Search a number
-
+
202121010010212 = 2232337731991362463
BaseRepresentation
bin101101111101001111110111…
…000000001101100001100100
3222111122120122201011100120120
4231331033313000031201210
5202443022312030311322
61553513035443001540
760400522023040266
oct5575176700154144
9874576581140516
10202121010010212
1159447047959937
121a8044a53692b0
1388a1c11040b97
1437ca9cda11b36
151857970a2ea5c
hexb7d3f700d864

202121010010212 has 192 divisors, whose sum is σ = 514919834419200. Its totient is φ = 61532882205696.

The previous prime is 202121010010181. The next prime is 202121010010259. The reversal of 202121010010212 is 212010010121202.

It is a junction number, because it is equal to n+sod(n) for n = 202121010010191 and 202121010010200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147668493 + ... + 149030955.

It is an arithmetic number, because the mean of its divisors is an integer number (2681874137600).

Almost surely, 2202121010010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202121010010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257459917209600).

202121010010212 is an abundant number, since it is smaller than the sum of its proper divisors (312798824408988).

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

202121010010212 is a wasteful number, since it uses less digits than its factorization.

202121010010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362802 (or 1362800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202121010010212 its reverse (212010010121202), we get a palindrome (414131020131414).

The spelling of 202121010010212 in words is "two hundred two trillion, one hundred twenty-one billion, ten million, ten thousand, two hundred twelve".