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30141302022 = 232131721413539
BaseRepresentation
bin11100000100100011…
…111100010100000110
32212210121011210022100
4130010203330110012
5443212133131042
621502520412530
72114633561046
oct340443742406
985717153270
1030141302022
1111867a85367
125a12317146
132ac4739c70
14165d10b726
15bb623b24c
hex7048fc506

30141302022 has 96 divisors (see below), whose sum is σ = 74522579040. Its totient is φ = 8722160640.

The previous prime is 30141301991. The next prime is 30141302041. The reversal of 30141302022 is 22020314103.

30141302022 is a `hidden beast` number, since 301 + 41 + 302 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30141301986 and 30141302004.

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, 8515129 + ... + 8518667.

It is an arithmetic number, because the mean of its divisors is an integer number (776276865).

Almost surely, 230141302022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30141302022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37261289520).

30141302022 is an abundant number, since it is smaller than the sum of its proper divisors (44381277018).

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

30141302022 is a wasteful number, since it uses less digits than its factorization.

30141302022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30141302022 its reverse (22020314103), we get a palindrome (52161616125).

The spelling of 30141302022 in words is "thirty billion, one hundred forty-one million, three hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 2141 3539 3978 4282 6423 7078 10617 12846 19269 21234 27833 31851 36397 38538 46007 55666 60163 63702 72794 83499 92014 109191 120326 138021 166998 180489 218382 250497 276042 327573 360978 414063 473161 500994 541467 655146 782119 828126 946322 1082934 1419483 1564238 2346357 2838966 4258449 4692714 7039071 7576999 8516898 14078142 15153998 22730997 45461994 68192991 98500987 128808983 136385982 197001974 257617966 295502961 386426949 591005922 772853898 886508883 1159280847 1674516779 1773017766 2318561694 3349033558 5023550337 10047100674 15070651011 30141302022