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10114342130430 = 2335173137040129
BaseRepresentation
bin1001001100101110110111…
…0001010001001011111110
31022210220212220010022101000
42103023231301101023332
52311203133041133210
633302244205431130
72062510553411166
oct223135561211376
938726786108330
1010114342130430
11324a5174a7a7a
12117428886b4a6
13584a17106075
1426d772c855a6
1512816d342ac0
hex932edc512fe

10114342130430 has 128 divisors (see below), whose sum is σ = 28649386627200. Its totient is φ = 2530390966272.

The previous prime is 10114342130423. The next prime is 10114342130449. The reversal of 10114342130430 is 3403124341101.

10114342130430 is a `hidden beast` number, since 1 + 0 + 1 + 14 + 3 + 4 + 213 + 0 + 430 = 666.

It is a super-2 number, since 2×101143421304302 (a number of 27 digits) contains 22 as substring.

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 = 10114342130394 and 10114342130403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2083395 + ... + 4956734.

It is an arithmetic number, because the mean of its divisors is an integer number (223823333025).

Almost surely, 210114342130430 is an apocalyptic number.

10114342130430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10114342130430 is an abundant number, since it is smaller than the sum of its proper divisors (18535044496770).

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

10114342130430 is a wasteful number, since it uses less digits than its factorization.

10114342130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040475 (or 7040469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10114342130430 its reverse (3403124341101), we get a palindrome (13517466471531).

The spelling of 10114342130430 in words is "ten trillion, one hundred fourteen billion, three hundred forty-two million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 313 459 510 626 765 918 939 1530 1565 1878 2295 2817 3130 4590 4695 5321 5634 8451 9390 10642 14085 15963 16902 26605 28170 31926 42255 47889 53210 79815 84510 95778 143667 159630 239445 287334 478890 718335 1436670 7040129 14080258 21120387 35200645 42240774 63361161 70401290 105601935 119682193 126722322 190083483 211203870 239364386 316805805 359046579 380166966 598410965 633611610 718093158 950417415 1077139737 1196821930 1795232895 1900834830 2154279474 2203560377 3231419211 3590465790 4407120754 5385698685 6462838422 6610681131 10771397370 11017801885 13221362262 16157096055 19832043393 22035603770 32314192110 33053405655 37460526409 39664086786 59496130179 66106811310 74921052818 99160216965 112381579227 118992260358 187302632045 198320433930 224763158454 297480650895 337144737681 374605264090 561907896135 594961301790 674289475362 1011434213043 1123815792270 1685723688405 2022868426086 3371447376810 5057171065215 10114342130430