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105412435002 = 23274717800141
BaseRepresentation
bin110001000101100010…
…0100001110000111010
3101002002101002112021100
41202023010201300322
53211341040410002
6120231550152230
710421134625250
oct1421304416072
9332071075240
10105412435002
1140783631686
121851a4b2676
139c2bc448c4
14515dc025d0
152b1e4ae11c
hex188b121c3a

105412435002 has 48 divisors (see below), whose sum is σ = 266574926592. Its totient is φ = 29477031840.

The previous prime is 105412434947. The next prime is 105412435003. The reversal of 105412435002 is 200534214501.

105412435002 is a `hidden beast` number, since 105 + 4 + 12 + 43 + 500 + 2 = 666.

It is a super-2 number, since 2×1054124350022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105412435003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8894149 + ... + 8905992.

It is an arithmetic number, because the mean of its divisors is an integer number (5553644304).

Almost surely, 2105412435002 is an apocalyptic number.

105412435002 is an abundant number, since it is smaller than the sum of its proper divisors (161162491590).

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

105412435002 is a wasteful number, since it uses less digits than its factorization.

105412435002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17800203 (or 17800200 counting only the distinct ones).

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

Adding to 105412435002 its reverse (200534214501), we get a palindrome (305946649503).

The spelling of 105412435002 in words is "one hundred five billion, four hundred twelve million, four hundred thirty-five thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 17800141 35600282 53400423 106800846 124600987 160201269 249201974 320402538 373802961 747605922 836606627 1121408883 1673213254 2242817766 2509819881 5019639762 5856246389 7529459643 11712492778 15058919286 17568739167 35137478334 52706217501 105412435002