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100221032080 = 2451396366377
BaseRepresentation
bin101110101010110100…
…0111001011010010000
3100120200120112221021001
41131111220321122100
53120223041011310
6114012500311344
710145366500621
oct1352550713220
9316616487231
10100221032080
113955a183844
121750b9a2554
1395b254bb60
144bca559a48
15291884a93a
hex1755a39690

100221032080 has 40 divisors (see below), whose sum is σ = 250938048312. Its totient is φ = 37004688384.

The previous prime is 100221032077. The next prime is 100221032081. The reversal of 100221032080 is 80230122001.

It can be written as a sum of positive squares in 4 ways, for example, as 2104240384 + 98116791696 = 45872^2 + 313236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100221032081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48182149 + ... + 48184228.

Almost surely, 2100221032080 is an apocalyptic number.

100221032080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221032080 is an abundant number, since it is smaller than the sum of its proper divisors (150717016232).

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

100221032080 is a wasteful number, since it uses less digits than its factorization.

100221032080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96366403 (or 96366397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100221032080 its reverse (80230122001), we get a palindrome (180451154081).

The spelling of 100221032080 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 96366377 192732754 385465508 481831885 770931016 963663770 1252762901 1541862032 1927327540 2505525802 3854655080 5011051604 6263814505 7709310160 10022103208 12527629010 20044206416 25055258020 50110516040 100221032080