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31122321102121 = 1790715401131059
BaseRepresentation
bin1110001001110001110101…
…11001001101010100101001
311002012021011001211222222211
413010320322321031110221
513034402003200231441
6150105221423245121
76361341062351224
oct704707271152451
9132167131758884
1031122321102121
119a099a19a5487
1235a786a4497a1
131449a8c745252
147984850dc5bb
1538e86a184a81
hex1c4e3ae4d529

31122321102121 has 16 divisors (see below), whose sum is σ = 32991771545280. Its totient is φ = 29257178227200.

The previous prime is 31122321102017. The next prime is 31122321102163. The reversal of 31122321102121 is 12120112322113.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 31122321102121 - 243 = 22326228079913 is a prime.

It is a super-2 number, since 2×311223211021212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31122321102092 and 31122321102101.

It is not an unprimeable number, because it can be changed into a prime (31122321102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237402490 + ... + 237533548.

It is an arithmetic number, because the mean of its divisors is an integer number (2061985721580).

Almost surely, 231122321102121 is an apocalyptic number.

It is an amenable number.

31122321102121 is a deficient number, since it is larger than the sum of its proper divisors (1869450443159).

31122321102121 is a wasteful number, since it uses less digits than its factorization.

31122321102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147384.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 31122321102121 its reverse (12120112322113), we get a palindrome (43242433424234).

The spelling of 31122321102121 in words is "thirty-one trillion, one hundred twenty-two billion, three hundred twenty-one million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 17 907 15401 15419 131059 261817 2228003 13968707 118870513 237468019 2018439659 2020798721 34313474203 1830724770713 31122321102121