Search a number
-
+
10355356110 = 2351131379867
BaseRepresentation
bin10011010010011101…
…00011000111001110
3222201200102121001210
421221032203013032
5132201432343420
64431315115250
7514421034411
oct115116430716
928650377053
1010355356110
114434368350
12200bba2b26
13c904ca568
14703425b78
154091a39e0
hex2693a31ce

10355356110 has 32 divisors (see below), whose sum is σ = 27112205952. Its totient is φ = 2510389280.

The previous prime is 10355356097. The next prime is 10355356129. The reversal of 10355356110 is 1165355301.

10355356110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103553561103 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15689604 + ... + 15690263.

It is an arithmetic number, because the mean of its divisors is an integer number (847256436).

Almost surely, 210355356110 is an apocalyptic number.

10355356110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10355356110 is an abundant number, since it is smaller than the sum of its proper divisors (16756849842).

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

10355356110 is a wasteful number, since it uses less digits than its factorization.

10355356110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31379888.

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 10355356110 in words is "ten billion, three hundred fifty-five million, three hundred fifty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 31379867 62759734 94139601 156899335 188279202 313798670 345178537 470698005 690357074 941396010 1035535611 1725892685 2071071222 3451785370 5177678055 10355356110