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1010055006 = 232151371617
BaseRepresentation
bin111100001101000…
…011011101011110
32121101121002222200
4330031003131132
54032033230011
6244120552330
734013216532
oct7415033536
92541532880
101010055006
11479171304
122423226a6
1313134aaac
1498207bc2
155da1a856
hex3c34375e

1010055006 has 24 divisors (see below), whose sum is σ = 2202951504. Its totient is φ = 334454400.

The previous prime is 1010055001. The next prime is 1010055031. The reversal of 1010055006 is 6005500101.

1010055006 is a `hidden beast` number, since 10 + 100 + 550 + 0 + 6 = 666.

It is a super-2 number, since 2×10100550062 = 2040422230291320072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010055006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010055001) 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 11 ways as a sum of consecutive naturals, for example, 183091 + ... + 188526.

It is an arithmetic number, because the mean of its divisors is an integer number (91789646).

Almost surely, 21010055006 is an apocalyptic number.

1010055006 is an abundant number, since it is smaller than the sum of its proper divisors (1192896498).

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

1010055006 is a wasteful number, since it uses less digits than its factorization.

1010055006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371776 (or 371773 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1010055006 is about 31781.3625573228. The cubic root of 1010055006 is about 1003.3404973189.

Adding to 1010055006 its reverse (6005500101), we get a palindrome (7015555107).

The spelling of 1010055006 in words is "one billion, ten million, fifty-five thousand, six".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2718 371617 743234 1114851 2229702 3344553 6689106 56114167 112228334 168342501 336685002 505027503 1010055006