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87220000100 = 22523723572973
BaseRepresentation
bin101000100111010110…
…1111001010101100100
322100010111211002012002
41101032231321111210
52412111310000400
6104022431144432
76205251524402
oct1211655712544
9270114732162
1087220000100
1133a98464012
1214aa1975118
1382bcba851c
144315a02472
152407292ed5
hex144eb79564

87220000100 has 36 divisors (see below), whose sum is σ = 194382743604. Its totient is φ = 33945079680.

The previous prime is 87220000093. The next prime is 87220000103. The reversal of 87220000100 is 100002278.

It can be written as a sum of positive squares in 6 ways, for example, as 54523456 + 87165476644 = 7384^2 + 295238^2 .

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

It is not an unprimeable number, because it can be changed into a prime (87220000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11782787 + ... + 11790186.

Almost surely, 287220000100 is an apocalyptic number.

It is an amenable number.

87220000100 is an abundant number, since it is smaller than the sum of its proper divisors (107162743504).

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

87220000100 is a wasteful number, since it uses less digits than its factorization.

87220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23573024 (or 23573017 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 87220000100 its reverse (100002278), we get a palindrome (87320002378).

The spelling of 87220000100 in words is "eighty-seven billion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 23572973 47145946 94291892 117864865 235729730 471459460 589324325 872200001 1178648650 1744400002 2357297300 3488800004 4361000005 8722000010 17444000020 21805000025 43610000050 87220000100