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160001056100 = 225215569102769
BaseRepresentation
bin1001010100000011001…
…1100101110101100100
3120021222202012210200202
42111000303211311210
510110140232243400
6201300425530032
714362655352134
oct2250063456544
9507882183622
10160001056100
1161946474676
1227014043918
131211b549532
147a5bb0aac4
154266aea4d5
hex2540ce5d64

160001056100 has 36 divisors (see below), whose sum is σ = 347227971300. Its totient is φ = 63995688960.

The previous prime is 160001056091. The next prime is 160001056129. The reversal of 160001056100 is 1650100061.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4752447844 + 155248608256 = 68938^2 + 394016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1505516 + ... + 1608284.

It is an arithmetic number, because the mean of its divisors is an integer number (9645221425).

Almost surely, 2160001056100 is an apocalyptic number.

160001056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

160001056100 is an abundant number, since it is smaller than the sum of its proper divisors (187226915200).

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

160001056100 is a wasteful number, since it uses less digits than its factorization.

160001056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118352 (or 118345 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 160001056100 its reverse (1650100061), we get a palindrome (161651156161).

The spelling of 160001056100 in words is "one hundred sixty billion, one million, fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15569 31138 62276 77845 102769 155690 205538 311380 389225 411076 513845 778450 1027690 1556900 2055380 2569225 5138450 10276900 1600010561 3200021122 6400042244 8000052805 16000105610 32000211220 40000264025 80000528050 160001056100