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125135005220 = 225172918170117
BaseRepresentation
bin111010010001010100…
…0001010011000100100
3102221222212120220101222
41310202220022120210
54022234030131340
6133253005235512
712016650665051
oct1644250123044
9387885526358
10125135005220
11490844a2595
1220303562b98
13ba52cc49b4
1460b130c028
1533c5bc88b5
hex1d22a0a624

125135005220 has 96 divisors (see below), whose sum is σ = 289430275680. Its totient is φ = 45233233920.

The previous prime is 125135005211. The next prime is 125135005291. The reversal of 125135005220 is 22500531521.

It can be written as a sum of positive squares in 16 ways, for example, as 51467274496 + 73667730724 = 226864^2 + 271418^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125135005220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1749602 + ... + 1819718.

It is an arithmetic number, because the mean of its divisors is an integer number (3014898705).

Almost surely, 2125135005220 is an apocalyptic number.

125135005220 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 125135005220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144715137840).

125135005220 is an abundant number, since it is smaller than the sum of its proper divisors (164295270460).

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

125135005220 is a wasteful number, since it uses less digits than its factorization.

125135005220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70353 (or 70351 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 125135005220 its reverse (22500531521), we get a palindrome (147635536741).

The spelling of 125135005220 in words is "one hundred twenty-five billion, one hundred thirty-five million, five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 181 290 340 362 493 580 724 905 986 1810 1972 2465 3077 3620 4930 5249 6154 9860 10498 12308 15385 20996 26245 30770 52490 61540 70117 89233 104980 140234 178466 280468 350585 356932 446165 701170 892330 1191989 1402340 1784660 2033393 2383978 4066786 4767956 5959945 8133572 10166965 11919890 12691177 20333930 23839780 25382354 34567681 40667860 50764708 63455885 69135362 126911770 138270724 172838405 215750009 253823540 345676810 368044133 431500018 691353620 736088266 863000036 1078750045 1472176532 1840220665 2157500090 3680441330 4315000180 6256750261 7360882660 12513500522 25027001044 31283751305 62567502610 125135005220