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120210212313 = 32831935631481
BaseRepresentation
bin110111111110100010…
…1100100010111011001
3102111021122201111120200
41233331011210113121
53432142303243223
6131120202012413
711453630642202
oct1577505442731
9374248644520
10120210212313
1146a87592804
121b36a1a7109
13b449908a59
145b652265a9
1531d867aa43
hex1bfd1645d9

120210212313 has 48 divisors (see below), whose sum is σ = 177072727104. Its totient is φ = 78571376640.

The previous prime is 120210212299. The next prime is 120210212341. The reversal of 120210212313 is 313212012021.

120210212313 is a `hidden beast` number, since 120 + 21 + 0 + 212 + 313 = 666.

It is not a de Polignac number, because 120210212313 - 214 = 120210195929 is a prime.

It is a super-4 number, since 4×1202102123134 (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (120210212363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81167533 + ... + 81169013.

It is an arithmetic number, because the mean of its divisors is an integer number (3689015148).

Almost surely, 2120210212313 is an apocalyptic number.

It is an amenable number.

120210212313 is a deficient number, since it is larger than the sum of its proper divisors (56862514791).

120210212313 is a wasteful number, since it uses less digits than its factorization.

120210212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2323 counting only the distinct ones).

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

Adding to 120210212313 its reverse (313212012021), we get a palindrome (433422224334).

The spelling of 120210212313 in words is "one hundred twenty billion, two hundred ten million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 83 193 249 563 579 747 1481 1689 1737 4443 5067 13329 16019 46729 48057 108659 122923 140187 144171 285833 325977 368769 420561 833803 857499 977931 1106307 2501409 2572497 7504227 9018697 23724139 27056091 69205649 71172417 81168273 160923979 207616947 213517251 482771937 622850841 1448315811 13356690257 40070070771 120210212313