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3121444031121 = 321328649931237
BaseRepresentation
bin101101011011000100100…
…100000000101010010001
3102001101222210122021020200
4231123010210000222101
5402120204132443441
610345545510325413
7441342202326543
oct55330444005221
912041883567220
103121444031121
11aa3884863849
12424b59359869
13198473c41350
14ab115d33693
15562e138a7b6
hex2d6c4900a91

3121444031121 has 24 divisors (see below), whose sum is σ = 4855754303400. Its totient is φ = 1920819522816.

The previous prime is 3121444031081. The next prime is 3121444031131. The reversal of 3121444031121 is 1211304441213.

It is a happy number.

3121444031121 is a `hidden beast` number, since 3 + 1 + 2 + 144 + 403 + 112 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37332036225 + 3084111994896 = 193215^2 + 1756164^2 .

It is not a de Polignac number, because 3121444031121 - 233 = 3112854096529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3121444031131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886315 + ... + 3817551.

It is an arithmetic number, because the mean of its divisors is an integer number (202323095975).

Almost surely, 23121444031121 is an apocalyptic number.

It is an amenable number.

3121444031121 is a deficient number, since it is larger than the sum of its proper divisors (1734310272279).

3121444031121 is a wasteful number, since it uses less digits than its factorization.

3121444031121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959905 (or 959902 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3121444031121 its reverse (1211304441213), we get a palindrome (4332748472334).

The spelling of 3121444031121 in words is "three trillion, one hundred twenty-one billion, four hundred forty-four million, thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 28649 85947 257841 372437 931237 1117311 2793711 3351933 8381133 12106081 36318243 108954729 26679008813 80037026439 240111079317 346827114569 1040481343707 3121444031121