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122100231001 = 727321340369
BaseRepresentation
bin111000110110110111…
…1011010101101011001
3102200011101010101210211
41301231233122231121
54000030124343001
6132031515411121
711551520560600
oct1615557325531
9380141111724
10122100231001
1147867440821
121b7b7153aa1
13b68b3563c8
145ca4252a37
153299566351
hex1c6dbdab59

122100231001 has 12 divisors (see below), whose sum is σ = 142054780980. Its totient is φ = 104642737920.

The previous prime is 122100230981. The next prime is 122100231007. The reversal of 122100231001 is 100132001221.

It can be written as a sum of positive squares in 2 ways, for example, as 48929440000 + 73170791001 = 221200^2 + 270501^2 .

It is not a de Polignac number, because 122100231001 - 29 = 122100230489 is a prime.

It is a super-2 number, since 2×1221002310012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122100231007) 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 11 ways as a sum of consecutive naturals, for example, 188545 + ... + 528913.

It is an arithmetic number, because the mean of its divisors is an integer number (11837898415).

Almost surely, 2122100231001 is an apocalyptic number.

It is an amenable number.

122100231001 is a deficient number, since it is larger than the sum of its proper divisors (19954549979).

122100231001 is an equidigital number, since it uses as much as digits as its factorization.

122100231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347704 (or 347697 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122100231001 its reverse (100132001221), we get a palindrome (222232232222).

The spelling of 122100231001 in words is "one hundred twenty-two billion, one hundred million, two hundred thirty-one thousand, one".

Divisors: 1 7 49 7321 51247 340369 358729 2382583 16678081 2491841449 17442890143 122100231001