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1031310201103 = 713235916934933
BaseRepresentation
bin11110000000111101110…
…00001101000100001111
310122120222210002102212221
433000132320031010033
5113344110402413403
62105435524440211
7134336554033120
oct17003670150417
93576883072787
101031310201103
113684157a4456
12147a5b849067
1376337c2ab60
1437cb68aa047
151bc603e7dbd
hexf01ee0d10f

1031310201103 has 64 divisors (see below), whose sum is σ = 1348009850880. Its totient is φ = 766666695168.

The previous prime is 1031310201071. The next prime is 1031310201107. The reversal of 1031310201103 is 3011020131301.

It is a cyclic number.

It is not a de Polignac number, because 1031310201103 - 25 = 1031310201071 is a prime.

It is a super-2 number, since 2×10313102011032 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031310201107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209061025 + ... + 209065957.

It is an arithmetic number, because the mean of its divisors is an integer number (21062653920).

Almost surely, 21031310201103 is an apocalyptic number.

1031310201103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1031310201103 is a deficient number, since it is larger than the sum of its proper divisors (316699649777).

1031310201103 is a wasteful number, since it uses less digits than its factorization.

1031310201103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1031310201103 its reverse (3011020131301), we get a palindrome (4042330332404).

The spelling of 1031310201103 in words is "one trillion, thirty-one billion, three hundred ten million, two hundred one thousand, one hundred three".

Divisors: 1 7 13 23 59 91 161 299 413 767 1357 1693 2093 4933 5369 9499 11851 17641 22009 34531 38939 64129 99887 113459 123487 154063 272573 291047 448903 506207 699209 794213 1298531 1474967 2037329 2297401 3543449 3783611 6694081 8351569 9089717 10324769 16081807 26485277 29866213 46858567 58460983 87023053 108570397 192086087 209063491 492742571 609161371 759992779 1344602609 2497119131 3449197997 6405653423 11333079133 17479833917 44839573961 79331553931 147330028729 1031310201103