Search a number
-
+
202102020221200 = 245211101236712269
BaseRepresentation
bin101101111100111110001011…
…000111111010100100010000
3222111120202122021112010021121
4231330332023013322210100
5202442214414134034300
61553500215241532024
760366250315353031
oct5574761307724420
9874522567463247
10202102020221200
1159439a92698330
121a8008857a4014
1388a01a5a3a038
1437c9b0b974a88
15185720d81081a
hexb7cf8b1fa910

202102020221200 has 360 divisors, whose sum is σ = 536488868050560. Its totient is φ = 72559822080000.

The previous prime is 202102020221173. The next prime is 202102020221251. The reversal of 202102020221200 is 2122020201202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16472568666 + ... + 16472580934.

It is an arithmetic number, because the mean of its divisors is an integer number (1490246855696).

Almost surely, 2202102020221200 is an apocalyptic number.

202102020221200 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 202102020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268244434025280).

202102020221200 is an abundant number, since it is smaller than the sum of its proper divisors (334386847829360).

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

202102020221200 is a wasteful number, since it uses less digits than its factorization.

202102020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12867 (or 12755 counting only the distinct ones).

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

Adding to 202102020221200 its reverse (2122020201202), we get a palindrome (204224040422402).

The spelling of 202102020221200 in words is "two hundred two trillion, one hundred two billion, twenty million, two hundred twenty-one thousand, two hundred".