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10541052120330 = 235515532793227
BaseRepresentation
bin1001100101100100011110…
…1010101100110100001010
31101022201022001020202100000
42121121013222230310022
52340201033320322310
634230254213423430
72135365045443654
oct231310752546412
941281261222300
1010541052120330
1133a4487132096
121222b1503ab76
135b602b314254
142862925576d4
151342e4ad74c0
hex99647aacd0a

10541052120330 has 96 divisors (see below), whose sum is σ = 28440111196224. Its totient is φ = 2809136215296.

The previous prime is 10541052120329. The next prime is 10541052120349. The reversal of 10541052120330 is 3302125014501.

10541052120330 is a `hidden beast` number, since 1 + 0 + 5 + 410 + 5 + 212 + 0 + 3 + 30 = 666.

It is a super-2 number, since 2×105410521203302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10541052120294 and 10541052120303.

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, 2377177 + ... + 5170403.

It is an arithmetic number, because the mean of its divisors is an integer number (296251158294).

Almost surely, 210541052120330 is an apocalyptic number.

10541052120330 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 10541052120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220055598112).

10541052120330 is an abundant number, since it is smaller than the sum of its proper divisors (17899059075894).

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

10541052120330 is a wasteful number, since it uses less digits than its factorization.

10541052120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794802 (or 2794790 counting only the distinct ones).

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

Adding to 10541052120330 its reverse (3302125014501), we get a palindrome (13843177134831).

The spelling of 10541052120330 in words is "ten trillion, five hundred forty-one billion, fifty-two million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 1553 2430 3106 4659 7765 9318 13977 15530 23295 27954 41931 46590 69885 83862 125793 139770 209655 251586 377379 419310 628965 754758 1257930 1886895 2793227 3773790 5586454 8379681 13966135 16759362 25139043 27932270 41898405 50278086 75417129 83796810 125695215 150834258 226251387 251390430 377085645 452502774 678754161 754171290 1131256935 1357508322 2262513870 3393770805 4337881531 6787541610 8675763062 13013644593 21689407655 26027289186 39040933779 43378815310 65068222965 78081867558 117122801337 130136445930 195204668895 234245602674 351368404011 390409337790 585614006685 702736808022 1054105212033 1171228013370 1756842020055 2108210424066 3513684040110 5270526060165 10541052120330