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230321354455311 = 374759139148119213
BaseRepresentation
bin110100010111100111011110…
…100001000011100100001111
31010012111111200012102120102220
4310113213132201003210033
5220142041113220032221
62133504100341550423
766341111605555530
oct6427473641034417
91105444605376386
10230321354455311
1167429813140a79
12219b99a3715413
139b692976c78b2
1440c3882252687
151b962c113d0c6
hexd179de84390f

230321354455311 has 128 divisors (see below), whose sum is σ = 367397749555200. Its totient is φ = 125626265902080.

The previous prime is 230321354455273. The next prime is 230321354455321. The reversal of 230321354455311 is 113554453123032.

It is not a de Polignac number, because 230321354455311 - 29 = 230321354454799 is a prime.

It is a super-2 number, since 2×2303213544553112 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230321354455321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11987777541 + ... + 11987796753.

It is an arithmetic number, because the mean of its divisors is an integer number (2870294918400).

Almost surely, 2230321354455311 is an apocalyptic number.

230321354455311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230321354455311 is a deficient number, since it is larger than the sum of its proper divisors (137076395099889).

230321354455311 is a wasteful number, since it uses less digits than its factorization.

230321354455311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20949.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 230321354455311 in words is "two hundred thirty trillion, three hundred twenty-one billion, three hundred fifty-four million, four hundred fifty-five thousand, three hundred eleven".

Divisors: 1 3 7 21 47 59 139 141 177 329 413 417 973 987 1239 1481 2773 2919 4443 6533 8201 8319 10367 19213 19411 19599 24603 31101 45731 57407 57639 58233 69607 87379 134491 137193 172221 205859 208821 262137 385447 403473 487249 611653 617577 903011 1133567 1156341 1441013 1461747 1834959 2670607 2698129 2709033 3400701 4106813 4323039 6321077 7934969 8011821 8094387 9675373 12145681 12320439 18694249 18963231 23804907 28454453 28747691 29026119 36437043 53277649 56082747 67727611 85019767 85363359 86243073 125518529 157565813 159832947 199181171 203182833 255059301 372943543 376555587 472697439 570847007 597543513 878629703 1102960691 1118830629 1337359291 1678812727 1712541021 2635889109 3308882073 3955168967 3995929049 4012077873 5036438181 7405593211 9361515037 11751689089 11865506901 11987787147 22216779633 27686182769 28084545111 35255067267 51839152477 78904198169 83058548307 155517457431 185892941449 233354969053 236712594507 552329387183 557678824347 700064907159 1301250590143 1633484783371 1656988161549 3903751770429 4900454350113 10967683545491 32903050636473 76773784818437 230321354455311