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442133220231100 = 22527977372401333
BaseRepresentation
bin110010010000111100010100…
…1100010010000011110111100
32010222110112010022101220122201
41210201320221202100132330
5430422402313334343400
64204201110344121244
7162062033235542356
oct14441705142203674
92128415108356581
10442133220231100
111189717114819a2
1241708468a66224
1315c91ca3454598
147b2750d6120d6
15361ad7673406a
hex1921e298907bc

442133220231100 has 72 divisors (see below), whose sum is σ = 972830660477760. Its totient is φ = 174388744308480.

The previous prime is 442133220231067. The next prime is 442133220231127. The reversal of 442133220231100 is 1132022331244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30093967 + ... + 42307366.

It is an arithmetic number, because the mean of its divisors is an integer number (13511536951080).

Almost surely, 2442133220231100 is an apocalyptic number.

It is an amenable number.

442133220231100 is an abundant number, since it is smaller than the sum of its proper divisors (530697440246660).

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

442133220231100 is a wasteful number, since it uses less digits than its factorization.

442133220231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72402199 (or 72402192 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 442133220231100 its reverse (1132022331244), we get a palindrome (443265242562344).

The spelling of 442133220231100 in words is "four hundred forty-two trillion, one hundred thirty-three billion, two hundred twenty million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 773 790 1546 1580 1975 3092 3865 3950 7730 7900 15460 19325 38650 61067 77300 122134 244268 305335 610670 1221340 1526675 3053350 6106700 72401333 144802666 289605332 362006665 724013330 1448026660 1810033325 3620066650 5719705307 7240133300 11439410614 22878821228 28598526535 55966230409 57197053070 111932460818 114394106140 142992632675 223864921636 279831152045 285985265350 559662304090 571970530700 1119324608180 1399155760225 2798311520450 4421332202311 5596623040900 8842664404622 17685328809244 22106661011555 44213322023110 88426644046220 110533305057775 221066610115550 442133220231100