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202201122022020 = 223451131225745943
BaseRepresentation
bin101101111110011010011110…
…000011010010001010000100
3222111221020102212001012220000
4231332122132003102022010
5203000330344214201040
61554013525121241300
760406356204643032
oct5576323603221204
9874836385035800
10202201122022020
1159478018011060
121a817b22793230
1388a963a433974
1437d082d5c7552
151859aadc77130
hexb7e69e0d2284

202201122022020 has 720 divisors, whose sum is σ = 717816876061824. Its totient is φ = 47251604275200.

The previous prime is 202201122021961. The next prime is 202201122022021. The reversal of 202201122022020 is 20220221102202.

202201122022020 is a `hidden beast` number, since 2 + 0 + 2 + 201 + 1 + 220 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202201122021984 and 202201122022002.

It is not an unprimeable number, because it can be changed into a prime (202201122022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4401107169 + ... + 4401153111.

Almost surely, 2202201122022020 is an apocalyptic number.

202201122022020 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 202201122022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358908438030912).

202201122022020 is an abundant number, since it is smaller than the sum of its proper divisors (515615754039804).

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

202201122022020 is a wasteful number, since it uses less digits than its factorization.

202201122022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46294 (or 46252 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202201122022020 its reverse (20220221102202), we get a palindrome (222421343124222).

The spelling of 202201122022020 in words is "two hundred two trillion, two hundred one billion, one hundred twenty-two million, twenty-two thousand, twenty".