Search a number
-
+
202121001212020 = 22511283521074881
BaseRepresentation
bin101101111101001111110110…
…011110101001100001110100
3222111122120122002121100201121
4231331033312132221201310
5202443022302302241040
61553513034530233324
760400521555204502
oct5575176636514164
9874576562540647
10202121001212020
115944704299a700
121a8044a2425844
1388a1c0c280357
1437ca9cc7a1672
15185796ed92c4a
hexb7d3f67a9874

202121001212020 has 36 divisors (see below), whose sum is σ = 466548724290852. Its totient is φ = 73498545894400.

The previous prime is 202121001212003. The next prime is 202121001212023. The reversal of 202121001212020 is 20212100121202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33447507357924 + 168673493854096 = 5783382^2 + 12987436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202121001211985 and 202121001212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121001212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41760535021 + ... + 41760539860.

It is an arithmetic number, because the mean of its divisors is an integer number (12959686785857).

Almost surely, 2202121001212020 is an apocalyptic number.

202121001212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121001212020 is an abundant number, since it is smaller than the sum of its proper divisors (264427723078832).

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

202121001212020 is a wasteful number, since it uses less digits than its factorization.

202121001212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83521074912 (or 83521074899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202121001212020 its reverse (20212100121202), we get a palindrome (222333101333222).

The spelling of 202121001212020 in words is "two hundred two trillion, one hundred twenty-one billion, one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 83521074881 167042149762 334084299524 417605374405 835210748810 918731823691 1670421497620 1837463647382 3674927294764 4593659118455 9187318236910 10106050060601 18374636473820 20212100121202 40424200242404 50530250303005 101060500606010 202121001212020