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10106773410 = 235615522827
BaseRepresentation
bin10010110100110100…
…10001111110100010
3222002100200021201010
421122122101332202
5131144313222120
64350515121350
7505312104456
oct113232217642
928070607633
1010106773410
1143170124a8
121b608a3256
13c50b62cc6
146bc3d8666
153e244e7e0
hex25a691fa2

10106773410 has 32 divisors (see below), whose sum is σ = 24653904192. Its totient is φ = 2650956480.

The previous prime is 10106773403. The next prime is 10106773447. The reversal of 10106773410 is 1437760101.

10106773410 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-2 number, since 2×101067734102 (a number of 21 digits) contains 22 as substring.

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

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, 2759584 + ... + 2763243.

It is an arithmetic number, because the mean of its divisors is an integer number (770434506).

Almost surely, 210106773410 is an apocalyptic number.

10106773410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106773410 is an abundant number, since it is smaller than the sum of its proper divisors (14547130782).

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

10106773410 is a wasteful number, since it uses less digits than its factorization.

10106773410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522898.

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 10106773410 in words is "ten billion, one hundred six million, seven hundred seventy-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 5522827 11045654 16568481 27614135 33136962 55228270 82842405 165684810 336892447 673784894 1010677341 1684462235 2021354682 3368924470 5053386705 10106773410