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4130220133 = 131924397211
BaseRepresentation
bin1111011000101110…
…0010100001100101
3101122211201220220001
43312023202201211
531424314021013
61521500541301
7204231202054
oct36613424145
911584656801
104130220133
11182a446576
12973251831
1350a8b6450
142b277039b
151928e8ddd
hexf62e2865

4130220133 has 48 divisors (see below), whose sum is σ = 4876044096. Its totient is φ = 3474938880.

The previous prime is 4130220121. The next prime is 4130220139. The reversal of 4130220133 is 3310220314.

4130220133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-4130220133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4130220133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130220139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19574398 + ... + 19574608.

It is an arithmetic number, because the mean of its divisors is an integer number (101584252).

Almost surely, 24130220133 is an apocalyptic number.

4130220133 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4130220133 is a deficient number, since it is larger than the sum of its proper divisors (745823963).

4130220133 is a wasteful number, since it uses less digits than its factorization.

4130220133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4130220133 is about 64266.7887248149. The cubic root of 4130220133 is about 1604.4433952107.

Adding to 4130220133 its reverse (3310220314), we get a palindrome (7440440447).

The spelling of 4130220133 in words is "four billion, one hundred thirty million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 13 19 43 97 211 247 361 559 817 1261 1843 2743 4009 4171 4693 9073 10621 15523 20467 23959 35017 52117 54223 76171 79249 117949 172387 201799 266071 388873 455221 880081 990223 1030237 1505731 2241031 3275353 5055349 7388587 11441053 16721539 19574503 42579589 96051631 217380007 317709241 4130220133