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10535103320 = 2357172718167
BaseRepresentation
bin10011100111111000…
…01110101101011000
31000012012122200212212
421303330032231120
5133033441301240
64501215454252
7522032620640
oct116374165530
930165580785
1010535103320
114516878065
122060227388
13cbb813361
1471d255520
15419d5c165
hex273f0eb58

10535103320 has 128 divisors (see below), whose sum is σ = 28793180160. Its totient is φ = 3386603520.

The previous prime is 10535103289. The next prime is 10535103347. The reversal of 10535103320 is 2330153501.

It is a super-2 number, since 2×105351033202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285877 + ... + 1294043.

It is an arithmetic number, because the mean of its divisors is an integer number (224946720).

Almost surely, 210535103320 is an apocalyptic number.

10535103320 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 10535103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396590080).

10535103320 is an abundant number, since it is smaller than the sum of its proper divisors (18258076840).

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

10535103320 is a wasteful number, since it uses less digits than its factorization.

10535103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

Adding to 10535103320 its reverse (2330153501), we get a palindrome (12865256821).

The spelling of 10535103320 in words is "ten billion, five hundred thirty-five million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 271 280 340 476 542 595 680 952 1084 1190 1355 1897 2168 2380 2710 3794 4607 4760 5420 7588 8167 9214 9485 10840 15176 16334 18428 18970 23035 32249 32668 36856 37940 40835 46070 57169 64498 65336 75880 81670 92140 114338 128996 138839 161245 163340 184280 228676 257992 277678 285845 322490 326680 457352 555356 571690 644980 694195 971873 1110712 1143380 1289960 1388390 1943746 2213257 2286760 2776780 3887492 4426514 4859365 5553560 7774984 8853028 9718730 11066285 15492799 17706056 19437460 22132570 30985598 37625369 38874920 44265140 61971196 75250738 77463995 88530280 123942392 150501476 154927990 188126845 263377583 301002952 309855980 376253690 526755166 619711960 752507380 1053510332 1316887915 1505014760 2107020664 2633775830 5267551660 10535103320