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10355356311 = 335345721397
BaseRepresentation
bin10011010010011101…
…00011001010010111
3222201200102121100020
421221032203022113
5132201432400221
64431315120223
7514421035116
oct115116431227
928650377306
1010355356311
114434368513
12200bba3073
13c904ca691
14703425c7d
154091a3ac6
hex2693a3297

10355356311 has 16 divisors (see below), whose sum is σ = 13877202144. Its totient is φ = 6868629504.

The previous prime is 10355356303. The next prime is 10355356313. The reversal of 10355356311 is 11365355301.

10355356311 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 10355356311 - 23 = 10355356303 is a prime.

It is a super-3 number, since 3×103553563113 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355356313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 473265 + ... + 494661.

It is an arithmetic number, because the mean of its divisors is an integer number (867325134).

Almost surely, 210355356311 is an apocalyptic number.

10355356311 is a deficient number, since it is larger than the sum of its proper divisors (3521845833).

10355356311 is a wasteful number, since it uses less digits than its factorization.

10355356311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22210.

The product of its (nonzero) digits is 20250, while the sum is 33.

It can be divided in two parts, 1035535 and 6311, that added together give a triangular number (1041846 = T1443).

The spelling of 10355356311 in words is "ten billion, three hundred fifty-five million, three hundred fifty-six thousand, three hundred eleven".

Divisors: 1 3 353 457 1059 1371 21397 64191 161321 483963 7553141 9778429 22659423 29335287 3451785437 10355356311