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230202003301120 = 28527128313611723
BaseRepresentation
bin110100010101111000010100…
…101000100010001100000000
31010012002002121102011202001201
4310111320110220202030000
5220133112200321113440
62133333201304310544
766326355145522054
oct6425702450421400
91105062542152051
10230202003301120
1167393137567364
122199a835172454
139b5ac56a7c076
1440bbb9d169c64
151b9313810319a
hexd15e14a22300

230202003301120 has 288 divisors, whose sum is σ = 556126722192384. Its totient is φ = 91296659865600.

The previous prime is 230202003301087. The next prime is 230202003301163. The reversal of 230202003301120 is 21103300202032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133605340579 + ... + 133605342301.

It is an arithmetic number, because the mean of its divisors is an integer number (1930995563168).

Almost surely, 2230202003301120 is an apocalyptic number.

230202003301120 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 230202003301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278063361096192).

230202003301120 is an abundant number, since it is smaller than the sum of its proper divisors (325924718891264).

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

230202003301120 is a wasteful number, since it uses less digits than its factorization.

230202003301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 230202003301120 its reverse (21103300202032), we get a palindrome (251305303503152).

The spelling of 230202003301120 in words is "two hundred thirty trillion, two hundred two billion, three million, three hundred one thousand, one hundred twenty".