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230413123332305 = 51517391915721557
BaseRepresentation
bin110100011000111100111100…
…010111100010100011010001
31010012211021112201202112121222
4310120330330113202203101
5220200042034033113210
62134014154431254425
766350540664263054
oct6430747427424321
91105737481675558
10230413123332305
1167464725299581
1221a1373497a415
139b74b30b30a44
1440c80aa044a9b
151b98892926655
hexd18f3c5e28d1

230413123332305 has 32 divisors (see below), whose sum is σ = 278730949720320. Its totient is φ = 182843958700800.

The previous prime is 230413123332233. The next prime is 230413123332319. The reversal of 230413123332305 is 503233321314032.

It is a happy number.

230413123332305 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-230413123332305 is a prime.

It is a super-2 number, since 2×2304131233323052 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10688541587 + ... + 10688563143.

It is an arithmetic number, because the mean of its divisors is an integer number (8710342178760).

Almost surely, 2230413123332305 is an apocalyptic number.

It is an amenable number.

230413123332305 is a deficient number, since it is larger than the sum of its proper divisors (48317826388015).

230413123332305 is a wasteful number, since it uses less digits than its factorization.

230413123332305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41609.

The product of its (nonzero) digits is 116640, while the sum is 35.

Adding to 230413123332305 its reverse (503233321314032), we get a palindrome (733646444646337).

The spelling of 230413123332305 in words is "two hundred thirty trillion, four hundred thirteen billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred five".

Divisors: 1 5 151 739 755 3695 19157 21557 95785 107785 111589 557945 2892707 3255107 14157023 14463535 15930623 16275535 70785115 79653115 412967449 2064837245 2137710473 2405524073 10688552365 12027620365 62358084799 305182944811 311790423995 1525914724055 46082624666461 230413123332305