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30434022102 = 23112941547709
BaseRepresentation
bin11100010110000000…
…100101001011010110
32220112222222111202210
4130112000211023112
5444312102201402
621551534414250
72125116630261
oct342600451326
986488874683
1030434022102
11119a8237290
125a94361386
132b40289303
141689d47cd8
15bd1cad06c
hex7160252d6

30434022102 has 128 divisors (see below), whose sum is σ = 70594675200. Its totient is φ = 8659123200.

The previous prime is 30434022071. The next prime is 30434022109. The reversal of 30434022102 is 20122043403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30434022109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42924924 + ... + 42925632.

It is an arithmetic number, because the mean of its divisors is an integer number (551520900).

Almost surely, 230434022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30434022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35297337600).

30434022102 is an abundant number, since it is smaller than the sum of its proper divisors (40160653098).

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

30434022102 is a wasteful number, since it uses less digits than its factorization.

30434022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30434022102 its reverse (20122043403), we get a palindrome (50556065505).

The spelling of 30434022102 in words is "thirty billion, four hundred thirty-four million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 123 174 246 319 451 547 638 709 902 957 1094 1189 1353 1418 1641 1914 2127 2378 2706 3282 3567 4254 6017 7134 7799 12034 13079 15598 15863 18051 20561 22427 23397 26158 29069 31726 36102 39237 41122 44854 46794 47589 58138 61683 67281 78474 87207 95178 123366 134562 174414 174493 226171 246697 319759 348986 387823 452342 493394 523479 639518 650383 678513 740091 775646 843001 959277 1046958 1163469 1300766 1357026 1480182 1686002 1918554 1951149 2326938 2529003 3902298 4266053 5058006 7154213 8532106 9273011 11246867 12798159 14308426 15900743 18546022 21462639 22493734 25596318 27819033 31801486 33740601 42925278 47702229 55638066 67481202 95404458 123715537 174908173 247431074 349816346 371146611 461121547 524724519 742293222 922243094 1049449038 1383364641 2766729282 5072337017 10144674034 15217011051 30434022102