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102020202322020 = 223253715318348697
BaseRepresentation
bin10111001100100101101101…
…111010110101100001100100
3111101020000222022101200010200
4113030211231322311201210
5101332444333243301040
61000551233421350500
730326500501432323
oct2714455572654144
9441200868350120
10102020202322020
112a563585605564
12b538247408430
1344c0604c730c8
141b29b387b20ba
15bbdba6180630
hex5cc96deb5864

102020202322020 has 72 divisors (see below), whose sum is σ = 317825098786104. Its totient is φ = 26470106546688.

The previous prime is 102020202322019. The next prime is 102020202322033. The reversal of 102020202322020 is 20223202020201.

102020202322020 is a `hidden beast` number, since 10 + 20 + 202 + 0 + 232 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14878238701824 + 87141963620196 = 3857232^2 + 9334986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102020202321984 and 102020202322002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7659167689 + ... + 7659181008.

Almost surely, 2102020202322020 is an apocalyptic number.

102020202322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020202322020 is an abundant number, since it is smaller than the sum of its proper divisors (215804896464084).

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

102020202322020 is a wasteful number, since it uses less digits than its factorization.

102020202322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15318348749 (or 15318348744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102020202322020 its reverse (20223202020201), we get a palindrome (122243404342221).

The spelling of 102020202322020 in words is "one hundred two trillion, twenty billion, two hundred two million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 15318348697 30636697394 45955046091 61273394788 76591743485 91910092182 137865138273 153183486970 183820184364 229775230455 275730276546 306366973940 459550460910 551460553092 566778901789 689325691365 919100921820 1133557803578 1378651382730 1700336705367 2267115607156 2757302765460 2833894508945 3400673410734 5101010116101 5667789017890 6801346821468 8501683526835 10202020232202 11335578035780 17003367053670 20404040464404 25505050580505 34006734107340 51010101161010 102020202322020