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100144144444211 = 7166367911266781
BaseRepresentation
bin10110110001010010100000…
…001001111110101100110011
3111010120200112121111222200122
4112301102200021332230303
5101111230201434203321
6552553330154240455
730044114153535260
oct2661224011765463
9433520477458618
10100144144444211
11299aa99087161a
12b29473342612b
1343b572453179a
141aa3006a34267
15b89ea42998ab
hex5b14a027eb33

100144144444211 has 16 divisors (see below), whose sum is σ = 114536226275328. Its totient is φ = 85773521786400.

The previous prime is 100144144444187. The next prime is 100144144444243. The reversal of 100144144444211 is 112444441441001.

It is not a de Polignac number, because 100144144444211 - 214 = 100144144427827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100144144444511) 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, 78420641 + ... + 79687421.

It is an arithmetic number, because the mean of its divisors is an integer number (7158514142208).

Almost surely, 2100144144444211 is an apocalyptic number.

100144144444211 is a deficient number, since it is larger than the sum of its proper divisors (14392081831117).

100144144444211 is a wasteful number, since it uses less digits than its factorization.

100144144444211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275242.

The product of its (nonzero) digits is 32768, while the sum is 35.

Adding to 100144144444211 its reverse (112444441441001), we get a palindrome (212588585885212).

The spelling of 100144144444211 in words is "one hundred trillion, one hundred forty-four billion, one hundred forty-four million, four hundred forty-four thousand, two hundred eleven".

Divisors: 1 7 1663 6791 11641 47537 1266781 8867467 11293433 79054031 2106656803 8602709771 14746597621 60218968397 14306306349173 100144144444211