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103525301430 = 232511336727737
BaseRepresentation
bin110000001101010010…
…1101011110010110110
3100220012212010012200100
41200122211223302312
53144004434121210
6115320414254530
710323311354145
oct1403245536266
9326185105610
10103525301430
113a9a5374261
12180924b7446
1399bac97515
14502132775c
152a5d9935c0
hex181a96bcb6

103525301430 has 96 divisors (see below), whose sum is σ = 272297510784. Its totient is φ = 27286898688.

The previous prime is 103525301351. The next prime is 103525301447. The reversal of 103525301430 is 34103525301.

103525301430 is a `hidden beast` number, since 1 + 0 + 352 + 5 + 301 + 4 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103525301394 and 103525301403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3718522 + ... + 3746258.

It is an arithmetic number, because the mean of its divisors is an integer number (2836432404).

Almost surely, 2103525301430 is an apocalyptic number.

103525301430 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 103525301430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136148755392).

103525301430 is an abundant number, since it is smaller than the sum of its proper divisors (168772209354).

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

103525301430 is a wasteful number, since it uses less digits than its factorization.

103525301430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28230 (or 28227 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 103525301430 its reverse (34103525301), we get a palindrome (137628826731).

The spelling of 103525301430 in words is "one hundred three billion, five hundred twenty-five million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 367 565 678 734 1017 1101 1130 1695 1835 2034 2202 3303 3390 3670 5085 5505 6606 10170 11010 16515 27737 33030 41471 55474 82942 83211 124413 138685 166422 207355 248826 249633 277370 373239 414710 416055 499266 622065 746478 832110 1244130 1248165 1866195 2496330 3134281 3732390 6268562 9402843 10179479 15671405 18805686 20358958 28208529 30538437 31342810 47014215 50897395 56417058 61076874 91615311 94028430 101794790 141042645 152692185 183230622 282085290 305384370 458076555 916153110 1150281127 2300562254 3450843381 5751405635 6901686762 10352530143 11502811270 17254216905 20705060286 34508433810 51762650715 103525301430