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30545120214 = 23271923115521
BaseRepresentation
bin11100011100101000…
…011000101111010110
32220211202000212201200
4130130220120233112
51000024022321324
622010543533330
72130636144420
oct343450305726
986752025650
1030545120214
1111a54a18a04
125b055ba246
132b5a2b743b
14169a9c7810
15bdb905ec9
hex71ca18bd6

30545120214 has 96 divisors (see below), whose sum is σ = 79665231360. Its totient is φ = 8262777600.

The previous prime is 30545120197. The next prime is 30545120257. The reversal of 30545120214 is 41202154503.

30545120214 is a `hidden beast` number, since 3 + 0 + 5 + 451 + 202 + 1 + 4 = 666.

It is a super-2 number, since 2×305451202142 (a number of 22 digits) contains 22 as substring.

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, 5529774 + ... + 5535294.

It is an arithmetic number, because the mean of its divisors is an integer number (829846160).

Almost surely, 230545120214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30545120214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39832615680).

30545120214 is an abundant number, since it is smaller than the sum of its proper divisors (49120111146).

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

30545120214 is a wasteful number, since it uses less digits than its factorization.

30545120214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 30545120214 its reverse (41202154503), we get a palindrome (71747274717).

The spelling of 30545120214 in words is "thirty billion, five hundred forty-five million, one hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2311 2394 4622 5521 6933 11042 13866 16177 16563 20799 32354 33126 38647 41598 43909 48531 49689 77294 87818 97062 99378 104899 115941 131727 145593 209798 231882 263454 291186 307363 314697 347823 395181 614726 629394 695646 734293 790362 922089 944091 1468586 1844178 1888182 2202879 2766267 4405758 5532534 6608637 12759031 13217274 25518062 38277093 76554186 89313217 114831279 178626434 229662558 242421589 267939651 484843178 535879302 727264767 803818953 1454529534 1607637906 1696951123 2181794301 3393902246 4363588602 5090853369 10181706738 15272560107 30545120214