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106693523241 = 3117155035519
BaseRepresentation
bin110001101011101101…
…1011111011100101001
3101012101122200112221220
41203113123133130221
53222002020220431
6121003032252253
710464651661344
oct1432733373451
9335348615856
10106693523241
1141280792198
1218817541089
13a0a448a896
145241ddd45b
152b96bb5b96
hex18d76df729

106693523241 has 16 divisors (see below), whose sum is σ = 142431191040. Its totient is φ = 71042484240.

The previous prime is 106693523239. The next prime is 106693523257. The reversal of 106693523241 is 142325396601.

It is not a de Polignac number, because 106693523241 - 21 = 106693523239 is a prime.

It is a super-2 number, since 2×1066935232412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106693523193 and 106693523202.

It is not an unprimeable number, because it can be changed into a prime (106693523221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19329280 + ... + 19334798.

It is an arithmetic number, because the mean of its divisors is an integer number (8901949440).

Almost surely, 2106693523241 is an apocalyptic number.

It is an amenable number.

106693523241 is a deficient number, since it is larger than the sum of its proper divisors (35737667799).

106693523241 is a wasteful number, since it uses less digits than its factorization.

106693523241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 106693523241 in words is "one hundred six billion, six hundred ninety-three million, five hundred twenty-three thousand, two hundred forty-one".

Divisors: 1 3 1171 3513 5503 5519 16509 16557 6444013 6462749 19332039 19388247 30371057 91113171 35564507747 106693523241