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232114102030233 = 324153163166943627
BaseRepresentation
bin110100110001101101000110…
…100110010100111110011001
31010102211220001212021101000100
4310301231012212110332121
5220410424140104431413
62141355425120130013
766614455554535263
oct6461550646247631
91112756055241010
10232114102030233
1167a60046437325
1222049327166909
139c6935c2556c7
14414654d756b33
151bc7c49119a73
hexd31b46994f99

232114102030233 has 96 divisors (see below), whose sum is σ = 352299499493760. Its totient is φ = 147119771335680.

The previous prime is 232114102030231. The next prime is 232114102030267. The reversal of 232114102030233 is 332030201411232.

232114102030233 is a `hidden beast` number, since 2 + 3 + 2 + 11 + 410 + 2 + 0 + 3 + 0 + 233 = 666.

It is not a de Polignac number, because 232114102030233 - 21 = 232114102030231 is a prime.

It is a super-2 number, since 2×2321141020302332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232114102030197 and 232114102030206.

It is not an unprimeable number, because it can be changed into a prime (232114102030231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5320401366 + ... + 5320444992.

It is an arithmetic number, because the mean of its divisors is an integer number (3669786453060).

Almost surely, 2232114102030233 is an apocalyptic number.

It is an amenable number.

232114102030233 is a deficient number, since it is larger than the sum of its proper divisors (120185397463527).

232114102030233 is a wasteful number, since it uses less digits than its factorization.

232114102030233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45559 (or 45556 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232114102030233 its reverse (332030201411232), we get a palindrome (564144303441465).

The spelling of 232114102030233 in words is "two hundred thirty-two trillion, one hundred fourteen billion, one hundred two million, thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 41 53 123 159 163 369 477 489 1467 1669 2173 5007 6519 6683 8639 15021 19557 20049 25917 43627 60147 68429 77751 88457 130881 205287 265371 272047 354199 392643 615861 796113 816141 1062597 1788707 2312231 2448423 3187791 3626737 5366121 6936693 7111201 10880211 11153927 14418491 16098363 20810079 21333603 32640633 33461781 43255473 64000809 72813463 94801471 100385343 129766419 218440389 284404413 291559241 376893653 591158131 655321167 853213239 874677723 1130680959 1773474393 2624033169 2985351983 3392042877 3859113539 5320423179 8956055949 11577340617 11868594469 15452639773 26868167847 34732021851 35605783407 46357919319 106817350221 139073757957 158223655099 474670965297 486612373229 629035506857 1424012895891 1459837119687 1887106520571 4379511359061 5661319561713 25790455781137 77371367343411 232114102030233