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101213100103 = 318356516961
BaseRepresentation
bin101111001000011000…
…1010101100001000111
3100200020201022012202011
41132100301111201013
53124241023200403
6114255135555051
710212104104333
oct1362061254107
9320221265664
10101213100103
1139a1917a175
121774808ba87
13970cc3c85b
144c822007c3
1529759b1a6d
hex1790c55847

101213100103 has 16 divisors (see below), whose sum is σ = 105770714112. Its totient is φ = 96737040000.

The previous prime is 101213099983. The next prime is 101213100113. The reversal of 101213100103 is 301001312101.

It is a cyclic number.

It is not a de Polignac number, because 101213100103 - 213 = 101213091911 is a prime.

It is a super-2 number, since 2×1012131001032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213100113) 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, 14536543 + ... + 14543503.

It is an arithmetic number, because the mean of its divisors is an integer number (6610669632).

Almost surely, 2101213100103 is an apocalyptic number.

101213100103 is a deficient number, since it is larger than the sum of its proper divisors (4557614009).

101213100103 is an equidigital number, since it uses as much as digits as its factorization.

101213100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101213100103 its reverse (301001312101), we get a palindrome (402214412204).

The spelling of 101213100103 in words is "one hundred one billion, two hundred thirteen million, one hundred thousand, one hundred three".

Divisors: 1 31 83 2573 5651 6961 175181 215791 469033 577763 14540023 17910653 39336611 1219434941 3264938713 101213100103