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106334394930 = 23251181493277
BaseRepresentation
bin110001100001000000…
…1100001101000110010
3101011110121220221112100
41203002001201220302
53220233101114210
6120503243041230
710453031305131
oct1430201415062
9334417827470
10106334394930
1141106aa2835
1218737210216
13a047c5981a
14520a437918
152b753c75c0
hex18c2061a32

106334394930 has 24 divisors (see below), whose sum is σ = 276469427052. Its totient is φ = 28355838624.

The previous prime is 106334394923. The next prime is 106334394961. The reversal of 106334394930 is 39493433601.

106334394930 is a `hidden beast` number, since 1 + 0 + 633 + 4 + 3 + 9 + 4 + 9 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102823476921 + 3510918009 = 320661^2 + 59253^2 .

It is a super-2 number, since 2×1063343949302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590746549 + ... + 590746728.

Almost surely, 2106334394930 is an apocalyptic number.

106334394930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106334394930 is an abundant number, since it is smaller than the sum of its proper divisors (170135032122).

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

106334394930 is a wasteful number, since it uses less digits than its factorization.

106334394930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181493290 (or 1181493287 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

It can be divided in two parts, 106334 and 394930, that added together give a square (501264 = 7082).

The spelling of 106334394930 in words is "one hundred six billion, three hundred thirty-four million, three hundred ninety-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1181493277 2362986554 3544479831 5907466385 7088959662 10633439493 11814932770 17722399155 21266878986 35444798310 53167197465 106334394930