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102020221200 = 24352101841751
BaseRepresentation
bin101111100000011100…
…0010000100100010000
3100202022222001012202010
41133000320100210100
53132414134034300
6114511211222520
710241104400142
oct1370070204420
9322288035663
10102020221200
113a2a28341a7
1217932447a40
13980b216ac1
144d1b4a0c92
1529c1793a50
hex17c0e10910

102020221200 has 120 divisors (see below), whose sum is σ = 330040858176. Its totient is φ = 26936000000.

The previous prime is 102020221189. The next prime is 102020221201. The reversal of 102020221200 is 2122020201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102020221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299676 + ... + 542075.

Almost surely, 2102020221200 is an apocalyptic number.

102020221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020221200 is an abundant number, since it is smaller than the sum of its proper divisors (228020636976).

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

102020221200 is a wasteful number, since it uses less digits than its factorization.

102020221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841873 (or 841862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020221200 its reverse (2122020201), we get a palindrome (104142241401).

The spelling of 102020221200 in words is "one hundred two billion, twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 150 200 202 240 300 303 400 404 505 600 606 808 1010 1200 1212 1515 1616 2020 2424 2525 3030 4040 4848 5050 6060 7575 8080 10100 12120 15150 20200 24240 30300 40400 60600 121200 841751 1683502 2525253 3367004 4208755 5050506 6734008 8417510 10101012 12626265 13468016 16835020 20202024 21043775 25252530 33670040 40404048 42087550 50505060 63131325 67340080 84175100 85016851 101010120 126262650 168350200 170033702 202020240 252525300 255050553 336700400 340067404 425084255 505050600 510101106 680134808 850168510 1010101200 1020202212 1275252765 1360269616 1700337020 2040404424 2125421275 2550505530 3400674040 4080808848 4250842550 5101011060 6376263825 6801348080 8501685100 10202022120 12752527650 17003370200 20404044240 25505055300 34006740400 51010110600 102020221200