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106365325320 = 233251911546907
BaseRepresentation
bin110001100001111011…
…1100001000000001000
3101011112210010101001100
41203003313201000020
53220314010402240
6120510310021400
710453555230162
oct1430367410010
9334483111040
10106365325320
11411224a9241
1218745647860
13a051499127
1452105a9932
152b77e86e30
hex18c3de1008

106365325320 has 96 divisors (see below), whose sum is σ = 347497413120. Its totient is φ = 28215565440.

The previous prime is 106365325301. The next prime is 106365325397. The reversal of 106365325320 is 23523563601.

106365325320 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 5 + 325 + 320 = 666.

It is a super-2 number, since 2×1063653253202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704694 + ... + 842213.

It is an arithmetic number, because the mean of its divisors is an integer number (3619764720).

Almost surely, 2106365325320 is an apocalyptic number.

106365325320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106365325320 is an abundant number, since it is smaller than the sum of its proper divisors (241132087800).

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

106365325320 is a wasteful number, since it uses less digits than its factorization.

106365325320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547115 (or 1547108 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 106365325320 its reverse (23523563601), we get a palindrome (129888888921).

The spelling of 106365325320 in words is "one hundred six billion, three hundred sixty-five million, three hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 955 1146 1528 1719 1910 2292 2865 3438 3820 4584 5730 6876 7640 8595 11460 13752 17190 22920 34380 68760 1546907 3093814 4640721 6187628 7734535 9281442 12375256 13922163 15469070 18562884 23203605 27844326 30938140 37125768 46407210 55688652 61876280 69610815 92814420 111377304 139221630 185628840 278443260 295459237 556886520 590918474 886377711 1181836948 1477296185 1772755422 2363673896 2659133133 2954592370 3545510844 4431888555 5318266266 5909184740 7091021688 8863777110 10636532532 11818369480 13295665665 17727554220 21273065064 26591331330 35455108440 53182662660 106365325320