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1122503310041 = 171697174122349
BaseRepresentation
bin10000010101011010011…
…010010011101011011001
310222022101012000100210012
4100111122122103223121
5121342341321410131
62215400525331305
7144045451464311
oct20253232235331
93868335010705
101122503310041
113a3061944993
12161670106b35
1381b0bca0b49
143c488022441
151e2eb39d52b
hex1055a693ad9

1122503310041 has 16 divisors (see below), whose sum is σ = 1189969606800. Its totient is φ = 1055197470720.

The previous prime is 1122503310017. The next prime is 1122503310133. The reversal of 1122503310041 is 1400133052211.

It can be written as a sum of positive squares in 8 ways, for example, as 16211655625 + 1106291654416 = 127325^2 + 1051804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1122503310041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1122503309989 and 1122503310016.

It is not an unprimeable number, because it can be changed into a prime (1122503310011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50214935 + ... + 50237283.

It is an arithmetic number, because the mean of its divisors is an integer number (74373100425).

Almost surely, 21122503310041 is an apocalyptic number.

It is an amenable number.

1122503310041 is a deficient number, since it is larger than the sum of its proper divisors (67466296759).

1122503310041 is a wasteful number, since it uses less digits than its factorization.

1122503310041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25804.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1122503310041 its reverse (1400133052211), we get a palindrome (2522636362252).

The spelling of 1122503310041 in words is "one trillion, one hundred twenty-two billion, five hundred three million, three hundred ten thousand, forty-one".

Divisors: 1 17 1697 1741 22349 28849 29597 379933 2954477 37926253 38909609 50226109 644746301 661463353 66029606473 1122503310041