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105351000704 = 271495523857
BaseRepresentation
bin110001000011101101…
…0001011001010000000
3101001221002111100020222
41202013122023022000
53211224324010304
6120221513322212
710416460505435
oct1420732131200
9331832440228
10105351000704
1140751991134
1218501a06368
139c1c2b4b51
1451559adb8c
152b18dc64be
hex188768b280

105351000704 has 32 divisors (see below), whose sum is σ = 211287568500. Its totient is φ = 52321964032.

The previous prime is 105351000673. The next prime is 105351000707. The reversal of 105351000704 is 407000153501.

It can be written as a sum of positive squares in 2 ways, for example, as 104360010304 + 990990400 = 323048^2 + 31480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1053510007042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105351000707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2742857 + ... + 2781000.

Almost surely, 2105351000704 is an apocalyptic number.

It is an amenable number.

105351000704 is an abundant number, since it is smaller than the sum of its proper divisors (105936567796).

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

105351000704 is an equidigital number, since it uses as much as digits as its factorization.

105351000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524020 (or 5524008 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 105351000704 in words is "one hundred five billion, three hundred fifty-one million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 19072 5523857 11047714 22095428 44190856 88381712 176763424 353526848 707053696 823054693 1646109386 3292218772 6584437544 13168875088 26337750176 52675500352 105351000704