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200101202202120 = 23352776019891763
BaseRepresentation
bin101101011111110110110001…
…000100111000111000001000
3222020111111011211102121002120
4231133312301010320320020
5202211424230230431440
61545325120115531240
760101556220662462
oct5537666104707010
9866444154377076
10200101202202120
115883849701971a
121a538b538b9b20
138786601b8420b
14375ad425c9132
151820158aebdd0
hexb5fdb1138e08

200101202202120 has 64 divisors (see below), whose sum is σ = 602470767741120. Its totient is φ = 53167684041984.

The previous prime is 200101202202091. The next prime is 200101202202151. The reversal of 200101202202120 is 21202202101002.

200101202202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2001012022021202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200101202202120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3009912642 + ... + 3009979121.

It is an arithmetic number, because the mean of its divisors is an integer number (9413605745955).

Almost surely, 2200101202202120 is an apocalyptic number.

200101202202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101202202120 is an abundant number, since it is smaller than the sum of its proper divisors (402369565539000).

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

200101202202120 is a wasteful number, since it uses less digits than its factorization.

200101202202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019892054 (or 6019892050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200101202202120 its reverse (21202202101002), we get a palindrome (221303404303122).

The spelling of 200101202202120 in words is "two hundred trillion, one hundred one billion, two hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 2216 2770 3324 4155 5540 6648 8310 11080 16620 33240 6019891763 12039783526 18059675289 24079567052 30099458815 36119350578 48159134104 60198917630 72238701156 90298376445 120397835260 144477402312 180596752890 240795670520 361193505780 722387011560 1667510018351 3335020036702 5002530055053 6670040073404 8337550091755 10005060110106 13340080146808 16675100183510 20010120220212 25012650275265 33350200367020 40020240440424 50025300550530 66700400734040 100050601101060 200101202202120