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3101421141 = 3272133714621
BaseRepresentation
bin1011100011011011…
…1110111001010101
322000010212111222200
42320312332321111
522322430434031
61231430115113
7136566434100
oct27066767125
98003774880
103101421141
111351742675
127267aba99
133a5704b50
14215c87737
151324298e6
hexb8dbee55

3101421141 has 72 divisors (see below), whose sum is σ = 5764167864. Its totient is φ = 1591591680.

The previous prime is 3101421119. The next prime is 3101421149. The reversal of 3101421141 is 1411241013.

3101421141 is a `hidden beast` number, since 3 + 101 + 421 + 141 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4498641 + 3096922500 = 2121^2 + 55650^2 .

It is not a de Polignac number, because 3101421141 - 27 = 3101421013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101421149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204811 + ... + 219431.

It is an arithmetic number, because the mean of its divisors is an integer number (80057887).

Almost surely, 23101421141 is an apocalyptic number.

It is an amenable number.

3101421141 is a deficient number, since it is larger than the sum of its proper divisors (2662746723).

3101421141 is a wasteful number, since it uses less digits than its factorization.

3101421141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3101421141 is about 55690.4043889071. The cubic root of 3101421141 is about 1458.3225152620.

Adding to 3101421141 its reverse (1411241013), we get a palindrome (4512662154).

The spelling of 3101421141 in words is "three billion, one hundred one million, four hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 21 37 39 49 63 91 111 117 147 259 273 333 441 481 637 777 819 1443 1813 1911 2331 3367 4329 5439 5733 10101 14621 16317 23569 30303 43863 70707 102347 131589 190073 212121 307041 540977 570219 716429 921123 1330511 1622931 1710657 2149287 3786839 3991533 4868793 6447861 7032701 9313577 11360517 11974599 21098103 26507873 27940731 34081551 49228907 63294309 79523619 83822193 147686721 238570857 344602349 443060163 1033807047 3101421141