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102313324400 = 2452739119343
BaseRepresentation
bin101111101001001011…
…0010110111101110000
3100210002101120101202012
41133102112112331300
53134014202340100
6115000241342052
710251263623340
oct1372226267560
9323071511665
10102313324400
113a433227a51
12179b4637928
139856b6b651
144d4839ad20
1529dc38e135
hex17d2596f70

102313324400 has 120 divisors (see below), whose sum is σ = 281025060864. Its totient is φ = 35066131200.

The previous prime is 102313324357. The next prime is 102313324403. The reversal of 102313324400 is 4423313201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313324403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10946129 + ... + 10955471.

Almost surely, 2102313324400 is an apocalyptic number.

102313324400 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 102313324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140512530432).

102313324400 is an abundant number, since it is smaller than the sum of its proper divisors (178711736464).

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

102313324400 is a wasteful number, since it uses less digits than its factorization.

102313324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13279 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 102313324400 its reverse (4423313201), we get a palindrome (106736637601).

The spelling of 102313324400 in words is "one hundred two billion, three hundred thirteen million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 3911 7822 9343 15644 18686 19555 27377 31288 37372 39110 46715 54754 62576 65401 74744 78220 93430 97775 109508 130802 136885 149488 156440 186860 195550 219016 233575 261604 273770 312880 327005 373720 391100 438032 467150 523208 547540 654010 684425 747440 782200 934300 1046416 1095080 1308020 1368850 1564400 1635025 1868600 2190160 2616040 2737700 3270050 3737200 5232080 5475400 6540100 10950800 13080200 26160400 36540473 73080946 146161892 182702365 255783311 292323784 365404730 511566622 584647568 730809460 913511825 1023133244 1278916555 1461618920 1827023650 2046266488 2557833110 2923237840 3654047300 4092532976 5115666220 6394582775 7308094600 10231332440 12789165550 14616189200 20462664880 25578331100 51156662200 102313324400