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102230345000 = 235477936973
BaseRepresentation
bin101111100110101100…
…1110100010100101000
3100202212121102121102002
41133031121310110220
53133331432020000
6114544115030132
710246235411030
oct1371531642450
9322777377362
10102230345000
113a3a0401333
121799089b348
139842907104
144d3b35a8c0
1529d4e4c8d5
hex17cd674528

102230345000 has 160 divisors (see below), whose sum is σ = 277216262400. Its totient is φ = 34605792000.

The previous prime is 102230344991. The next prime is 102230345027. The reversal of 102230345000 is 543032201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 39 ways as a sum of consecutive naturals, for example, 2746514 + ... + 2783486.

It is an arithmetic number, because the mean of its divisors is an integer number (1732601640).

Almost surely, 2102230345000 is an apocalyptic number.

102230345000 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 102230345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138608131200).

102230345000 is an abundant number, since it is smaller than the sum of its proper divisors (174985917400).

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

102230345000 is an equidigital number, since it uses as much as digits as its factorization.

102230345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37085 (or 37066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 102230345000 its reverse (543032201), we get a palindrome (102773377201).

The spelling of 102230345000 in words is "one hundred two billion, two hundred thirty million, three hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 125 140 158 175 200 250 280 316 350 395 500 553 625 632 700 790 875 1000 1106 1250 1400 1580 1750 1975 2212 2500 2765 3160 3500 3950 4375 4424 5000 5530 7000 7900 8750 9875 11060 13825 15800 17500 19750 22120 27650 35000 36973 39500 49375 55300 69125 73946 79000 98750 110600 138250 147892 184865 197500 258811 276500 295784 345625 369730 395000 517622 553000 691250 739460 924325 1035244 1294055 1382500 1478920 1848650 2070488 2588110 2765000 2920867 3697300 4621625 5176220 5841734 6470275 7394600 9243250 10352440 11683468 12940550 14604335 18486500 20446069 23108125 23366936 25881100 29208670 32351375 36973000 40892138 46216250 51762200 58417340 64702750 73021675 81784276 92432500 102230345 116834680 129405500 146043350 161756875 163568552 184865000 204460690 258811000 292086700 323513750 365108375 408921380 511151725 584173400 647027500 730216750 817842760 1022303450 1294055000 1460433500 1825541875 2044606900 2555758625 2920867000 3651083750 4089213800 5111517250 7302167500 10223034500 12778793125 14604335000 20446069000 25557586250 51115172500 102230345000