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230010303302100 = 223452172337168981
BaseRepresentation
bin110100010011000101110010…
…011011000100100111010100
31010011101202210111210210110000
4310103011302123010213110
5220121442100121131400
62133105135152131300
766306460510440456
oct6423056233044724
91104352714723400
10230010303302100
1167319904948802
1221969655236b30
139b45b561a1399
1440b27b55262d6
151b8d168688600
hexd131726c49d4

230010303302100 has 360 divisors, whose sum is σ = 792849865095288. Its totient is φ = 57480308121600.

The previous prime is 230010303302099. The next prime is 230010303302123. The reversal of 230010303302100 is 1203303010032.

230010303302100 is a `hidden beast` number, since 2 + 300 + 1 + 0 + 30 + 330 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 135588232023696 + 94422071278404 = 11644236^2 + 9717102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28499610 + ... + 35668590.

Almost surely, 2230010303302100 is an apocalyptic number.

230010303302100 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 230010303302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396424932547644).

230010303302100 is an abundant number, since it is smaller than the sum of its proper divisors (562839561793188).

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

230010303302100 is a wasteful number, since it uses less digits than its factorization.

230010303302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169257 (or 7169241 counting only the distinct ones).

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

Adding to 230010303302100 its reverse (1203303010032), we get a palindrome (231213606312132).

The spelling of 230010303302100 in words is "two hundred thirty trillion, ten billion, three hundred three million, three hundred two thousand, one hundred".