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13226862231 = 3211237463709
BaseRepresentation
bin11000101000110000…
…11110011010010111
31021010210200012221100
430110120132122113
5204042034042411
610024253321143
7645526321362
oct142430363227
937123605840
1013226862231
115678245400
1226917961b3
13132a3a29cb
148d69410d9
15526315456
hex31461e697

13226862231 has 72 divisors (see below), whose sum is σ = 21644866880. Its totient is φ = 7771800960.

The previous prime is 13226862203. The next prime is 13226862239.

13226862231 is a `hidden beast` number, since 1 + 3 + 2 + 26 + 8 + 622 + 3 + 1 = 666.

13226862231 is nontrivially palindromic in base 10.

13226862231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13226862231 - 215 = 13226829463 is a prime.

It is a super-2 number, since 2×132268622312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13226862239) 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 71 ways as a sum of consecutive naturals, for example, 18655305 + ... + 18656013.

Almost surely, 213226862231 is an apocalyptic number.

13226862231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13226862231 is a deficient number, since it is larger than the sum of its proper divisors (8418004649).

13226862231 is a wasteful number, since it uses less digits than its factorization.

13226862231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1223 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13226862231 in words is "thirteen billion, two hundred twenty-six million, eight hundred sixty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 463 709 1089 1221 1389 2127 3663 4167 4477 5093 6381 7799 13431 15279 17131 23397 26233 40293 45837 51393 56023 70191 78699 85789 154179 168069 188441 236097 257367 288563 328267 504207 565323 772101 865689 984801 1695969 2072851 2597067 2954403 3174193 3610937 6218553 9522579 10832811 12145879 18655659 28567737 32498433 36437637 39720307 109312911 119160921 133604669 357482763 400814007 1202442021 1469651359 4408954077 13226862231