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1010010100 = 2252111019091
BaseRepresentation
bin111100001100111…
…000011111110100
32121101111211101111
4330030320133310
54032030310400
6244120004404
734012641601
oct7414703764
92541454344
101010010100
114791405a0
12242300704
13131333518
14981d56a8
155da0c3ba
hex3c3387f4

1010010100 has 72 divisors (see below), whose sum is σ = 2414907936. Its totient is φ = 363600000.

The previous prime is 1010010091. The next prime is 1010010143. The reversal of 1010010100 is 10100101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1010010100.

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, 106555 + ... + 115645.

It is an arithmetic number, because the mean of its divisors is an integer number (33540388).

Almost surely, 21010010100 is an apocalyptic number.

1010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207453968).

1010010100 is an abundant number, since it is smaller than the sum of its proper divisors (1404897836).

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

1010010100 is a wasteful number, since it uses less digits than its factorization.

1010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1010010100 is about 31780.6560662300. The cubic root of 1010010100 is about 1003.3256279386.

Adding to 1010010100 its reverse (10100101), we get a palindrome (1020110201).

Subtracting from 1010010100 its reverse (10100101), we obtain a palindrome (999909999).

1010010100 divided by its reverse (10100101) gives a square (100 = 102).

The spelling of 1010010100 in words is "one billion, ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 9091 10100 11110 18182 22220 27775 36364 45455 55550 90910 100001 111100 181820 200002 227275 400004 454550 500005 909100 918191 1000010 1836382 2000020 2500025 3672764 4590955 5000050 9181910 10000100 10100101 18363820 20200202 22954775 40400404 45909550 50500505 91819100 101001010 202002020 252502525 505005050 1010010100