Search a number
-
+
202001212301120 = 2652081303341561
BaseRepresentation
bin101101111011100000010010…
…100000001101111101000000
3222111020010102210122012000222
4231323200102200031331000
5202434041440322113440
61553342024214202212
760356051231233301
oct5573402240157500
9874203383565028
10202001212301120
1159400262201991
121a7a5231353368
13889382ba3379b
1437c4ca74c67a8
1518547ad6d72b5
hexb7b81280df40

202001212301120 has 56 divisors (see below), whose sum is σ = 481246534648008. Its totient is φ = 80761656934400.

The previous prime is 202001212301107. The next prime is 202001212301159. The reversal of 202001212301120 is 21103212100202.

It can be written as a sum of positive squares in 4 ways, for example, as 2873214843136 + 199127997457984 = 1695056^2 + 14111272^2 .

It is a super-2 number, since 2×2020012123011202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151004861 + ... + 152336700.

Almost surely, 2202001212301120 is an apocalyptic number.

202001212301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001212301120 is an abundant number, since it is smaller than the sum of its proper divisors (279245322346888).

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

202001212301120 is a wasteful number, since it uses less digits than its factorization.

202001212301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303343659 (or 303343649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 202001212301120 its reverse (21103212100202), we get a palindrome (223104424401322).

The spelling of 202001212301120 in words is "two hundred two trillion, one billion, two hundred twelve million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2081 4162 8324 10405 16648 20810 33296 41620 66592 83240 133184 166480 332960 665920 303341561 606683122 1213366244 1516707805 2426732488 3033415610 4853464976 6066831220 9706929952 12133662440 19413859904 24267324880 48534649760 97069299520 631253788441 1262507576882 2525015153764 3156268942205 5050030307528 6312537884410 10100060615056 12625075768820 20200121230112 25250151537640 40400242460224 50500303075280 101000606150560 202001212301120