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105444412002 = 232158317532111
BaseRepresentation
bin110001000110011111…
…0100000101001100010
3101002011121021010110200
41202030332200221202
53211422232141002
6120235051410030
710422003466536
oct1421476405142
9332147233420
10105444412002
114079a692456
1218529153916
139c3575c6c7
145164167bc6
152b221c8b1c
hex188cfa0a62

105444412002 has 48 divisors (see below), whose sum is σ = 228845979648. Its totient is φ = 35089266240.

The previous prime is 105444411977. The next prime is 105444412033. The reversal of 105444412002 is 200214444501.

105444412002 is a `hidden beast` number, since 10 + 5 + 4 + 4 + 441 + 200 + 2 = 666.

It is a super-2 number, since 2×1054444120022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49948927 + ... + 49951037.

It is an arithmetic number, because the mean of its divisors is an integer number (4767624576).

Almost surely, 2105444412002 is an apocalyptic number.

105444412002 is an abundant number, since it is smaller than the sum of its proper divisors (123401567646).

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

105444412002 is a wasteful number, since it uses less digits than its factorization.

105444412002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 105444412002 its reverse (200214444501), we get a palindrome (305658856503).

The spelling of 105444412002 in words is "one hundred five billion, four hundred forty-four million, four hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 1583 1753 2111 3166 3506 4222 4749 5259 6333 9498 10518 12666 14247 15777 18999 28494 31554 37998 2774999 3341713 3700583 5549998 6683426 7401166 8324997 10025139 11101749 16649994 20050278 22203498 24974991 30075417 33305247 49949982 60150834 66610494 5858022889 11716045778 17574068667 35148137334 52722206001 105444412002