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313242222330 = 2345537296581
BaseRepresentation
bin1001000111011101011…
…00001111111011111010
31002221112101111121210000
410203232230033323322
520113010002103310
6355522415533430
731426301646462
oct4435654177372
91087471447700
10313242222330
111109330829a4
125086022a276
132370044bb1b
1411237b20ba2
15823500a4c0
hex48eeb0fefa

313242222330 has 80 divisors (see below), whose sum is σ = 858165602184. Its totient is φ = 81955186560.

The previous prime is 313242222329. The next prime is 313242222341. The reversal of 313242222330 is 33222242313.

313242222330 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 422 + 2 + 233 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193759312761 + 119482909569 = 440181^2 + 345663^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313242222294 and 313242222303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3605361 + ... + 3691220.

Almost surely, 2313242222330 is an apocalyptic number.

313242222330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313242222330 is an abundant number, since it is smaller than the sum of its proper divisors (544923379854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313242222330 is a wasteful number, since it uses less digits than its factorization.

313242222330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296653 (or 7296644 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 313242222330 its reverse (33222242313), we get a palindrome (346464464643).

The spelling of 313242222330 in words is "three hundred thirteen billion, two hundred forty-two million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 7155 8586 14310 21465 42930 7296581 14593162 21889743 36482905 43779486 65669229 72965810 109448715 131338458 197007687 218897430 328346145 386718793 394015374 591023061 656692290 773437586 985038435 1160156379 1182046122 1933593965 1970076870 2320312758 2955115305 3480469137 3867187930 5800781895 5910230610 6960938274 10441407411 11601563790 17402345685 20882814822 31324222233 34804691370 52207037055 62648444466 104414074110 156621111165 313242222330