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101313213001 = 71121329317279
BaseRepresentation
bin101111001011010111…
…1001111001001001001
3100200111200200110211021
41132112233033021021
53124442140304001
6114313113432441
710214431046560
oct1362657171111
9320450613737
10101313213001
1139a6a738500
121777570b721
1397278c2860
144c91620bd7
15297e689ba1
hex1796bcf249

101313213001 has 48 divisors (see below), whose sum is σ = 141786086400. Its totient is φ = 70359569280.

The previous prime is 101313212999. The next prime is 101313213007. The reversal of 101313213001 is 100312313101.

It is not a de Polignac number, because 101313213001 - 21 = 101313212999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101313213007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160680 + ... + 477958.

It is an arithmetic number, because the mean of its divisors is an integer number (2953876800).

Almost surely, 2101313213001 is an apocalyptic number.

101313213001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101313213001 is a deficient number, since it is larger than the sum of its proper divisors (40472873399).

101313213001 is a wasteful number, since it uses less digits than its factorization.

101313213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317350 (or 317339 counting only the distinct ones).

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

Adding to 101313213001 its reverse (100312313101), we get a palindrome (201625526102).

The spelling of 101313213001 in words is "one hundred one billion, three hundred thirteen million, two hundred thirteen thousand, one".

Divisors: 1 7 11 13 29 77 91 121 143 203 319 377 847 1001 1573 2233 2639 3509 4147 11011 24563 29029 45617 317279 319319 2220953 3490069 4124627 9201091 24430483 28872389 38390759 45370897 64407637 101212001 119614183 268735313 317596279 499079867 708484007 837299281 1113332011 1315756013 3493559069 7793324077 9210292091 14473316143 101313213001