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13123001236264 = 231726538692249
BaseRepresentation
bin1011111011110110111111…
…0100111011101100101000
31201110112202112000201221121
42332331233310323230220
53210001401304030024
643524342403545024
72523051130015633
oct276755764735450
951415675021847
1013123001236264
1141aa48509a067
12157b3aa68b174
1374265589a91a
14335229bb6c1a
1517b55cd778e4
hexbef6fd3bb28

13123001236264 has 48 divisors (see below), whose sum is σ = 26178188557500. Its totient is φ = 6166072117248.

The previous prime is 13123001236237. The next prime is 13123001236273. The reversal of 13123001236264 is 46263210032131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8222223623364 + 4900777612900 = 2867442^2 + 2213770^2 .

It is a super-2 number, since 2×131230012362642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2836389 + ... + 5855860.

Almost surely, 213123001236264 is an apocalyptic number.

It is an amenable number.

13123001236264 is a deficient number, since it is larger than the sum of its proper divisors (13055187321236).

13123001236264 is a wasteful number, since it uses less digits than its factorization.

13123001236264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692942 (or 8692921 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 13123001236264 its reverse (46263210032131), we get a palindrome (59386211268395).

The spelling of 13123001236264 in words is "thirteen trillion, one hundred twenty-three billion, one million, two hundred thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 17 34 68 136 289 578 653 1156 1306 2312 2612 5224 11101 22202 44404 88808 188717 377434 754868 1509736 8692249 17384498 34768996 69537992 147768233 295536466 591072932 1182145864 2512059961 5024119922 5676038597 10048239844 11352077194 20096479688 22704154388 45408308776 96492656149 192985312298 385970624596 771941249192 1640375154533 3280750309066 6561500618132 13123001236264