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102311313200 = 24522632813461
BaseRepresentation
bin101111101001000111…
…0101011111100110000
3100210002020210012220022
41133102032223330300
53134013144010300
6115000130303012
710251240545645
oct1372216537460
9323066705808
10102311313200
113a4320839a8
12179b3a27a68
1398566160a5
144d47dd5dcc
1529dc0e3285
hex17d23abf30

102311313200 has 120 divisors (see below), whose sum is σ = 247687155936. Its totient is φ = 40612096000.

The previous prime is 102311313173. The next prime is 102311313229. The reversal of 102311313200 is 2313113201.

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, 29559470 + ... + 29562930.

Almost surely, 2102311313200 is an apocalyptic number.

102311313200 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 102311313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123843577968).

102311313200 is an abundant number, since it is smaller than the sum of its proper divisors (145375842736).

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

102311313200 is a wasteful number, since it uses less digits than its factorization.

102311313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102311313200 its reverse (2313113201), we get a palindrome (104624426401).

The spelling of 102311313200 in words is "one hundred two billion, three hundred eleven million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 281 400 526 562 1052 1124 1315 1405 2104 2248 2630 2810 3461 4208 4496 5260 5620 6575 6922 7025 10520 11240 13150 13844 14050 17305 21040 22480 26300 27688 28100 34610 52600 55376 56200 69220 73903 86525 105200 112400 138440 147806 173050 276880 295612 346100 369515 591224 692200 739030 910243 972541 1182448 1384400 1478060 1820486 1847575 1945082 2956120 3640972 3695150 3890164 4551215 4862705 5912240 7281944 7390300 7780328 9102430 9725410 14563888 14780600 15560656 18204860 19450820 22756075 24313525 29561200 36409720 38901640 45512150 48627050 72819440 77803280 91024300 97254100 182048600 194508200 255778283 364097200 389016400 511556566 1023113132 1278891415 2046226264 2557782830 4092452528 5115565660 6394457075 10231131320 12788914150 20462262640 25577828300 51155656600 102311313200