Search a number
-
+
2021221121010 = 2357132288719727
BaseRepresentation
bin11101011010011010001…
…010101011101111110010
321011020010101010111022220
4131122122022223233302
5231103430101333020
64144311451141510
7266012513025360
oct35323212535762
97136111114286
102021221121010
1170a2166a2123
12287886a44896
131187a5c19c00
146db83002630
153789b057240
hex1d69a2abbf2

2021221121010 has 192 divisors, whose sum is σ = 6005564301312. Its totient is φ = 426286119168.

The previous prime is 2021221120991. The next prime is 2021221121011. The reversal of 2021221121010 is 101211221202.

It is a super-3 number, since 3×20212211210103 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2021221121011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102449767 + ... + 102469493.

It is an arithmetic number, because the mean of its divisors is an integer number (31278980736).

Almost surely, 22021221121010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021221121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002782150656).

2021221121010 is an abundant number, since it is smaller than the sum of its proper divisors (3984343180302).

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

2021221121010 is a wasteful number, since it uses less digits than its factorization.

2021221121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22657 (or 22644 counting only the distinct ones).

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

Adding to 2021221121010 its reverse (101211221202), we get a palindrome (2122432342212).

The spelling of 2021221121010 in words is "two trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, ten".