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230003242030401 = 37179643106989017
BaseRepresentation
bin110100010010111111001101…
…100010011101010101000001
31010011101002120101210000200120
4310102333031202131111001
5220121333114424433101
62133102010344410453
766306120515556510
oct6422771542352501
91104332511700616
10230003242030401
1167316910a54874
1221968204476a29
139b4529c2946c8
1440b23057ba677
151b8cda37b9b36
hexd12fcd89d541

230003242030401 has 64 divisors (see below), whose sum is σ = 353321415014400. Its totient is φ = 130369381203456.

The previous prime is 230003242030379. The next prime is 230003242030433. The reversal of 230003242030401 is 104030242300032.

230003242030401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-230003242030401 is a prime.

It is a super-2 number, since 2×2300032420304012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230003242035401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2583768045 + ... + 2583857061.

It is an arithmetic number, because the mean of its divisors is an integer number (5520647109600).

Almost surely, 2230003242030401 is an apocalyptic number.

230003242030401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230003242030401 is a deficient number, since it is larger than the sum of its proper divisors (123318172983999).

230003242030401 is a wasteful number, since it uses less digits than its factorization.

230003242030401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90918.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230003242030401 its reverse (104030242300032), we get a palindrome (334033484330433).

The spelling of 230003242030401 in words is "two hundred thirty trillion, three billion, two hundred forty-two million, thirty thousand, four hundred one".

Divisors: 1 3 7 21 179 537 643 1069 1253 1929 3207 3759 4501 7483 13503 22449 89017 115097 191351 267051 345291 574053 623119 687367 805679 1339457 1869357 2062101 2417037 4018371 4811569 14434707 15934043 47802129 57237931 95159173 111538301 123038693 171713793 285477519 334614903 369116079 400665517 666114211 861270851 1201996551 1998342633 2583812553 10245589649 17033491967 30736768947 51100475901 61187348239 71719127543 119234443769 183562044717 215157382629 357703331307 428311437673 1284934313019 10952535334781 32857606004343 76667747343467 230003242030401