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102122001220 = 225103193397647
BaseRepresentation
bin101111100011011110…
…0100001001101000100
3100202121001120011200111
41133012330201031010
53133121213014340
6114525244522404
710243451454661
oct1370674411504
9322531504614
10102122001220
113a345231018
1217960550404
139826331875
144d2abd6a68
1529ca69aaea
hex17c6f21344

102122001220 has 96 divisors (see below), whose sum is σ = 218545786368. Its totient is φ = 40079204352.

The previous prime is 102122001209. The next prime is 102122001229. The reversal of 102122001220 is 22100221201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122001220.

It is not an unprimeable number, because it can be changed into a prime (102122001229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157838937 + ... + 157839583.

It is an arithmetic number, because the mean of its divisors is an integer number (2276518608).

Almost surely, 2102122001220 is an apocalyptic number.

102122001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122001220 is an abundant number, since it is smaller than the sum of its proper divisors (116423785148).

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

102122001220 is a wasteful number, since it uses less digits than its factorization.

102122001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102122001220 its reverse (22100221201), we get a palindrome (124222222421).

The spelling of 102122001220 in words is "one hundred two billion, one hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103 193 206 386 397 412 515 647 772 794 965 1030 1294 1588 1930 1985 2060 2588 3235 3860 3970 6470 7940 12940 19879 39758 40891 66641 76621 79516 81782 99395 124871 133282 153242 163564 198790 204455 249742 256859 266564 306484 333205 383105 397580 408910 499484 513718 624355 666410 766210 817820 1027436 1248710 1284295 1332820 1532420 2497420 2568590 5137180 7891963 12861713 15783926 25723426 26456477 31567852 39459815 49573787 51446852 52912954 64308565 78919630 99147574 105825908 128617130 132282385 157839260 198295148 247868935 257234260 264564770 495737870 529129540 991475740 5106100061 10212200122 20424400244 25530500305 51061000610 102122001220