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230103301032 = 23321117371273637
BaseRepresentation
bin1101011001001100111…
…0011011101110101000
3210222221021221211020200
43112103032123232220
512232222421113112
6253412532152200
722424113534023
oct3262316335650
9728837854220
10230103301032
118964a350890
1238719168660
1318910c12437
14b1cc13a1ba
155ebb1a5cdc
hex359339bba8

230103301032 has 384 divisors, whose sum is σ = 745323171840. Its totient is φ = 63332720640.

The previous prime is 230103301013. The next prime is 230103301033.

230103301032 is a `hidden beast` number, since 2 + 301 + 0 + 330 + 1 + 0 + 32 = 666.

230103301032 is nontrivially palindromic in base 10.

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 = 230103300996 and 230103301014.

It is not an unprimeable number, because it can be changed into a prime (230103301033) 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, 63265518 + ... + 63269154.

It is an arithmetic number, because the mean of its divisors is an integer number (1940945760).

Almost surely, 2230103301032 is an apocalyptic number.

230103301032 is a gapful number since it is divisible by the number (22) 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 230103301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372661585920).

230103301032 is an abundant number, since it is smaller than the sum of its proper divisors (515219870808).

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

230103301032 is a wasteful number, since it uses less digits than its factorization.

230103301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 230103 and 301032, that added together give a palindrome (531135).

The spelling of 230103301032 in words is "two hundred thirty billion, one hundred three million, three hundred one thousand, thirty-two".