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34123132230 = 23511474335081
BaseRepresentation
bin11111110001111001…
…011010110101000110
310021002002200201111020
4133301321122311012
51024341010212410
623402001052010
72315413560345
oct376171326506
9107062621436
1034123132230
1113520689330
126743927006
1332aa669305
141919c91b5c
15d4aac2a70
hex7f1e5ad46

34123132230 has 128 divisors (see below), whose sum is σ = 91470145536. Its totient is φ = 8075980800.

The previous prime is 34123132217. The next prime is 34123132243. The reversal of 34123132230 is 3223132143.

It is an interprime number because it is at equal distance from previous prime (34123132217) and next prime (34123132243).

It is a self number, because there is not a number n which added to its sum of digits gives 34123132230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6713290 + ... + 6718370.

It is an arithmetic number, because the mean of its divisors is an integer number (714610512).

Almost surely, 234123132230 is an apocalyptic number.

34123132230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45735072768).

34123132230 is an abundant number, since it is smaller than the sum of its proper divisors (57347013306).

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

34123132230 is a wasteful number, since it uses less digits than its factorization.

34123132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34123132230 its reverse (3223132143), we get a palindrome (37346264373).

The spelling of 34123132230 in words is "thirty-four billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 433 470 517 705 866 1034 1299 1410 1551 2165 2585 2598 3102 4330 4763 5081 5170 6495 7755 9526 10162 12990 14289 15243 15510 20351 23815 25405 28578 30486 40702 47630 50810 55891 61053 71445 76215 101755 111782 122106 142890 152430 167673 203510 223861 238807 279455 305265 335346 447722 477614 558910 610530 671583 716421 838365 1119305 1194035 1343166 1432842 1676730 2200073 2238610 2388070 2626877 3357915 3582105 4400146 5253754 6600219 6715830 7164210 7880631 11000365 13134385 13200438 15761262 22000730 24200803 26268770 33001095 39403155 48401606 66002190 72602409 78806310 103403431 121004015 145204818 206806862 242008030 310210293 363012045 517017155 620420586 726024090 1034034310 1137437741 1551051465 2274875482 3102102930 3412313223 5687188705 6824626446 11374377410 17061566115 34123132230