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10525301305140 = 22351811908750777
BaseRepresentation
bin1001100100101001110011…
…0110000110111100110100
31101021012122100022102211110
42121022130312012330310
52334421304113231030
634215131235035020
72134266530641656
oct231123466067464
941235570272743
1010525301305140
113398834213556
12121ba5a13ba70
135b46bb07666b
142855da72c6d6
15133bc1e141b0
hex9929cd86f34

10525301305140 has 96 divisors (see below), whose sum is σ = 29635802187264. Its totient is φ = 2791038919680.

The previous prime is 10525301305121. The next prime is 10525301305163. The reversal of 10525301305140 is 4150310352501.

10525301305140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105253013051402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10525301305098 and 10525301305107.

It is a congruent number.

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, 207259432 + ... + 207310208.

It is an arithmetic number, because the mean of its divisors is an integer number (308706272784).

Almost surely, 210525301305140 is an apocalyptic number.

10525301305140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10525301305140 is an abundant number, since it is smaller than the sum of its proper divisors (19110500882124).

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

10525301305140 is a wasteful number, since it uses less digits than its factorization.

10525301305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70057 (or 70055 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 10525301305140 its reverse (4150310352501), we get a palindrome (14675611657641).

The spelling of 10525301305140 in words is "ten trillion, five hundred twenty-five billion, three hundred one million, three hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 19087 38174 50777 57261 76348 95435 101554 114522 152331 190870 203108 229044 253885 286305 304662 381740 507770 572610 609324 761655 1015540 1145220 1523310 3046620 3454747 6909494 9190637 10364241 13818988 17273735 18381274 20728482 27571911 34547470 36762548 41456964 45953185 51821205 55143822 69094940 91906370 103642410 110287644 137859555 183812740 207284820 275719110 551438220 969180599 1938361198 2907541797 3876722396 4845902995 5815083594 9691805990 11630167188 14537708985 19383611980 29075417970 58150835940 175421688419 350843376838 526265065257 701686753676 877108442095 1052530130514 1754216884190 2105060261028 2631325326285 3508433768380 5262650652570 10525301305140