Search a number
-
+
13413342030 = 23511192398951
BaseRepresentation
bin11000111110111111…
…10101101101001110
31021121210120101010120
430133133311231032
5204432303421110
610054554245410
7653252345304
oct143737655516
937553511116
1013413342030
115763533440
122724126866
131359c0509a
14913604274
1553789d870
hex31f7f5b4e

13413342030 has 128 divisors (see below), whose sum is σ = 37125734400. Its totient is φ = 3067344000.

The previous prime is 13413342029. The next prime is 13413342031. The reversal of 13413342030 is 3024331431.

13413342030 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13413342029) and next prime (13413342031).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413342031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1494055 + ... + 1503005.

It is an arithmetic number, because the mean of its divisors is an integer number (290044800).

Almost surely, 213413342030 is an apocalyptic number.

13413342030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413342030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562867200).

13413342030 is an abundant number, since it is smaller than the sum of its proper divisors (23712392370).

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

13413342030 is a wasteful number, since it uses less digits than its factorization.

13413342030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230.

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

Adding to 13413342030 its reverse (3024331431), we get a palindrome (16437673461).

The spelling of 13413342030 in words is "thirteen billion, four hundred thirteen million, three hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 239 285 330 418 478 570 627 717 1045 1195 1254 1434 2090 2390 2629 3135 3585 4541 5258 6270 7170 7887 8951 9082 13145 13623 15774 17902 22705 26290 26853 27246 39435 44755 45410 49951 53706 68115 78870 89510 98461 99902 134265 136230 149853 170069 196922 249755 268530 295383 299706 340138 492305 499510 510207 590766 749265 850345 984610 1020414 1476915 1498530 1700690 1870759 2139289 2551035 2953830 3741518 4278578 5102070 5612277 6417867 9353795 10696445 11224554 12835734 18707590 21392890 23532179 28061385 32089335 40646491 47064358 56122770 64178670 70596537 81292982 117660895 121939473 141193074 203232455 235321790 243878946 352982685 406464910 447111401 609697365 705965370 894222802 1219394730 1341334203 2235557005 2682668406 4471114010 6706671015 13413342030