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230102400512420 = 22517773875513281
BaseRepresentation
bin110100010100011011100011…
…110110000011000110100100
31010011201120111220221211021122
4310110123203312003012210
5220124444204012344140
62133215330011033112
766316230664012022
oct6424334366030644
91104646456854248
10230102400512420
1167354975371a67
122198347843b798
139b517426457c7
1440b7030b85712
151b90758bcaab5
hexd146e3d831a4

230102400512420 has 48 divisors (see below), whose sum is σ = 512301343882608. Its totient is φ = 86514720276480.

The previous prime is 230102400512417. The next prime is 230102400512423. The reversal of 230102400512420 is 24215004201032.

It is an interprime number because it is at equal distance from previous prime (230102400512417) and next prime (230102400512423).

It can be written as a sum of positive squares in 8 ways, for example, as 12440533168996 + 217661867343424 = 3527114^2 + 14753368^2 .

It is a super-2 number, since 2×2301024005124202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230102400512420.

It is not an unprimeable number, because it can be changed into a prime (230102400512423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437493821 + ... + 438019460.

It is an arithmetic number, because the mean of its divisors is an integer number (10672944664221).

Almost surely, 2230102400512420 is an apocalyptic number.

230102400512420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230102400512420 is an abundant number, since it is smaller than the sum of its proper divisors (282198943370188).

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

230102400512420 is a wasteful number, since it uses less digits than its factorization.

230102400512420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875514080 (or 875514078 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 230102400512420 its reverse (24215004201032), we get a palindrome (254317404713452).

The spelling of 230102400512420 in words is "two hundred thirty trillion, one hundred two billion, four hundred million, five hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 773 1546 3092 3865 7730 13141 15460 26282 52564 65705 131410 262820 875513281 1751026562 3502053124 4377566405 8755132810 14883725777 17510265620 29767451554 59534903108 74418628885 148837257770 297674515540 676771766213 1353543532426 2707087064852 3383858831065 6767717662130 11505120025621 13535435324260 23010240051242 46020480102484 57525600128105 115051200256210 230102400512420