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106245122541 = 346376490369
BaseRepresentation
bin110001011110010110…
…0111110100111101101
3101011020101221102211120
41202330230332213231
53220042222410131
6120450333411153
710450565432565
oct1427454764755
9334211842746
10106245122541
11410706690a8
1218711339ab9
13a032600b1c
1451dc639da5
152b6c641496
hex18bcb3e9ed

106245122541 has 8 divisors (see below), whose sum is σ = 141966126720. Its totient is φ = 70677100032.

The previous prime is 106245122539. The next prime is 106245122561. The reversal of 106245122541 is 145221542601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106245122541 - 21 = 106245122539 is a prime.

It is a super-2 number, since 2×1062451225412 (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 (106245122531) 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 7 ways as a sum of consecutive naturals, for example, 38243796 + ... + 38246573.

It is an arithmetic number, because the mean of its divisors is an integer number (17745765840).

Almost surely, 2106245122541 is an apocalyptic number.

It is an amenable number.

106245122541 is a deficient number, since it is larger than the sum of its proper divisors (35721004179).

106245122541 is an equidigital number, since it uses as much as digits as its factorization.

106245122541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76490835.

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 106245122541 in words is "one hundred six billion, two hundred forty-five million, one hundred twenty-two thousand, five hundred forty-one".

Divisors: 1 3 463 1389 76490369 229471107 35415040847 106245122541