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210430212011334 = 232719543116184681
BaseRepresentation
bin101111110110001010011010…
…000010010111010101000110
31000121001221011021122212122100
4233312022122002113111012
5210040142033233330314
62023314145503012530
762216036551513620
oct5766123202272506
91017057137585570
10210430212011334
116105aa51859a77
121b72695029a146
13905563a01c003
1439d6c3b58bc10
15194db8ce32c09
hexbf629a097546

210430212011334 has 96 divisors (see below), whose sum is σ = 548590801973760. Its totient is φ = 56948062435200.

The previous prime is 210430212011263. The next prime is 210430212011389. The reversal of 210430212011334 is 433110212034012.

210430212011334 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 302 + 1 + 20 + 1 + 1 + 334 = 666.

210430212011334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210430212011298 and 210430212011307.

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, 4909474 + ... + 21094154.

It is an arithmetic number, because the mean of its divisors is an integer number (5714487520560).

Almost surely, 2210430212011334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210430212011334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274295400986880).

210430212011334 is an abundant number, since it is smaller than the sum of its proper divisors (338160589962426).

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

210430212011334 is a wasteful number, since it uses less digits than its factorization.

210430212011334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16190146 (or 16190143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 210430212011334 its reverse (433110212034012), we get a palindrome (643540424045346).

The spelling of 210430212011334 in words is "two hundred ten trillion, four hundred thirty billion, two hundred twelve million, eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 5431 10862 16293 32586 38017 48879 76034 97758 103189 114051 206378 228102 309567 342153 619134 684306 722323 928701 1444646 1857402 2166969 4333938 6500907 13001814 16184681 32369362 48554043 97108086 113292767 145662129 226585534 291324258 307508939 339878301 615017878 679756602 922526817 1019634903 1845053634 2039269806 2152562573 2767580451 4305125146 5535160902 6457687719 12915375438 19373063157 38746126314 87899002511 175798005022 263697007533 527394015066 615293017577 791091022599 1230586035154 1582182045198 1670081047709 1845879052731 3340162095418 3691758105462 5010243143127 5537637158193 10020486286254 11075274316386 11690567333963 15030729429381 23381134667926 30061458858762 35071702001889 70143404003778 105215106005667 210430212011334