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202000221202120 = 235112431019609851
BaseRepresentation
bin101101111011011111010111…
…011011011110011011001000
3222111020000212201201010210121
4231323133113123132123020
5202434032423111431440
61553341342011353024
760356014535103655
oct5573372733363310
9874200781633717
10202000221202120
11593aa8a3808600
121a7a4bb5452774
1388937015c1b83
1437c4c11a14c2c
1518547516b334a
hexb7b7d76de6c8

202000221202120 has 192 divisors, whose sum is σ = 516254318838720. Its totient is φ = 71036011200000.

The previous prime is 202000221202103. The next prime is 202000221202123. The reversal of 202000221202120 is 21202122000202.

202000221202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202000221202094 and 202000221202103.

It is not an unprimeable number, because it can be changed into a prime (202000221202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16215195 + ... + 25825045.

It is an arithmetic number, because the mean of its divisors is an integer number (2688824577285).

Almost surely, 2202000221202120 is an apocalyptic number.

202000221202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000221202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258127159419360).

202000221202120 is an abundant number, since it is smaller than the sum of its proper divisors (314254097636600).

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

202000221202120 is a wasteful number, since it uses less digits than its factorization.

202000221202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610028 (or 9610013 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202000221202120 its reverse (21202122000202), we get a palindrome (223202343202322).

The spelling of 202000221202120 in words is "two hundred two trillion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".