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101310212013 = 379587821887
BaseRepresentation
bin101111001011010001…
…1110010011110101101
3100200111111001000020120
41132112203302132231
53124440403241023
6114312525235153
710214363410413
oct1362643623655
9320444030216
10101310212013
1139a68a7884a
1217774702ab9
1397270b191a
144c9107d2b3
15297e2958e3
hex17968f27ad

101310212013 has 32 divisors (see below), whose sum is σ = 137344757760. Its totient is φ = 66415552320.

The previous prime is 101310212011. The next prime is 101310212033. The reversal of 101310212013 is 310212013101.

It is a happy number.

It is not a de Polignac number, because 101310212013 - 21 = 101310212011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101310211983 and 101310212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310212011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114216256 + ... + 114217142.

It is an arithmetic number, because the mean of its divisors is an integer number (4292023680).

Almost surely, 2101310212013 is an apocalyptic number.

It is an amenable number.

101310212013 is a deficient number, since it is larger than the sum of its proper divisors (36034545747).

101310212013 is an equidigital number, since it uses as much as digits as its factorization.

101310212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101310212013 its reverse (310212013101), we get a palindrome (411522225114).

It can be divided in two parts, 101 and 310212013, that multiplied together give a palindrome (31331413313).

The spelling of 101310212013 in words is "one hundred one billion, three hundred ten million, two hundred twelve thousand, thirteen".

Divisors: 1 3 79 237 587 821 887 1761 2463 2661 46373 64859 70073 139119 194577 210219 481927 520669 728227 1445781 1562007 2184681 38072233 41132851 57529933 114216699 123398553 172589799 427469249 1282407747 33770070671 101310212013