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12310230114 = 23272133729017
BaseRepresentation
bin10110111011011111…
…10011010001100010
31011202220212111001200
423131233303101202
5200202404330424
65353310542030
7614026141500
oct133557632142
934686774050
1012310230114
1152478930a6
122476807916
131212504b40
1484acd5670
154c0b008c9
hex2ddbf3462

12310230114 has 144 divisors (see below), whose sum is σ = 34317731448. Its totient is φ = 3158797824.

The previous prime is 12310230061. The next prime is 12310230139. The reversal of 12310230114 is 41103201321.

12310230114 is a `hidden beast` number, since 12 + 310 + 230 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9149879025 + 3160351089 = 95655^2 + 56217^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 409734 + ... + 438750.

Almost surely, 212310230114 is an apocalyptic number.

12310230114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310230114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158865724).

12310230114 is an abundant number, since it is smaller than the sum of its proper divisors (22007501334).

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

12310230114 is a wasteful number, since it uses less digits than its factorization.

12310230114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29089 (or 29079 counting only the distinct ones).

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

Adding to 12310230114 its reverse (41103201321), we get a palindrome (53413431435).

The spelling of 12310230114 in words is "twelve billion, three hundred ten million, two hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 111 117 126 147 182 222 234 259 273 294 333 441 481 518 546 637 666 777 819 882 962 1274 1443 1554 1638 1813 1911 2331 2886 3367 3626 3822 4329 4662 5439 5733 6734 8658 10101 10878 11466 16317 20202 23569 29017 30303 32634 47138 58034 60606 70707 87051 141414 174102 203119 212121 261153 377221 406238 424242 522306 609357 754442 1073629 1131663 1218714 1421833 1828071 2147258 2263326 2640547 2843666 3220887 3394989 3656142 4265499 5281094 6441774 6789978 7515403 7921641 8530998 9662661 12796497 13957177 15030806 15843282 18483829 19325322 22546209 23764923 25592994 27914354 36967658 41871531 45092418 47529846 52607821 55451487 67638627 83743062 97700239 105215642 110902974 125614593 135277254 157823463 166354461 195400478 251229186 293100717 315646926 332708922 473470389 586201434 683901673 879302151 946940778 1367803346 1758604302 2051705019 4103410038 6155115057 12310230114