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201000130120 = 2357368835661
BaseRepresentation
bin1011101100110010001…
…0101001011001001000
3201012211001012120002201
42323030202221121020
511243122013130440
6232201014205544
720343653626156
oct2731442513110
9635731176081
10201000130120
1178275373819
1232b566538b4
1315c535a364a
149a2ac643d6
15536617e19a
hex2ecc8a9648

201000130120 has 32 divisors (see below), whose sum is σ = 458445508920. Its totient is φ = 79298680320.

The previous prime is 201000130117. The next prime is 201000130127. The reversal of 201000130120 is 21031000102.

It can be written as a sum of positive squares in 4 ways, for example, as 189898979076 + 11101151044 = 435774^2 + 105362^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201000130097 and 201000130106.

It is not an unprimeable number, because it can be changed into a prime (201000130127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34414911 + ... + 34420750.

Almost surely, 2201000130120 is an apocalyptic number.

201000130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000130120 is an abundant number, since it is smaller than the sum of its proper divisors (257445378800).

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

201000130120 is a wasteful number, since it uses less digits than its factorization.

201000130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68835745 (or 68835741 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 201000130120 its reverse (21031000102), we get a palindrome (222031130222).

The spelling of 201000130120 in words is "two hundred one billion, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 68835661 137671322 275342644 344178305 550685288 688356610 1376713220 2753426440 5025003253 10050006506 20100013012 25125016265 40200026024 50250032530 100500065060 201000130120