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120022311123 = 32111393257429
BaseRepresentation
bin110111111000111100…
…0110010000011010011
3102110210120011010121100
41233301320302003103
53431301202423443
6131045410355443
711446156545261
oct1576170620323
9373716133540
10120022311123
11469a0513870
121b31728bb83
13b4199c9710
145b482b3431
1531c6e113d3
hex1bf1e320d3

120022311123 has 24 divisors (see below), whose sum is σ = 203674227120. Its totient is φ = 67145348160.

The previous prime is 120022311121. The next prime is 120022311127. The reversal of 120022311123 is 321113220021.

It is not a de Polignac number, because 120022311123 - 21 = 120022311121 is a prime.

It is a super-2 number, since 2×1200223111232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120022311096 and 120022311105.

It is not an unprimeable number, because it can be changed into a prime (120022311121) 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, 46627428 + ... + 46630001.

It is an arithmetic number, because the mean of its divisors is an integer number (8486426130).

Almost surely, 2120022311123 is an apocalyptic number.

120022311123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120022311123 is a deficient number, since it is larger than the sum of its proper divisors (83651915997).

120022311123 is a wasteful number, since it uses less digits than its factorization.

120022311123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93257459 (or 93257456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120022311123 its reverse (321113220021), we get a palindrome (441135531144).

It can be divided in two parts, 1200223 and 11123, that added together give a triangular number (1211346 = T1556).

The spelling of 120022311123 in words is "one hundred twenty billion, twenty-two million, three hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 93257429 279772287 839316861 1025831719 1212346577 3077495157 3637039731 9232485471 10911119193 13335812347 40007437041 120022311123