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10520312145 = 357734672939
BaseRepresentation
bin10011100110000111…
…10011100101010001
31000011011211020012120
421303003303211101
5133021144442040
64455530444453
7521463114660
oct116303634521
930134736176
1010520312145
114509495252
122057293729
13cb8734a95
1471b2c4dd7
154188d97d0
hex2730f3951

10520312145 has 64 divisors (see below), whose sum is σ = 19549071360. Its totient is φ = 4731637248.

The previous prime is 10520312137. The next prime is 10520312177. The reversal of 10520312145 is 54121302501.

It is a happy number.

10520312145 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 10520312145 - 23 = 10520312137 is a prime.

It is a super-2 number, since 2×105203121452 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3578086 + ... + 3581024.

It is an arithmetic number, because the mean of its divisors is an integer number (305454240).

Almost surely, 210520312145 is an apocalyptic number.

10520312145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10520312145 is a deficient number, since it is larger than the sum of its proper divisors (9028759215).

10520312145 is a wasteful number, since it uses less digits than its factorization.

10520312145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10520312145 its reverse (54121302501), we get a palindrome (64641614646).

The spelling of 10520312145 in words is "ten billion, five hundred twenty million, three hundred twelve thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 73 105 219 365 467 511 1095 1401 1533 2335 2555 2939 3269 7005 7665 8817 9807 14695 16345 20573 34091 44085 49035 61719 102273 102865 170455 214547 238637 308595 511365 643641 715911 1072735 1193185 1372513 1501829 3218205 3579555 4117539 4505487 6862565 7509145 9607591 20587695 22527435 28822773 48037955 100193449 144113865 300580347 500967245 701354143 1502901735 2104062429 3506770715 10520312145