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202301102320020 = 22335114310915494691
BaseRepresentation
bin101101111111110111100101…
…010101110110100110010100
3222112021210111122121121002000
4231333313211111312212110
5203004000124143220040
61554131502102115300
760416525622313224
oct5577674525664624
9875253448547060
10202301102320020
115950646330a810
121a833385a1bb30
1388b5bb1b35802
1437d55d5b9a084
15185c4b13be130
hexb7fde5576994

202301102320020 has 768 divisors, whose sum is σ = 709619581440000. Its totient is φ = 47421942220800.

The previous prime is 202301102320019. The next prime is 202301102320021. The reversal of 202301102320020 is 20023201103202.

202301102320020 is a `hidden beast` number, since 2 + 0 + 230 + 110 + 2 + 320 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (202301102320019) and next prime (202301102320021).

It is a super-3 number, since 3×2023011023200203 (a number of 44 digits) contains 333 as substring.

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 = 202301102319975 and 202301102320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202301102320021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43125365875 + ... + 43125370565.

It is an arithmetic number, because the mean of its divisors is an integer number (923983830000).

Almost surely, 2202301102320020 is an apocalyptic number.

202301102320020 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 202301102320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354809790720000).

202301102320020 is an abundant number, since it is smaller than the sum of its proper divisors (507318479119980).

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

202301102320020 is a wasteful number, since it uses less digits than its factorization.

202301102320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6413 counting only the distinct ones).

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

Adding to 202301102320020 its reverse (20023201103202), we get a palindrome (222324303423222).

The spelling of 202301102320020 in words is "two hundred two trillion, three hundred one billion, one hundred two million, three hundred twenty thousand, twenty".