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20130001101 = 3272291574009
BaseRepresentation
bin10010101111110101…
…110111000011001101
31220221220011000020100
4102233311313003031
5312211240013401
613125251441313
71311561120600
oct225765670315
956856130210
1020130001101
11859a951851
123a995b6239
131b8a5c3a72
14d8d686337
157cc399b86
hex4afd770cd

20130001101 has 36 divisors (see below), whose sum is σ = 34990242300. Its totient is φ = 11106200448.

The previous prime is 20130001033. The next prime is 20130001103. The reversal of 20130001101 is 10110003102.

It can be written as a sum of positive squares in 2 ways, for example, as 3693479076 + 16436522025 = 60774^2 + 128205^2 .

It is not a de Polignac number, because 20130001101 - 215 = 20129968333 is a prime.

It is a super-2 number, since 2×201300011012 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130001103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 774216 + ... + 799793.

It is an arithmetic number, because the mean of its divisors is an integer number (971951175).

Almost surely, 220130001101 is an apocalyptic number.

20130001101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20130001101 is a deficient number, since it is larger than the sum of its proper divisors (14860241199).

20130001101 is a wasteful number, since it uses less digits than its factorization.

20130001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574058 (or 1574048 counting only the distinct ones).

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

Adding to 20130001101 its reverse (10110003102), we get a palindrome (30240004203).

The spelling of 20130001101 in words is "twenty billion, one hundred thirty million, one thousand, one hundred one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 1574009 4722027 11018063 14166081 33054189 45646261 77126441 99162567 136938783 231379323 319523827 410816349 694137969 958571481 2236666789 2875714443 6710000367 20130001101