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125003320103430 = 232514921134411571
BaseRepresentation
bin11100011011000010011010…
…011111011001001000000110
3121101121012102022020220001100
4130123002122133121020012
5112341023244421302210
61121505422114440530
735221122542311206
oct3433023237311006
9541535368226040
10125003320103430
11369146794065aa
121202a592b93146
1354999bb2c1782
1422c229b746406
15e6b95359b5c0
hex71b09a7d9206

125003320103430 has 96 divisors (see below), whose sum is σ = 327344818600800. Its totient is φ = 33094821703680.

The previous prime is 125003320103429. The next prime is 125003320103443. The reversal of 125003320103430 is 34301023300521.

125003320103430 is a `hidden beast` number, since 1 + 2 + 500 + 3 + 3 + 20 + 103 + 4 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125003320103394 and 125003320103403.

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, 26129545 + ... + 30541115.

It is an arithmetic number, because the mean of its divisors is an integer number (3409841860425).

Almost surely, 2125003320103430 is an apocalyptic number.

125003320103430 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 125003320103430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163672409300400).

125003320103430 is an abundant number, since it is smaller than the sum of its proper divisors (202341498497370).

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

125003320103430 is a wasteful number, since it uses less digits than its factorization.

125003320103430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413846 (or 4413843 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 125003320103430 its reverse (34301023300521), we get a palindrome (159304343403951).

The spelling of 125003320103430 in words is "one hundred twenty-five trillion, three billion, three hundred twenty million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2113 2235 2682 4226 4470 6339 6705 10565 12678 13410 19017 21130 31695 38034 63390 95085 190170 314837 629674 944511 1574185 1889022 2833533 3148370 4411571 4722555 5667066 8823142 9445110 13234713 14167665 22057855 26469426 28335330 39704139 44115710 66173565 79408278 132347130 198520695 397041390 657324079 1314648158 1971972237 3286620395 3943944474 5915916711 6573240790 9321649523 9859861185 11831833422 18643299046 19719722370 27964948569 29579583555 46608247615 55929897138 59159167110 83894845707 93216495230 139824742845 167789691414 279649485690 419474228535 838948457070 1388925778927 2777851557854 4166777336781 6944628894635 8333554673562 12500332010343 13889257789270 20833886683905 25000664020686 41667773367810 62501660051715 125003320103430