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11220123201 = 373714440313
BaseRepresentation
bin10100111001100010…
…10111111001000001
31001221221122022111120
422130301113321001
5140434322420301
65053210102453
7545021321310
oct123461277101
931857568446
1011220123201
1148385156a1
12221171aa29
13109a709171
14786210277
1545a070e36
hex29cc57e41

11220123201 has 16 divisors (see below), whose sum is σ = 17559421824. Its totient is φ = 6238214784.

The previous prime is 11220123169. The next prime is 11220123217. The reversal of 11220123201 is 10232102211.

11220123201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11220123201 - 25 = 11220123169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11220123251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7219380 + ... + 7220933.

It is an arithmetic number, because the mean of its divisors is an integer number (1097463864).

Almost surely, 211220123201 is an apocalyptic number.

It is an amenable number.

11220123201 is a deficient number, since it is larger than the sum of its proper divisors (6339298623).

11220123201 is a wasteful number, since it uses less digits than its factorization.

11220123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14440360.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11220123201 its reverse (10232102211), we get a palindrome (21452225412).

It can be divided in two parts, 11220 and 123201, that added together give a triangular number (134421 = T518).

The spelling of 11220123201 in words is "eleven billion, two hundred twenty million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 21 37 111 259 777 14440313 43320939 101082191 303246573 534291581 1602874743 3740041067 11220123201