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102331220000 = 255447108863
BaseRepresentation
bin101111101001101101…
…0101000000000100000
3100210010122020120220012
41133103122220000200
53134033243020000
6115002121104052
710251602006162
oct1372332500040
9323118216805
10102331220000
113a4423401a9
12179ba628028
13985a795c69
144d4a8d8932
1529ddc26735
hex17d36a8020

102331220000 has 120 divisors (see below), whose sum is σ = 257108898816. Its totient is φ = 40061216000.

The previous prime is 102331219997. The next prime is 102331220003. The reversal of 102331220000 is 22133201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102331219997) and next prime (102331220003).

It is not an unprimeable number, because it can be changed into a prime (102331220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 885569 + ... + 994431.

Almost surely, 2102331220000 is an apocalyptic number.

102331220000 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 102331220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128554449408).

102331220000 is an abundant number, since it is smaller than the sum of its proper divisors (154777678816).

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

102331220000 is an equidigital number, since it uses as much as digits as its factorization.

102331220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108940 (or 108917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102331220000 its reverse (22133201), we get a palindrome (102353353201).

The spelling of 102331220000 in words is "one hundred two billion, three hundred thirty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4700 5000 5875 7520 9400 10000 11750 18800 20000 23500 29375 37600 47000 58750 94000 108863 117500 188000 217726 235000 435452 470000 544315 870904 940000 1088630 1741808 2177260 2721575 3483616 4354520 5116561 5443150 8709040 10233122 10886300 13607875 17418080 20466244 21772600 25582805 27215750 40932488 43545200 51165610 54431500 68039375 81864976 87090400 102331220 108863000 127914025 136078750 163729952 204662440 217726000 255828050 272157500 409324880 435452000 511656100 544315000 639570125 818649760 1023312200 1088630000 1279140250 2046624400 2177260000 2558280500 3197850625 4093248800 5116561000 6395701250 10233122000 12791402500 20466244000 25582805000 51165610000 102331220000