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105204233034 = 2329760254429
BaseRepresentation
bin110000111111010101…
…0010011001101001010
3101001112212022202212100
41201332222103031022
53210424240424114
6120155151454230
710413026140365
oct1417652231512
9331485282770
10105204233034
114068705743a
1218480827376
139bc7a78284
1451402c70dc
152b0b084909
hex187ea9334a

105204233034 has 24 divisors (see below), whose sum is σ = 230292431460. Its totient is φ = 34706550528.

The previous prime is 105204233033. The next prime is 105204233041. The reversal of 105204233034 is 430332402501.

It can be written as a sum of positive squares in 2 ways, for example, as 91690868025 + 13513365009 = 302805^2 + 116247^2 .

It is a super-2 number, since 2×1052042330342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105204232989 and 105204233007.

It is not an unprimeable number, because it can be changed into a prime (105204233033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30125469 + ... + 30128960.

Almost surely, 2105204233034 is an apocalyptic number.

105204233034 is an abundant number, since it is smaller than the sum of its proper divisors (125088198426).

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

105204233034 is a wasteful number, since it uses less digits than its factorization.

105204233034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60254534 (or 60254531 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 105204233034 its reverse (430332402501), we get a palindrome (535536635535).

The spelling of 105204233034 in words is "one hundred five billion, two hundred four million, two hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 60254429 120508858 180763287 361526574 542289861 1084579722 5844679613 11689359226 17534038839 35068077678 52602116517 105204233034