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102122201020 = 22571734216441
BaseRepresentation
bin101111100011011110…
…1010001111110111100
3100202121001221022202111
41133012331101332330
53133121240413040
6114525253103404
710243453246330
oct1370675217674
9322531838674
10102122201020
113a345358144
1217960627b64
1398263a17a8
144d2ac497c0
1529ca6d9dea
hex17c6f51fbc

102122201020 has 48 divisors (see below), whose sum is σ = 246510065088. Its totient is φ = 34810928640.

The previous prime is 102122200991. The next prime is 102122201021. The reversal of 102122201020 is 20102221201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122201021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084001 + ... + 2132440.

It is an arithmetic number, because the mean of its divisors is an integer number (5135626356).

Almost surely, 2102122201020 is an apocalyptic number.

102122201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122201020 is an abundant number, since it is smaller than the sum of its proper divisors (144387864068).

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

102122201020 is a wasteful number, since it uses less digits than its factorization.

102122201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216630 (or 4216628 counting only the distinct ones).

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

Adding to 102122201020 its reverse (20102221201), we get a palindrome (122224422221).

The spelling of 102122201020 in words is "one hundred two billion, one hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 24220 4216441 8432882 16865764 21082205 29515087 42164410 59030174 84328820 118060348 147575435 295150870 590301740 729444293 1458888586 2917777172 3647221465 5106110051 7294442930 10212220102 14588885860 20424440204 25530550255 51061100510 102122201020