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3121444011 = 372237312647
BaseRepresentation
bin1011101000001101…
…0111010010101011
322001112112210012110
42322003113102223
522343042202021
61233423213403
7140231556600
oct27203272253
98045483173
103121444011
111361a790a4
12731447263
133a98c57ba
142187ba6a7
15134082476
hexba0d74ab

3121444011 has 48 divisors (see below), whose sum is σ = 5121529344. Its totient is φ = 1682626176.

The previous prime is 3121443977. The next prime is 3121444019. The reversal of 3121444011 is 1104441213.

It is not a de Polignac number, because 3121444011 - 215 = 3121411243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3121444019) 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 47 ways as a sum of consecutive naturals, for example, 240490 + ... + 253136.

It is an arithmetic number, because the mean of its divisors is an integer number (106698528).

Almost surely, 23121444011 is an apocalyptic number.

3121444011 is a deficient number, since it is larger than the sum of its proper divisors (2000085333).

3121444011 is a wasteful number, since it uses less digits than its factorization.

3121444011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 12753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3121444011 is about 55869.8846517513. The cubic root of 3121444011 is about 1461.4541106349.

Adding to 3121444011 its reverse (1104441213), we get a palindrome (4225885224).

The spelling of 3121444011 in words is "three billion, one hundred twenty-one million, four hundred forty-four thousand, eleven".

Divisors: 1 3 7 21 23 49 69 73 147 161 219 483 511 1127 1533 1679 3381 3577 5037 10731 11753 12647 35259 37941 82271 88529 246813 265587 290881 619703 872643 923231 1859109 2036167 2769693 6108501 6462617 14253169 19387851 21234313 42759507 45238319 63702939 135714957 148640191 445920573 1040481337 3121444011