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10954442130 = 2352467148013
BaseRepresentation
bin10100011001110111…
…11000010110010010
31001021102201022120220
422030323320112102
5134413314122010
65010555413510
7535314136032
oct121473702622
931242638526
1010954442130
114711551565
122158754296
131057666128
1475cc118c2
15441a90970
hex28cef8592

10954442130 has 32 divisors (see below), whose sum is σ = 26301495744. Its totient is φ = 2919980736.

The previous prime is 10954442113. The next prime is 10954442137. The reversal of 10954442130 is 3124445901.

10954442130 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 3×109544421303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10954442091 and 10954442100.

It is not an unprimeable number, because it can be changed into a prime (10954442137) 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, 4 + ... + 148016.

It is an arithmetic number, because the mean of its divisors is an integer number (821921742).

Almost surely, 210954442130 is an apocalyptic number.

10954442130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10954442130 is an abundant number, since it is smaller than the sum of its proper divisors (15347053614).

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

10954442130 is a wasteful number, since it uses less digits than its factorization.

10954442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150490.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10954442130 in words is "ten billion, nine hundred fifty-four million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 2467 4934 7401 12335 14802 24670 37005 74010 148013 296026 444039 740065 888078 1480130 2220195 4440390 365148071 730296142 1095444213 1825740355 2190888426 3651480710 5477221065 10954442130