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230012322240420 = 2232561103643316301
BaseRepresentation
bin110100010011000111101010…
…110000101101011110100100
31010011101222000012210111011100
4310103013222300231132210
5220122010213443143140
62133110111353040100
766306561524230146
oct6423075260553644
91104358005714140
10230012322240420
116731a75054aa75
1221969b193b6030
139b460b8549845
1440b2927710c96
151b8d235a3c530
hexd131eac2d7a4

230012322240420 has 288 divisors, whose sum is σ = 717142526440704. Its totient is φ = 59652256896000.

The previous prime is 230012322240353. The next prime is 230012322240427. The reversal of 230012322240420 is 24042223210032.

230012322240420 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 1 + 232 + 2 + 2 + 4 + 0 + 420 = 666.

230012322240420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230012322240427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727036270 + ... + 727352570.

It is an arithmetic number, because the mean of its divisors is an integer number (2490078216808).

Almost surely, 2230012322240420 is an apocalyptic number.

230012322240420 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 230012322240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358571263220352).

230012322240420 is an abundant number, since it is smaller than the sum of its proper divisors (487130204200284).

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

230012322240420 is a wasteful number, since it uses less digits than its factorization.

230012322240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317123 (or 317118 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230012322240420 its reverse (24042223210032), we get a palindrome (254054545450452).

The spelling of 230012322240420 in words is "two hundred thirty trillion, twelve billion, three hundred twenty-two million, two hundred forty thousand, four hundred twenty".