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12312313122330 = 23251343244728943
BaseRepresentation
bin1011001100101010111100…
…0011001100111000011010
31121121001020021022112222100
42303022233003030320122
53103211104124403310
642104110520104230
72410351411523604
oct263125703147032
947531207275870
1012312313122330
113a1769385a161
12146a260905076
136b407a4c68a0
14307cc216a174
151654115a1ec0
hexb32af0cce1a

12312313122330 has 96 divisors (see below), whose sum is σ = 35276208903936. Its totient is φ = 2960241282432.

The previous prime is 12312313122323. The next prime is 12312313122341. The reversal of 12312313122330 is 3322131321321.

12312313122330 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 313 + 12 + 2 + 330 = 666.

12312313122330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12312313122294 and 12312313122303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122314162 + ... + 122414781.

It is an arithmetic number, because the mean of its divisors is an integer number (367460509416).

Almost surely, 212312313122330 is an apocalyptic number.

12312313122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12312313122330 is an abundant number, since it is smaller than the sum of its proper divisors (22963895781606).

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

12312313122330 is a wasteful number, since it uses less digits than its factorization.

12312313122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244729012 (or 244729009 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12312313122330 its reverse (3322131321321), we get a palindrome (15634444443651).

The spelling of 12312313122330 in words is "twelve trillion, three hundred twelve billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 8385 10062 16770 25155 50310 244728943 489457886 734186829 1223644715 1468373658 2202560487 2447289430 3181476259 3670934145 4405120974 6362952518 7341868290 9544428777 10523344549 11012802435 15907381295 19088857554 21046689098 22025604870 28633286331 31570033647 31814762590 47722143885 52616722745 57266572662 63140067294 94710100941 95444287770 105233445490 136803479137 143166431655 157850168235 189420201882 273606958274 286332863310 315700336470 410410437411 473550504705 684017395685 820820874822 947101009410 1231231312233 1368034791370 2052052187055 2462462624466 4104104374110 6156156561165 12312313122330