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103226622301 = 11217186726879
BaseRepresentation
bin110000000100011001…
…0010100000101011101
3100212110001002201221101
41200020302110011131
53142402003403201
6115231024433101
710313023545415
oct1401062240535
9325401081841
10103226622301
113a861812200
121800a478791
13997113c9ca
144dd37b9645
152a42645d01
hex1808c9415d

103226622301 has 24 divisors (see below), whose sum is σ = 120207144960. Its totient is φ = 88271652480.

The previous prime is 103226622293. The next prime is 103226622341.

103226622301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103226622301 - 23 = 103226622293 is a prime.

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 103226622301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103226622341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3826980 + ... + 3853858.

It is an arithmetic number, because the mean of its divisors is an integer number (5008631040).

Almost surely, 2103226622301 is an apocalyptic number.

103226622301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103226622301 is a deficient number, since it is larger than the sum of its proper divisors (16980522659).

103226622301 is a wasteful number, since it uses less digits than its factorization.

103226622301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28785 (or 28774 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 103226 and 622301, that added together give a palindrome (725527).

The spelling of 103226622301 in words is "one hundred three billion, two hundred twenty-six million, six hundred twenty-two thousand, three hundred one".

Divisors: 1 11 17 121 187 1867 2057 20537 26879 31739 225907 295669 349129 456943 3252359 3840419 5026373 50183093 55290103 552014023 853112581 6072154253 9384238391 103226622301