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200101202022020 = 2251310111367433629
BaseRepresentation
bin101101011111110110110001…
…000100001100111010000100
3222020111111011211002110001012
4231133312301010030322010
5202211424230204201040
61545325120112021352
760101556216312425
oct5537666104147204
9866444154073035
10200101202022020
1158838496a06382
121a538b53831858
138786601b20250
14375ad4257d64c
151820158ab3865
hexb5fdb110ce84

200101202022020 has 96 divisors (see below), whose sum is σ = 461061530788320. Its totient is φ = 72504636825600.

The previous prime is 200101202022019. The next prime is 200101202022031. The reversal of 200101202022020 is 20220202101002.

200101202022020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 80329059171904 + 119772142850116 = 8962648^2 + 10944046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200101202021986 and 200101202022004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30749435 + ... + 36684194.

It is an arithmetic number, because the mean of its divisors is an integer number (4802724279045).

Almost surely, 2200101202022020 is an apocalyptic number.

200101202022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101202022020 is an abundant number, since it is smaller than the sum of its proper divisors (260960328766300).

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

200101202022020 is a wasteful number, since it uses less digits than its factorization.

200101202022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67433865 (or 67433863 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200101202022020 its reverse (20220202101002), we get a palindrome (220321404123022).

The spelling of 200101202022020 in words is "two hundred trillion, one hundred one billion, two hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 113 130 202 226 260 404 452 505 565 1010 1130 1313 1469 2020 2260 2626 2938 5252 5876 6565 7345 11413 13130 14690 22826 26260 29380 45652 57065 114130 148369 228260 296738 593476 741845 1483690 2967380 67433629 134867258 269734516 337168145 674336290 876637177 1348672580 1753274354 3506548708 4383185885 6810796529 7620000077 8766371770 13621593058 15240000154 17532743540 27243186116 30480000308 34053982645 38100000385 68107965290 76200000770 88540354877 99060001001 136215930580 152400001540 177080709754 198120002002 354161419508 396240004004 442701774385 495300005005 769620007777 885403548770 990600010010 1539240015554 1770807097540 1981200020020 3078480031108 3848100038885 7696200077770 10005060101101 15392400155540 20010120202202 40020240404404 50025300505505 100050601011010 200101202022020