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13202623343 = 7135997101251
BaseRepresentation
bin11000100101111000…
…00000101101101111
31021002010001202102202
430102330000231233
5204014332421333
610022030012115
7645113306150
oct142274005557
937063052382
1013202623343
11566559a368
12268564703b
131325367080
148d3631927
155241285e8
hex312f00b6f

13202623343 has 64 divisors (see below), whose sum is σ = 16927626240. Its totient is φ = 10022400000.

The previous prime is 13202623339. The next prime is 13202623361. The reversal of 13202623343 is 34332620231.

13202623343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13202623343 - 22 = 13202623339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202623303) 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 63 ways as a sum of consecutive naturals, for example, 52599968 + ... + 52600218.

It is an arithmetic number, because the mean of its divisors is an integer number (264494160).

Almost surely, 213202623343 is an apocalyptic number.

13202623343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13202623343 is a deficient number, since it is larger than the sum of its proper divisors (3725002897).

13202623343 is a wasteful number, since it uses less digits than its factorization.

13202623343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 15552, while the sum is 29.

The spelling of 13202623343 in words is "thirteen billion, two hundred two million, six hundred twenty-three thousand, three hundred forty-three".

Divisors: 1 7 13 59 91 97 101 251 413 679 707 767 1261 1313 1757 3263 5369 5723 5959 8827 9191 9797 14809 22841 24347 25351 40061 41713 68579 74399 77467 103663 127361 170429 177457 192517 316511 329563 520793 542269 578023 891527 1347619 1436473 1495709 2215577 2306941 2459047 4046161 7514299 10055311 10469963 17213329 18674149 19444217 31967611 52600093 130719043 136109519 145083773 223773277 1015586411 1886089049 13202623343