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101000010213 = 3367541910303
BaseRepresentation
bin101111000010000010…
…0011101100111100101
3100122200212100010101000
41132010010131213211
53123322000311323
6114222044423513
710203605631114
oct1360404354745
9318625303330
10101000010213
1139919966623
12176a8847b99
1396a7a5146b
144c61bb1c7b
152961e1de43
hex178411d9e5

101000010213 has 32 divisors (see below), whose sum is σ = 151905689600. Its totient is φ = 66309688368.

The previous prime is 101000010211. The next prime is 101000010269. The reversal of 101000010213 is 312010000101.

It is not a de Polignac number, because 101000010213 - 21 = 101000010211 is a prime.

It is a super-2 number, since 2×1010000102132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000010195 and 101000010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010211) 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, 9797820 + ... + 9808122.

It is an arithmetic number, because the mean of its divisors is an integer number (4747052800).

Almost surely, 2101000010213 is an apocalyptic number.

It is an amenable number.

101000010213 is a deficient number, since it is larger than the sum of its proper divisors (50905679387).

101000010213 is a wasteful number, since it uses less digits than its factorization.

101000010213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15798 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101000010213 its reverse (312010000101), we get a palindrome (413010010314).

The spelling of 101000010213 in words is "one hundred one billion, ten thousand, two hundred thirteen".

Divisors: 1 3 9 27 67 201 603 1809 5419 10303 16257 30909 48771 92727 146313 278181 363073 690301 1089219 2070903 3267657 6212709 9802971 18638127 55831957 167495871 502487613 1507462839 3740741119 11222223357 33666670071 101000010213