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230103202000020 = 223537836172023981
BaseRepresentation
bin110100010100011100010011…
…100111011110110010010100
31010011201122120210002121120120
4310110130103213132302110
5220130002324203000040
62133215541321431540
766316256565362406
oct6424342347366224
91104648523077516
10230103202000020
1167355246829508
122198366093b5b0
139b5183c6c981b
1440b70a93bab76
151b907a42487d0
hexd147139dec94

230103202000020 has 192 divisors, whose sum is σ = 670760199680256. Its totient is φ = 58887519989760.

The previous prime is 230103201999997. The next prime is 230103202000027. The reversal of 230103202000020 is 20000202301032.

230103202000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2301032020000203 (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230103202000027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112676430 + ... + 114700410.

It is an arithmetic number, because the mean of its divisors is an integer number (3493542706668).

Almost surely, 2230103202000020 is an apocalyptic number.

230103202000020 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 230103202000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335380099840128).

230103202000020 is an abundant number, since it is smaller than the sum of its proper divisors (440656997680236).

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

230103202000020 is a wasteful number, since it uses less digits than its factorization.

230103202000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024730 (or 2024728 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230103202000020 its reverse (20000202301032), we get a palindrome (250103404301052).

The spelling of 230103202000020 in words is "two hundred thirty trillion, one hundred three billion, two hundred two million, twenty", and thus it is an aban number.