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2023130021220 = 223257211229131499
BaseRepresentation
bin11101011100001011111…
…100100011110101100100
321011102001102001200010200
4131130023330203311210
5231121332241134340
64145225121350500
7266111022304200
oct35341374436544
97142042050120
102023130021220
11710006177100
1228811a198430
13118a1b548869
146dcc4745b00
153795d922330
hex1d70bf23d64

2023130021220 has 1296 divisors, whose sum is σ = 8195667480000. Its totient is φ = 401988787200.

The previous prime is 2023130021197. The next prime is 2023130021257. The reversal of 2023130021220 is 221200313202.

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 = 2023130021193 and 2023130021202.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 4054368531 + ... + 4054369029.

It is an arithmetic number, because the mean of its divisors is an integer number (6323817500).

Almost surely, 22023130021220 is an apocalyptic number.

2023130021220 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 2023130021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097833740000).

2023130021220 is an abundant number, since it is smaller than the sum of its proper divisors (6172537458780).

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

2023130021220 is a wasteful number, since it uses less digits than its factorization.

2023130021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2023130021220 its reverse (221200313202), we get a palindrome (2244330334422).

The spelling of 2023130021220 in words is "two trillion, twenty-three billion, one hundred thirty million, twenty-one thousand, two hundred twenty".