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10525302101340 = 22325134733950347
BaseRepresentation
bin1001100100101001110011…
…1001001001010101011100
31101021012122101210220000100
42121022130321021111130
52334421304314220330
634215131304101100
72134266540466155
oct231123471112534
941235571726010
1010525302101340
113398834707774
12121ba5a464790
135b46bb294ba0
142855da89892c
15133bc2020060
hex9929ce4955c

10525302101340 has 144 divisors (see below), whose sum is σ = 34389954170208. Its totient is φ = 2590293468672.

The previous prime is 10525302101311. The next prime is 10525302101407. The reversal of 10525302101340 is 4310120352501.

10525302101340 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 302 + 10 + 1 + 340 = 666.

It is a super-2 number, since 2×105253021013402 (a number of 27 digits) contains 22 as substring.

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, 10600047 + ... + 11550393.

It is an arithmetic number, because the mean of its divisors is an integer number (238819126182).

Almost surely, 210525302101340 is an apocalyptic number.

10525302101340 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 10525302101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17194977085104).

10525302101340 is an abundant number, since it is smaller than the sum of its proper divisors (23864652068868).

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

10525302101340 is a wasteful number, since it uses less digits than its factorization.

10525302101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955108 (or 955103 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10525302101340 its reverse (4310120352501), we get a palindrome (14835422453841).

The spelling of 10525302101340 in words is "ten trillion, five hundred twenty-five billion, three hundred two million, one hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4733 9466 14199 18932 23665 28398 42597 47330 56796 61529 70995 85194 94660 123058 141990 170388 184587 212985 246116 283980 307645 369174 425970 553761 615290 738348 851940 922935 950347 1107522 1230580 1845870 1900694 2215044 2768805 2851041 3691740 3801388 4751735 5537610 5702082 8553123 9503470 11075220 11404164 12354511 14255205 17106246 19006940 24709022 28510410 34212492 37063533 42765615 49418044 57020820 61772555 74127066 85531230 111190599 123545110 148254132 171062460 185317665 222381198 247090220 370635330 444762396 555952995 741270660 1111905990 2223811980 4497992351 8995984702 13493977053 17991969404 22489961755 26987954106 40481931159 44979923510 53975908212 58473900563 67469885265 80963862318 89959847020 116947801126 134939770530 161927724636 175421701689 202409655795 233895602252 269879541060 292369502815 350843403378 404819311590 526265105067 584739005630 701686806756 809638623180 877108508445 1052530210134 1169478011260 1754217016890 2105060420268 2631325525335 3508434033780 5262651050670 10525302101340