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125529107080 = 235134355710079
BaseRepresentation
bin111010011101000011…
…1100010101010001000
3110000000100011100112011
41310322013202222020
54024040422411310
6133400044225304
712032504543056
oct1647207425210
9400010140464
10125529107080
11492669aa103
12203b353b234
13bab684c770
14610b7b91d6
1533ea5c478a
hex1d3a1e2a88

125529107080 has 128 divisors (see below), whose sum is σ = 311830041600. Its totient is φ = 45185559552.

The previous prime is 125529107069. The next prime is 125529107083. The reversal of 125529107080 is 80701925521.

It is a super-2 number, since 2×1255291070802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (125529107083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12449481 + ... + 12459559.

It is an arithmetic number, because the mean of its divisors is an integer number (2436172200).

Almost surely, 2125529107080 is an apocalyptic number.

125529107080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125529107080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155915020800).

125529107080 is an abundant number, since it is smaller than the sum of its proper divisors (186300934520).

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

125529107080 is a wasteful number, since it uses less digits than its factorization.

125529107080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 125529107080 in words is "one hundred twenty-five billion, five hundred twenty-nine million, one hundred seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 557 559 860 1114 1118 1720 2228 2236 2785 2795 4456 4472 5570 5590 7241 10079 11140 11180 14482 20158 22280 22360 23951 28964 36205 40316 47902 50395 57928 72410 80632 95804 100790 119755 131027 144820 191608 201580 239510 262054 289640 311363 403160 433397 479020 524108 622726 655135 866794 958040 1048216 1245452 1310270 1556815 1733588 2166985 2490904 2620540 3113630 3467176 4333970 5241080 5614003 5634161 6227260 8667940 11228006 11268322 12454520 17335880 22456012 22536644 28070015 28170805 44912024 45073288 56140030 56341610 72982039 112280060 112683220 145964078 224560120 225366440 241402129 291928156 364910195 482804258 583856312 729820390 965608516 1207010645 1459640780 1931217032 2414021290 2919281560 3138227677 4828042580 6276455354 9656085160 12552910708 15691138385 25105821416 31382276770 62764553540 125529107080