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13321233212331 = 3113743347731191
BaseRepresentation
bin1100000111011001011101…
…0111111010001110101011
31202011111102122110111120010
43001312113113322032223
53221223341200243311
644155405015103003
72543266402014132
oct301662727721653
952144378414503
1013321233212331
114276559956760
1215b18b2071a63
13758257814295
14340a73146919
151817b0eacda6
hexc1d975fa3ab

13321233212331 has 64 divisors (see below), whose sum is σ = 20421525712896. Its totient is φ = 7650470217600.

The previous prime is 13321233212327. The next prime is 13321233212387.

13321233212331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13321233212331 - 22 = 13321233212327 is a prime.

It is a super-2 number, since 2×133212332123312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13321233212321) 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, 17852946 + ... + 18584136.

It is an arithmetic number, because the mean of its divisors is an integer number (319086339264).

Almost surely, 213321233212331 is an apocalyptic number.

13321233212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13321233212331 is a deficient number, since it is larger than the sum of its proper divisors (7100292500565).

13321233212331 is a wasteful number, since it uses less digits than its factorization.

13321233212331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731632.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 1332123 and 3212331, that added together give a palindrome (4544454).

The spelling of 13321233212331 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thirty-three million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 11 33 37 43 111 129 347 407 473 1041 1221 1419 1591 3817 4773 11451 12839 14921 17501 38517 44763 52503 141229 164131 423687 492393 552077 731191 1656231 2193573 6072847 8043101 18218541 24129303 27054067 31441213 81162201 94323639 253723277 297594737 345853343 761169831 892784211 1037560029 1163324881 2790956047 3489974643 8372868141 9387761249 10910100911 12796573691 28163283747 32730302733 38389721073 103265373739 120011110021 309796121217 360033330063 403673733707 1211021201121 4440411070777 13321233212331