Search a number
-
+
10333213213323 = 371113191288914051
BaseRepresentation
bin1001011001011110001110…
…0000001100001010001011
31100120211211101200022222110
42112113203200030022023
52323244410040311243
633551002420353403
72114356441050450
oct226274340141213
940524741608873
1010333213213323
113324322522050
1211aa790245863
1359c557c66080
1427a1b7343827
1512dbcd388e33
hex965e380c28b

10333213213323 has 128 divisors (see below), whose sum is σ = 19475127705600. Its totient is φ = 4693500288000.

The previous prime is 10333213213313. The next prime is 10333213213343. The reversal of 10333213213323 is 32331231233301.

It is not a de Polignac number, because 10333213213323 - 210 = 10333213212299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10333213213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 735400648 + ... + 735414698.

It is an arithmetic number, because the mean of its divisors is an integer number (152149435200).

Almost surely, 210333213213323 is an apocalyptic number.

10333213213323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10333213213323 is a deficient number, since it is larger than the sum of its proper divisors (9141914492277).

10333213213323 is a wasteful number, since it uses less digits than its factorization.

10333213213323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26993.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 10333213213323 its reverse (32331231233301), we get a palindrome (42664444446624).

The spelling of 10333213213323 in words is "ten trillion, three hundred thirty-three billion, two hundred thirteen million, two hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 209 231 247 273 399 429 627 741 1001 1463 1729 2717 3003 4389 5187 8151 12889 14051 19019 38667 42153 57057 90223 98357 141779 154561 167557 182663 244891 266969 270669 295071 425337 463683 502671 547989 734673 800907 992453 1081927 1172899 1278641 1714237 1843127 1868783 2009293 2693801 2936659 2977359 3183583 3245781 3470597 3518697 3835923 5142711 5529381 5606349 6027879 8081403 8809977 9550749 10411791 12901889 14065051 18856607 20556613 22285081 24294179 35019413 38176567 38705667 42195153 56569821 61669839 66855243 72882537 105058239 114529701 181103339 245135891 267235969 543310017 735407673 801707907 1267723373 1992136729 2354343407 3440963441 3803170119 5976410187 7063030221 10322890323 13944957103 16480403849 24086744087 25897777477 37850597851 41834871309 44732524733 49441211547 72260232261 77693332431 113551793553 134197574199 181284442339 264954184957 313127673131 492057772063 543853327017 794862554871 939383019393 1476173316189 3444404404441 10333213213323