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10114005530430 = 23251718313610301
BaseRepresentation
bin1001001100101101100110…
…1101001111011100111110
31022210220000102202020222100
42103023121231033130332
52311201440403433210
633302150543125530
72062466325354114
oct223133155173476
938726012666870
1010114005530430
11324a3644a545a
1211741b3ba38a6
13584992462179
1426d7402a5ab4
1512814da045c0
hex932d9b4f73e

10114005530430 has 96 divisors (see below), whose sum is σ = 27858476587968. Its totient is φ = 2537030016000.

The previous prime is 10114005530417. The next prime is 10114005530441. The reversal of 10114005530430 is 3403550041101.

It is a happy number.

10114005530430 is a `hidden beast` number, since 10 + 1 + 140 + 0 + 55 + 30 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10114005530394 and 10114005530403.

It is a congruent number.

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, 996280 + ... + 4606580.

It is an arithmetic number, because the mean of its divisors is an integer number (290192464458).

Almost surely, 210114005530430 is an apocalyptic number.

10114005530430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114005530430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929238293984).

10114005530430 is an abundant number, since it is smaller than the sum of its proper divisors (17744471057538).

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

10114005530430 is a wasteful number, since it uses less digits than its factorization.

10114005530430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612162 (or 3612159 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10114005530430 its reverse (3403550041101), we get a palindrome (13517555571531).

The spelling of 10114005530430 in words is "ten trillion, one hundred fourteen billion, five million, five hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1831 3662 5493 9155 10986 16479 18310 27465 31127 32958 54930 62254 82395 93381 155635 164790 186762 280143 311270 466905 560286 933810 1400715 2801430 3610301 7220602 10830903 18051505 21661806 32492709 36103010 54154515 61375117 64985418 108309030 122750234 162463545 184125351 306875585 324927090 368250702 552376053 613751170 920626755 1104752106 1841253510 2761880265 5523760530 6610461131 13220922262 19831383393 33052305655 39662766786 59494150179 66104611310 99156916965 112377839227 118988300358 198313833930 224755678454 297470750895 337133517681 561889196135 594941501790 674267035362 1011400553043 1123778392270 1685667588405 2022801106086 3371335176810 5057002765215 10114005530430