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1010055105 = 325191378623
BaseRepresentation
bin111100001101000…
…011011111000001
32121101121010010100
4330031003133001
54032033230410
6244120553013
734013220033
oct7415033701
92541533110
101010055105
11479171394
12242322769
1313134ab57
1498207c53
155da1a8c0
hex3c3437c1

1010055105 has 48 divisors (see below), whose sum is σ = 1856574720. Its totient is φ = 506559744.

The previous prime is 1010055103. The next prime is 1010055127. The reversal of 1010055105 is 5015500101.

1010055105 is a `hidden beast` number, since 10 + 100 + 551 + 0 + 5 = 666.

1010055105 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010055105 - 21 = 1010055103 is a prime.

It is a super-2 number, since 2×10100551052 = 2040422630273122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010055103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112824 + ... + 121446.

It is an arithmetic number, because the mean of its divisors is an integer number (38678640).

Almost surely, 21010055105 is an apocalyptic number.

1010055105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010055105 is a deficient number, since it is larger than the sum of its proper divisors (846519615).

1010055105 is a wasteful number, since it uses less digits than its factorization.

1010055105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 1010055105 is about 31781.3641148394. The cubic root of 1010055105 is about 1003.3405300995.

Adding to 1010055105 its reverse (5015500101), we get a palindrome (6025555206).

The spelling of 1010055105 in words is "one billion, ten million, fifty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 137 171 285 411 685 855 1233 2055 2603 6165 7809 8623 13015 23427 25869 39045 43115 77607 117135 129345 163837 388035 491511 819185 1181351 1474533 2457555 3544053 5906755 7372665 10632159 17720265 22445669 53160795 67337007 112228345 202011021 336685035 1010055105