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422132240443100 = 2252111013799570121
BaseRepresentation
bin101111111111011010101001…
…0001111010110011011011100
32001100122110002122022000112112
41133332311102033112123130
5420312203312023134400
64053444512445453152
7154626022303460615
oct13776652217263334
92040573078260475
10422132240443100
11112560306846710
123b4180812711b8
1315170b9018c445
1476354491c8c0c
1533c0965860835
hex17fed523d66dc

422132240443100 has 72 divisors (see below), whose sum is σ = 1009196220964176. Its totient is φ = 151982804800000.

The previous prime is 422132240443099. The next prime is 422132240443141. The reversal of 422132240443100 is 1344042231224.

It is a happy number.

It is a super-2 number, since 2×4221322404431002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899673961 + ... + 1899896160.

It is an arithmetic number, because the mean of its divisors is an integer number (14016614180058).

Almost surely, 2422132240443100 is an apocalyptic number.

It is an amenable number.

422132240443100 is an abundant number, since it is smaller than the sum of its proper divisors (587063980521076).

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

422132240443100 is a wasteful number, since it uses less digits than its factorization.

422132240443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799570247 (or 3799570240 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 422132240443100 its reverse (1344042231224), we get a palindrome (423476282674324).

The spelling of 422132240443100 in words is "four hundred twenty-two trillion, one hundred thirty-two billion, two hundred forty million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 3799570121 7599140242 15198280484 18997850605 37995701210 41795271331 75991402420 83590542662 94989253025 167181085324 189978506050 208976356655 379957012100 383756582221 417952713310 767513164442 835905426620 1044881783275 1535026328884 1918782911105 2089763566550 3837565822210 4179527133100 4221322404431 7675131644420 8442644808862 9593914555525 16885289617724 19187829111050 21106612022155 38375658222100 42213224044310 84426448088620 105533060110775 211066120221550 422132240443100