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2022121031000 = 235375322932377
BaseRepresentation
bin11101011011001111110…
…011100100010101011000
321011022110002110122202112
4131123033303210111120
5231112300440443000
64144541035251452
7266044021110560
oct35331763442530
97138402418675
102022121031000
1170a638672894
12287a982a9b88
131188ba4b1625
146dc2a737da0
1537900067235
hex1d6cfce4558

2022121031000 has 256 divisors, whose sum is σ = 5514483836160. Its totient is φ = 679634841600.

The previous prime is 2022121030931. The next prime is 2022121031003. The reversal of 2022121031000 is 1301212202.

It is a happy number.

It is a super-2 number, since 2×20221210310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022121031003) 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 63 ways as a sum of consecutive naturals, for example, 850701812 + ... + 850704188.

It is an arithmetic number, because the mean of its divisors is an integer number (21540952485).

Almost surely, 22022121031000 is an apocalyptic number.

2022121031000 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 2022121031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757241918080).

2022121031000 is an abundant number, since it is smaller than the sum of its proper divisors (3492362805160).

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

2022121031000 is a wasteful number, since it uses less digits than its factorization.

2022121031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2022121031000 its reverse (1301212202), we get a palindrome (2023422243202).

The spelling of 2022121031000 in words is "two trillion, twenty-two billion, one hundred twenty-one million, thirty-one thousand".