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210430214334 = 233171312118293
BaseRepresentation
bin1100001111111010011…
…1100100000010111110
3202010011020120110202000
43003332213210002332
511421430113324314
6240400441443130
721126441211104
oct3037647440276
9663136513660
10210430214334
118127440864a
12349487a04a6
1316ac7199632
14a283431c74
155718eb3209
hex30fe9e40be

210430214334 has 128 divisors (see below), whose sum is σ = 501334479360. Its totient is φ = 65195020800.

The previous prime is 210430214329. The next prime is 210430214353. The reversal of 210430214334 is 433412034012.

210430214334 is a `hidden beast` number, since 2 + 10 + 4 + 302 + 14 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210430214298 and 210430214307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25370292 + ... + 25378584.

It is an arithmetic number, because the mean of its divisors is an integer number (3916675620).

Almost surely, 2210430214334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210430214334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250667239680).

210430214334 is an abundant number, since it is smaller than the sum of its proper divisors (290904265026).

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

210430214334 is a wasteful number, since it uses less digits than its factorization.

210430214334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 210430214334 its reverse (433412034012), we get a palindrome (643842248346).

The spelling of 210430214334 in words is "two hundred ten billion, four hundred thirty million, two hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 131 153 211 262 306 393 422 459 633 786 918 1179 1266 1899 2227 2358 3537 3587 3798 4454 5697 6681 7074 7174 8293 10761 11394 13362 16586 20043 21522 24879 27641 32283 40086 49758 55282 60129 64566 74637 82923 96849 120258 140981 149274 165846 193698 223911 248769 281962 422943 447822 469897 497538 746307 845886 939794 1086383 1268829 1409691 1492614 1749823 2172766 2537658 2819382 3259149 3499646 3806487 4229073 5249469 6518298 7612974 8458146 9777447 10498938 12687219 15748407 18468511 19554894 25374438 29332341 29746991 31496814 36937022 47245221 55405533 58664682 59493982 89240973 94490442 110811066 166216599 178481946 229226813 267722919 332433198 458453626 498649797 535445838 687680439 803168757 997299594 1375360878 1606337514 2063041317 3896855821 4126082634 6189123951 7793711642 11690567463 12378247902 23381134926 35071702389 70143404778 105215107167 210430214334