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234132210130 = 25721323269481
BaseRepresentation
bin1101101000001101011…
…1100000000111010010
3211101100002001121112011
43122003113200013102
512314000321211010
6255320413453134
722626004643500
oct3320327400722
9741302047464
10234132210130
119032758a925
12394624a11aa
1319103816410
14b491257670
156154c3ba8a
hex36835e01d2

234132210130 has 144 divisors (see below), whose sum is σ = 551915814744. Its totient is φ = 70876270080.

The previous prime is 234132210113. The next prime is 234132210131. The reversal of 234132210130 is 31012231432.

It can be written as a sum of positive squares in 4 ways, for example, as 138676546449 + 95455663681 = 372393^2 + 308959^2 .

It is a super-3 number, since 3×2341322101303 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (234132210131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3334990 + ... + 3404470.

Almost surely, 2234132210130 is an apocalyptic number.

234132210130 is an abundant number, since it is smaller than the sum of its proper divisors (317783604614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234132210130 is a wasteful number, since it uses less digits than its factorization.

234132210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69561 (or 69531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 234132210130 its reverse (31012231432), we get a palindrome (265144441562).

The spelling of 234132210130 in words is "two hundred thirty-four billion, one hundred thirty-two million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 49 65 70 91 98 115 130 161 182 230 245 299 322 455 490 529 598 637 805 910 1058 1127 1274 1495 1610 2093 2254 2645 2990 3185 3703 4186 5290 5635 6370 6877 7406 10465 11270 13754 14651 18515 20930 25921 29302 34385 37030 48139 51842 68770 69481 73255 96278 129605 138962 146510 240695 259210 336973 347405 481390 486367 673946 694810 903253 972734 1598063 1684865 1806506 2431835 3196126 3369730 3404569 4516265 4863670 6322771 6809138 7990315 9032530 11186441 12645542 15980630 17022845 20774819 22372882 31613855 34045690 36755449 41549638 44259397 55932205 63227710 73510898 78305087 88518794 103874095 111864410 145423733 156610174 183777245 207748190 221296985 257288143 290847466 367554490 391525435 442593970 477820837 514576286 727118665 783050870 955641674 1017966131 1286440715 1454237330 1801017001 2035932262 2389104185 2572881430 3344745859 3602034002 4778208370 5089830655 6689491718 9005085005 10179661310 16723729295 18010170010 23413221013 33447458590 46826442026 117066105065 234132210130