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135523325002350 = 23524750233827029
BaseRepresentation
bin11110110100000111111011…
…101001010100001001101110
3122202211220101112110000102110
4132310013323221110021232
5120230403232200033400
61200122320033304450
740355144221454505
oct3664077351241156
9582756345400373
10135523325002350
113a20013497272a
12132493b3405126
135a80a43c9944c
14256751489783c
1510a0415509e50
hex7b41fba5426e

135523325002350 has 96 divisors (see below), whose sum is σ = 343317289144320. Its totient is φ = 35363575693440.

The previous prime is 135523325002319. The next prime is 135523325002367. The reversal of 135523325002350 is 53200523325531.

It is a junction number, because it is equal to n+sod(n) for n = 135523325002299 and 135523325002308.

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, 33498636 + ... + 37325664.

It is an arithmetic number, because the mean of its divisors is an integer number (3576221761920).

Almost surely, 2135523325002350 is an apocalyptic number.

135523325002350 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 135523325002350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171658644572160).

135523325002350 is an abundant number, since it is smaller than the sum of its proper divisors (207793964141970).

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

135523325002350 is a wasteful number, since it uses less digits than its factorization.

135523325002350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832114 (or 3832109 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 39.

Adding to 135523325002350 its reverse (53200523325531), we get a palindrome (188723848327881).

The spelling of 135523325002350 in words is "one hundred thirty-five trillion, five hundred twenty-three billion, three hundred twenty-five million, two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 5023 7050 10046 15069 25115 30138 50230 75345 125575 150690 236081 251150 376725 472162 708243 753450 1180405 1416486 2360810 3541215 3827029 5902025 7082430 7654058 11481087 11804050 17706075 19135145 22962174 35412150 38270290 57405435 95675725 114810870 179870363 191351450 287027175 359740726 539611089 574054350 899351815 1079222178 1798703630 2698055445 4496759075 5396110890 8993518150 13490277225 19223166667 26980554450 38446333334 57669500001 96115833335 115339000002 192231666670 288347500005 480579166675 576695000010 903488833349 961158333350 1441737500025 1806977666698 2710466500047 2883475000050 4517444166745 5420933000094 9034888333490 13552332500235 22587220833725 27104665000470 45174441667450 67761662501175 135523325002350