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31220011121 = 1361101389797
BaseRepresentation
bin11101000100110110…
…111001000001110001
32222120202221220000012
4131010312321001301
51002414310323441
622201533104305
72153442500405
oct350466710161
988522856005
1031220011121
1112270978492
126073628095
132c37074a80
1417224a7105
15c2acb89eb
hex744db9071

31220011121 has 16 divisors (see below), whose sum is σ = 34511155728. Its totient is φ = 28065312000.

The previous prime is 31220011111. The next prime is 31220011169. The reversal of 31220011121 is 12111002213.

It can be written as a sum of positive squares in 8 ways, for example, as 2156580721 + 29063430400 = 46439^2 + 170480^2 .

It is a cyclic number.

It is not a de Polignac number, because 31220011121 - 210 = 31220010097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31220011096 and 31220011105.

It is not an unprimeable number, because it can be changed into a prime (31220011111) 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 15 ways as a sum of consecutive naturals, for example, 114806 + ... + 274991.

It is an arithmetic number, because the mean of its divisors is an integer number (2156947233).

Almost surely, 231220011121 is an apocalyptic number.

It is an amenable number.

31220011121 is a deficient number, since it is larger than the sum of its proper divisors (3291144607).

31220011121 is a wasteful number, since it uses less digits than its factorization.

31220011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389972.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 31220011121 its reverse (12111002213), we get a palindrome (43331013334).

The spelling of 31220011121 in words is "thirty-one billion, two hundred twenty million, eleven thousand, one hundred twenty-one".

Divisors: 1 13 61 101 793 1313 6161 80093 389797 5067361 23777617 39369497 309109021 511803461 2401539317 31220011121