Search a number
-
+
230761173357 = 321113179301611
BaseRepresentation
bin1101011011101001110…
…0000001000101101101
3211001122010212012102100
43112322130001011231
512240044330021412
6254002112445313
722446322416111
oct3267234010555
9731563765370
10230761173357
1189957737020
1238881549839
13189b72c16c0
14b251669741
156008d05edc
hex35ba70116d

230761173357 has 24 divisors (see below), whose sum is σ = 391594720608. Its totient is φ = 129097159200.

The previous prime is 230761173329. The next prime is 230761173361. The reversal of 230761173357 is 753371167032.

230761173357 is a `hidden beast` number, since 2 + 307 + 6 + 1 + 1 + 7 + 335 + 7 = 666.

230761173357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230761173357 - 210 = 230761172333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230761173317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89649519 + ... + 89652092.

It is an arithmetic number, because the mean of its divisors is an integer number (16316446692).

Almost surely, 2230761173357 is an apocalyptic number.

It is an amenable number.

230761173357 is a deficient number, since it is larger than the sum of its proper divisors (160833547251).

230761173357 is a wasteful number, since it uses less digits than its factorization.

230761173357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179301641 (or 179301638 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 230761173357 in words is "two hundred thirty billion, seven hundred sixty-one million, one hundred seventy-three thousand, three hundred fifty-seven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 179301611 537904833 1613714499 1972317721 2330920943 5916953163 6992762829 17750859489 20978288487 25640130373 76920391119 230761173357