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213112454311523 = 13295397109956239
BaseRepresentation
bin110000011101001100011100…
…001000101110111001100011
31000221120100111100202111200202
4300131030130020232321203
5210413113301300432043
62033130302052135415
762613603200055644
oct6035143410567143
91027510440674622
10213112454311523
11619a45366a0788
121ba9a75590756b
1391bb558a67820
143a8a9aab896cb
1519988260221b8
hexc1d31c22ee63

213112454311523 has 32 divisors (see below), whose sum is σ = 244393137273600. Its totient is φ = 184430917472256.

The previous prime is 213112454311513. The next prime is 213112454311531. The reversal of 213112454311523 is 325113454211312.

It is not a de Polignac number, because 213112454311523 - 212 = 213112454307427 is a prime.

It is a super-2 number, since 2×2131124543115232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213112454311513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53039963 + ... + 56916276.

It is an arithmetic number, because the mean of its divisors is an integer number (7637285539800).

Almost surely, 2213112454311523 is an apocalyptic number.

213112454311523 is a deficient number, since it is larger than the sum of its proper divisors (31280682962077).

213112454311523 is a wasteful number, since it uses less digits than its factorization.

213112454311523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109956431.

The product of its digits is 86400, while the sum is 38.

The spelling of 213112454311523 in words is "two hundred thirteen trillion, one hundred twelve billion, four hundred fifty-four million, three hundred eleven thousand, five hundred twenty-three".

Divisors: 1 13 29 53 97 377 689 1261 1537 2813 5141 19981 36569 66833 149089 1938157 109956239 1429431107 3188730931 5827680667 10665755183 41453502103 75759848671 138654817379 169002739343 309306900307 565285024699 2197035611459 4020989703991 7348705321087 16393265716271 213112454311523