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22143141020 = 2257111347101233
BaseRepresentation
bin10100100111110101…
…011000010010011100
32010011012020010001002
4110213311120102130
5330322121003040
614101124205432
71412504410310
oct244765302234
963135203032
1022143141020
119433253650
12435b839878
13211b6bbc10
141100ba1b40
15898ea5a15
hex527d5849c

22143141020 has 384 divisors, whose sum is σ = 64670441472. Its totient is φ = 6147072000.

The previous prime is 22143140983. The next prime is 22143141073. The reversal of 22143141020 is 2014134122.

It is a super-3 number, since 3×221431410203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22143140983 and 22143141001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95034824 + ... + 95035056.

It is an arithmetic number, because the mean of its divisors is an integer number (168412608).

Almost surely, 222143141020 is an apocalyptic number.

22143141020 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 22143141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335220736).

22143141020 is an abundant number, since it is smaller than the sum of its proper divisors (42527300452).

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

22143141020 is a wasteful number, since it uses less digits than its factorization.

22143141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22143141020 its reverse (2014134122), we get a palindrome (24157275142).

The spelling of 22143141020 in words is "twenty-two billion, one hundred forty-three million, one hundred forty-one thousand, twenty".