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122262044401 = 7127137527609
BaseRepresentation
bin111000111011101100…
…0101011111011110001
3102200120122121101001201
41301313120223323301
54000343040410101
6132055535531201
711555524142020
oct1616730537361
9380518541051
10122262044401
114793a811602
121b841389b01
13b6b5a30393
145cbb9348b7
1532a887ae01
hex1c7762bef1

122262044401 has 8 divisors (see below), whose sum is σ = 140828272640. Its totient is φ = 103970871648.

The previous prime is 122262044353. The next prime is 122262044407. The reversal of 122262044401 is 104440262221.

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

It is not a de Polignac number, because 122262044401 - 227 = 122127826673 is a prime.

It is a super-2 number, since 2×1222620444012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122262044401.

It is not an unprimeable number, because it can be changed into a prime (122262044407) 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, 68762916 + ... + 68764693.

It is an arithmetic number, because the mean of its divisors is an integer number (17603534080).

Almost surely, 2122262044401 is an apocalyptic number.

It is an amenable number.

122262044401 is a deficient number, since it is larger than the sum of its proper divisors (18566228239).

122262044401 is a wasteful number, since it uses less digits than its factorization.

122262044401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137527743.

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 122262044401 in words is "one hundred twenty-two billion, two hundred sixty-two million, forty-four thousand, four hundred one".

Divisors: 1 7 127 889 137527609 962693263 17466006343 122262044401