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101021200011 = 3237595141813
BaseRepresentation
bin101111000010101010…
…1010010111010001011
3100122202100012200022100
41132011111102322023
53123342411400021
6114224122524443
710204254014004
oct1360525227213
9318670180270
10101021200011
113992a919856
12176b3966723
1396ac2602c4
144c6492a1ab
152963c07626
hex1785552e8b

101021200011 has 24 divisors (see below), whose sum is σ = 152403366960. Its totient is φ = 64416620736.

The previous prime is 101021200009. The next prime is 101021200097. The reversal of 101021200011 is 110002120101.

It is a happy number.

It is not a de Polignac number, because 101021200011 - 21 = 101021200009 is a prime.

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 = 101021199966 and 101021200002.

It is not an unprimeable number, because it can be changed into a prime (101021200411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2551260 + ... + 2590553.

It is an arithmetic number, because the mean of its divisors is an integer number (6350140290).

Almost surely, 2101021200011 is an apocalyptic number.

101021200011 is a deficient number, since it is larger than the sum of its proper divisors (51382166949).

101021200011 is a wasteful number, since it uses less digits than its factorization.

101021200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141915 (or 5141912 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101021200011 its reverse (110002120101), we get a palindrome (211023320112).

The spelling of 101021200011 in words is "one hundred one billion, twenty-one million, two hundred thousand, eleven".

Divisors: 1 3 9 37 59 111 177 333 531 2183 6549 19647 5141813 15425439 46276317 190247081 303366967 570741243 910100901 1712223729 2730302703 11224577779 33673733337 101021200011