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101000220012 = 22323775825991
BaseRepresentation
bin101111000010000010…
…1010000110101101100
3100122200212201210011100
41132010011100311230
53123322024020022
6114222053123100
710203610463556
oct1360405206554
9318625653140
10101000220012
1139919a9a20a
12176a8929490
1396a7ac5ac3
144c61c284d6
152961e611ac
hex1784150d6c

101000220012 has 36 divisors (see below), whose sum is σ = 262206280336. Its totient is φ = 32756827680.

The previous prime is 101000220011. The next prime is 101000220023. The reversal of 101000220012 is 210022000101.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 101000219976 and 101000220003.

It is not an unprimeable number, because it can be changed into a prime (101000220011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37911664 + ... + 37914327.

Almost surely, 2101000220012 is an apocalyptic number.

101000220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000220012 is an abundant number, since it is smaller than the sum of its proper divisors (161206060324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000220012 is a wasteful number, since it uses less digits than its factorization.

101000220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75826038 (or 75826033 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101000220012 its reverse (210022000101), we get a palindrome (311022220113).

The spelling of 101000220012 in words is "one hundred one billion, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 75825991 151651982 227477973 303303964 454955946 682433919 909911892 1364867838 2729735676 2805561667 5611123334 8416685001 11222246668 16833370002 25250055003 33666740004 50500110006 101000220012