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106387521241 = 3261712
BaseRepresentation
bin110001100010100110…
…0001011111011011001
3101011121022220001010111
41203011030023323121
53220340201134431
6120512421444321
710454245003261
oct1430514137331
9334538801114
10106387521241
1141133a89381
1218750b706a1
13a055c6ac01
1452135067a1
152b79dbd7b1
hex18c530bed9

106387521241 has 3 divisors (see below), whose sum is σ = 106387847413. Its totient is φ = 106387195070.

The previous prime is 106387521197. The next prime is 106387521259. The reversal of 106387521241 is 142125783601.

The square root of 106387521241 is 326171.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 142125783601 = 1319107752679.

It is not a de Polignac number, because 106387521241 - 213 = 106387513049 is a prime.

It is a super-2 number, since 2×1063875212412 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106387521194 and 106387521203.

It is not an unprimeable number, because it can be changed into a prime (106387528241) 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 2 ways as a sum of consecutive naturals, for example, 163086 + ... + 489256.

Almost surely, 2106387521241 is an apocalyptic number.

106387521241 is the 326171-st square number.

106387521241 is the 163086-th centered octagonal number.

It is an amenable number.

106387521241 is a deficient number, since it is larger than the sum of its proper divisors (326172).

106387521241 is an frugal number, since it uses more digits than its factorization.

106387521241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652342 (or 326171 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 106387521241 in words is "one hundred six billion, three hundred eighty-seven million, five hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 326171 106387521241