Search a number
-
+
10106066070 = 2325233348131
BaseRepresentation
bin10010110100101111…
…00101010010010110
3222002022100100102100
421122113211102112
5131144123103240
64350452022530
7505303100322
oct113227452226
928068310370
1010106066070
11431667a021
121b60601a46
13c50976069
146bc292982
153e235ee30
hex25a5e5496

10106066070 has 48 divisors (see below), whose sum is σ = 26287580592. Its totient is φ = 2693739840.

The previous prime is 10106066057. The next prime is 10106066081. The reversal of 10106066070 is 7066060101.

10106066070 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 2×101060660702 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 185905 + ... + 234035.

It is an arithmetic number, because the mean of its divisors is an integer number (547657929).

Almost surely, 210106066070 is an apocalyptic number.

10106066070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106066070 is an abundant number, since it is smaller than the sum of its proper divisors (16181514522).

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

10106066070 is a wasteful number, since it uses less digits than its factorization.

10106066070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50477 (or 50474 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10106066070 in words is "ten billion, one hundred six million, sixty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2333 4666 6999 11665 13998 20997 23330 34995 41994 48131 69990 96262 104985 144393 209970 240655 288786 433179 481310 721965 866358 1443930 2165895 4331790 112289623 224579246 336868869 561448115 673737738 1010606607 1122896230 1684344345 2021213214 3368688690 5053033035 10106066070