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101211125344 = 257451835381
BaseRepresentation
bin101111001000010100…
…1110011011001100000
3100200020120120212212221
41132100221303121200
53124240022002334
6114255025400424
710212051241120
oct1362051633140
9320216525787
10101211125344
1139a1805053a
1217747499114
13970c6caa64
144c81c48c80
1529757218b4
hex1790a73660

101211125344 has 24 divisors (see below), whose sum is σ = 227725032528. Its totient is φ = 43376196480.

The previous prime is 101211125329. The next prime is 101211125347. The reversal of 101211125344 is 443521112101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211125347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225917467 + ... + 225917914.

It is an arithmetic number, because the mean of its divisors is an integer number (9488543022).

Almost surely, 2101211125344 is an apocalyptic number.

101211125344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101211125344 is an abundant number, since it is smaller than the sum of its proper divisors (126513907184).

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

101211125344 is an equidigital number, since it uses as much as digits as its factorization.

101211125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451835398 (or 451835390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 101211125344 its reverse (443521112101), we get a palindrome (544732237445).

The spelling of 101211125344 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 451835381 903670762 1807341524 3162847667 3614683048 6325695334 7229366096 12651390668 14458732192 25302781336 50605562672 101211125344