033456 989888208 1168895526 1177550184 1558527368 2337791052 2355100368 3117054736 4675582104 8377084603 9351164208 10325243813 16754169206 20650487626 25131253809 30975731439 33508338412 41300975252 50262507618 61951462878 67016676824 82601950504 100525015236 123902925756 134033353648 165203901008 201050030472 247805851512 402100060944 443985483959 495611703024 887970967918 1331956451877 1775941935836 2663912903754 3551883871672 5327825807508 7103767743344 10655651615016 21311303230032