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101344400243433 = 3283273135223769
BaseRepresentation
bin10111000010110000010100…
…111110011111101011101001
3111021211102121111120001020100
4113002300110332133223221
5101240411312430242213
6555312550313420013
730226614466515534
oct2702602476375351
9437742544501210
10101344400243433
112a322a11992426
12b44928270a609
134471974b0c679
141b05149107a1b
15bab301662773
hex5c2c14f9fae9

101344400243433 has 12 divisors (see below), whose sum is σ = 146388114898740. Its totient is φ = 67562121653376.

The previous prime is 101344400243417. The next prime is 101344400243467. The reversal of 101344400243433 is 334342004443101.

101344400243433 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 4 + 400 + 243 + 4 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34256063825424 + 67088336418009 = 5852868^2 + 8190747^2 .

It is not a de Polignac number, because 101344400243433 - 24 = 101344400243417 is a prime.

It is a super-2 number, since 2×1013444002434332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101344400243413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66862428 + ... + 68361341.

It is an arithmetic number, because the mean of its divisors is an integer number (12199009574895).

Almost surely, 2101344400243433 is an apocalyptic number.

It is an amenable number.

101344400243433 is a deficient number, since it is larger than the sum of its proper divisors (45043714655307).

101344400243433 is a wasteful number, since it uses less digits than its factorization.

101344400243433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135307048 (or 135307045 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 101344400243433 its reverse (334342004443101), we get a palindrome (435686404686534).

The spelling of 101344400243433 in words is "one hundred one trillion, three hundred forty-four billion, four hundred million, two hundred forty-three thousand, four hundred thirty-three".

Divisors: 1 3 9 83273 249819 749457 135223769 405671307 1217013921 11260488915937 33781466747811 101344400243433