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331200122123 = 13471912838023
BaseRepresentation
bin1001101000111010001…
…00001100110100001011
31011122212220110110011202
410310131010030310023
520411244212401443
6412052400014415
732633306405453
oct4643504146413
91148786413152
10331200122123
1111850891a8a2
125423230140b
1325302a2b930
141205cb0cd63
1589368497b8
hex4d1d10cd0b

331200122123 has 16 divisors (see below), whose sum is σ = 366173208576. Its totient is φ = 297651747360.

The previous prime is 331200122093. The next prime is 331200122171. The reversal of 331200122123 is 321221002133.

It is a cyclic number.

It is not a de Polignac number, because 331200122123 - 212 = 331200118027 is a prime.

It is a super-2 number, since 2×3312001221232 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331200122095 and 331200122104.

It is not an unprimeable number, because it can be changed into a prime (331200122173) 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, 1302311 + ... + 1535712.

It is an arithmetic number, because the mean of its divisors is an integer number (22885825536).

Almost surely, 2331200122123 is an apocalyptic number.

331200122123 is a deficient number, since it is larger than the sum of its proper divisors (34973086453).

331200122123 is a wasteful number, since it uses less digits than its factorization.

331200122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838274.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 331200122123 its reverse (321221002133), we get a palindrome (652421124256).

The spelling of 331200122123 in words is "three hundred thirty-one billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 13 47 191 611 2483 8977 116701 2838023 36894299 133387081 542062393 1734032053 7046811109 25476932471 331200122123