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10613352312 = 23322275031291
BaseRepresentation
bin10011110001001101…
…01110011101111000
31000101122220011022200
421320212232131320
5133214004233222
64513052550200
7524003002053
oct117046563570
930348804280
1010613352312
114556a62752
122082482360
131001aac734
147297c3a9a
15421b66eac
hex2789ae778

10613352312 has 96 divisors (see below), whose sum is σ = 28950929280. Its totient is φ = 3512473920.

The previous prime is 10613352311. The next prime is 10613352319. The reversal of 10613352312 is 21325331601.

10613352312 is a `hidden beast` number, since 1 + 0 + 6 + 133 + 523 + 1 + 2 = 666.

It is a super-2 number, since 2×106133523122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613352311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8220387 + ... + 8221677.

It is an arithmetic number, because the mean of its divisors is an integer number (301572180).

Almost surely, 210613352312 is an apocalyptic number.

10613352312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10613352312 is an abundant number, since it is smaller than the sum of its proper divisors (18337576968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10613352312 is a wasteful number, since it uses less digits than its factorization.

10613352312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 10613352312 its reverse (21325331601), we get a palindrome (31938683913).

The spelling of 10613352312 in words is "ten billion, six hundred thirteen million, three hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 503 681 908 1006 1291 1362 1509 1816 2012 2043 2582 2724 3018 3873 4024 4086 4527 5164 5448 6036 7746 8172 9054 10328 11619 12072 15492 16344 18108 23238 30984 36216 46476 92952 114181 228362 293057 342543 456724 586114 649373 685086 879171 913448 1027629 1172228 1298746 1370172 1758342 1948119 2055258 2344456 2597492 2637513 2740344 3516684 3896238 4110516 5194984 5275026 5844357 7033368 7792476 8221032 10550052 11688714 15584952 21100104 23377428 46754856 147407671 294815342 442223013 589630684 884446026 1179261368 1326669039 1768892052 2653338078 3537784104 5306676156 10613352312