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106323868071 = 32389138121991
BaseRepresentation
bin110001100000101100…
…1010111100110100111
3101011102220010010101200
41203001121113212213
53220222402234241
6120502225253543
710452542652441
oct1430131274647
9334386103350
10106323868071
1141101062853
12187337942b3
13a045a12205
145208c97491
152b744e84b6
hex18c16579a7

106323868071 has 24 divisors (see below), whose sum is σ = 154092226080. Its totient is φ = 70645953600.

The previous prime is 106323868069. The next prime is 106323868117. The reversal of 106323868071 is 170868323601.

106323868071 is a `hidden beast` number, since 1 + 0 + 632 + 3 + 8 + 6 + 8 + 0 + 7 + 1 = 666.

It is not a de Polignac number, because 106323868071 - 21 = 106323868069 is a prime.

It is a super-2 number, since 2×1063238680712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106323868031) 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 23 ways as a sum of consecutive naturals, for example, 4823886 + ... + 4845876.

It is an arithmetic number, because the mean of its divisors is an integer number (6420509420).

Almost surely, 2106323868071 is an apocalyptic number.

106323868071 is a deficient number, since it is larger than the sum of its proper divisors (47768358009).

106323868071 is a wasteful number, since it uses less digits than its factorization.

106323868071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23767 (or 23764 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106323868071 in words is "one hundred six billion, three hundred twenty-three million, eight hundred sixty-eight thousand, seventy-one".

Divisors: 1 3 9 389 1167 1381 3501 4143 12429 21991 65973 197919 537209 1611627 4834881 8554499 25663497 30369571 76990491 91108713 273326139 11813763119 35441289357 106323868071