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13006331553243 = 3722345714334241
BaseRepresentation
bin1011110101000100010111…
…0001011010010111011011
31201001101121121102202111110
42331101011301122113123
53201043431334200433
643355005355431403
72511451010044320
oct275210561322733
951041547382443
1013006331553243
114164a550a6426
12156086a155563
1373465164bc22
1432d71cc9cb47
151784d0462963
hexbd445c5a5db

13006331553243 has 64 divisors (see below), whose sum is σ = 19970240274432. Its totient is φ = 7375779717120.

The previous prime is 13006331553209. The next prime is 13006331553289. The reversal of 13006331553243 is 34235513360031.

It is not a de Polignac number, because 13006331553243 - 210 = 13006331552219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13006331553143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3066805603 + ... + 3066809843.

It is an arithmetic number, because the mean of its divisors is an integer number (312035004288).

Almost surely, 213006331553243 is an apocalyptic number.

13006331553243 is a deficient number, since it is larger than the sum of its proper divisors (6963908721189).

13006331553243 is a wasteful number, since it uses less digits than its factorization.

13006331553243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364.

The product of its (nonzero) digits is 291600, while the sum is 39.

The spelling of 13006331553243 in words is "thirteen trillion, six billion, three hundred thirty-one million, five hundred fifty-three thousand, two hundred forty-three".

Divisors: 1 3 7 21 223 457 669 1371 1433 1561 3199 4241 4299 4683 9597 10031 12723 29687 30093 89061 101911 305733 319559 654881 713377 945743 958677 1938137 1964643 2140131 2236913 2837229 4584167 5814411 6077353 6620201 6710739 13566959 13752501 18232059 19860603 40700877 42541471 127624413 146038463 432204551 438115389 1022269241 1296613653 1355249719 2777350321 3025431857 3066807723 4065749157 8332050963 9076295571 9486748033 19441452247 28460244099 58324356741 619349121583 1858047364749 4335443851081 13006331553243