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30201222114 = 2347192296121
BaseRepresentation
bin11100001000001000…
…100001001111100010
32212221202221001020000
4130020020201033202
5443323003101424
621512501000430
72116262103150
oct341010411742
985852831200
1030201222114
11118988911a8
125a2a3b3116
132b03c8973b
1416670683d0
15bbb6253c9
hex7082213e2

30201222114 has 160 divisors (see below), whose sum is σ = 81780124800. Its totient is φ = 8137739520.

The previous prime is 30201222059. The next prime is 30201222119. The reversal of 30201222114 is 41122210203.

It is a happy number.

It is a super-2 number, since 2×302012221142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30201222119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4930974 + ... + 4937094.

It is an arithmetic number, because the mean of its divisors is an integer number (511125780).

Almost surely, 230201222114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201222114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890062400).

30201222114 is an abundant number, since it is smaller than the sum of its proper divisors (51578902686).

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

30201222114 is a wasteful number, since it uses less digits than its factorization.

30201222114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30201222114 its reverse (41122210203), we get a palindrome (71323432317).

The spelling of 30201222114 in words is "thirty billion, two hundred one million, two hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 229 266 342 378 399 458 513 567 687 798 1026 1134 1197 1374 1539 1603 2061 2394 3078 3206 3591 4122 4351 4809 6121 6183 7182 8702 9618 10773 12242 12366 13053 14427 18363 18549 21546 26106 28854 30457 36726 37098 39159 42847 43281 55089 60914 78318 85694 86562 91371 110178 116299 117477 128541 129843 165267 182742 232598 234954 257082 259686 274113 330534 348897 352431 385623 495801 548226 697794 704862 771246 814093 822339 991602 1046691 1156869 1401709 1628186 1644678 2093382 2313738 2442279 2467017 2803418 3140073 3470607 4205127 4884558 4934034 6280146 6941214 7326837 8410254 9420219 9811963 12615381 14653674 18840438 19623926 21980511 25230762 26632471 29435889 37846143 43961022 53264942 58871778 65941533 75692286 79897413 88307667 113538429 131883066 159794826 176615334 186427297 227076858 239692239 264923001 372854594 479384478 529846002 559281891 719076717 794769003 1118563782 1438153434 1589538006 1677845673 2157230151 3355691346 4314460302 5033537019 10067074038 15100611057 30201222114