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1066500100 = 225217627353
BaseRepresentation
bin111111100100011…
…000000000000100
32202022210211002201
4333210120000010
54141011000400
6253454444244
735300046511
oct7744300004
92668724081
101066500100
114a8014346
12259203684
1313cc51963
14a18dc308
156396a06a
hex3f918004

1066500100 has 36 divisors (see below), whose sum is σ = 2450444724. Its totient is φ = 401505280.

The previous prime is 1066500091. The next prime is 1066500101. The reversal of 1066500100 is 10056601.

It can be written as a sum of positive squares in 6 ways, for example, as 3218436 + 1063281664 = 1794^2 + 32608^2 .

It is a super-2 number, since 2×10665001002 = 2274844926600020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066500101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311977 + ... + 315376.

It is an arithmetic number, because the mean of its divisors is an integer number (68067909).

Almost surely, 21066500100 is an apocalyptic number.

1066500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066500100 is an abundant number, since it is smaller than the sum of its proper divisors (1383944624).

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

1066500100 is a wasteful number, since it uses less digits than its factorization.

1066500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627384 (or 627377 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1066500100 is about 32657.3131166665. The cubic root of 1066500100 is about 1021.6927230862.

Adding to 1066500100 its reverse (10056601), we get a palindrome (1076556701).

The spelling of 1066500100 in words is "one billion, sixty-six million, five hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 627353 1254706 2509412 3136765 6273530 10665001 12547060 15683825 21330002 31367650 42660004 53325005 62735300 106650010 213300020 266625025 533250050 1066500100