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442100022501130 = 25779709112758469
BaseRepresentation
bin110010010000101100110111…
…0110010111101111100001010
32010222100100102201000111102021
41210201121232302331330022
5430421331321230014010
64204133540241355054
7162056446456516540
oct14441315662757412
92128310381014367
10442100022501130
111189596261a6024
1241701b43038a8a
1315c8bb12736c96
147b25a8060dd90
15361a0820098da
hex192166ecbdf0a

442100022501130 has 64 divisors (see below), whose sum is σ = 922274077824000. Its totient is φ = 149447367283968.

The previous prime is 442100022501077. The next prime is 442100022501139. The reversal of 442100022501130 is 31105220001244.

It is a junction number, because it is equal to n+sod(n) for n = 442100022501095 and 442100022501104.

It is not an unprimeable number, because it can be changed into a prime (442100022501139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52458465 + ... + 60300004.

It is an arithmetic number, because the mean of its divisors is an integer number (14410532466000).

Almost surely, 2442100022501130 is an apocalyptic number.

442100022501130 is an abundant number, since it is smaller than the sum of its proper divisors (480174055322870).

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

442100022501130 is a wasteful number, since it uses less digits than its factorization.

442100022501130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112759271.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 442100022501130 its reverse (31105220001244), we get a palindrome (473205242502374).

The spelling of 442100022501130 in words is "four hundred forty-two trillion, one hundred billion, twenty-two million, five hundred one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 79 158 395 553 709 790 1106 1418 2765 3545 4963 5530 7090 9926 24815 49630 56011 112022 280055 392077 560110 784154 1960385 3920770 112758469 225516938 563792345 789309283 1127584690 1578618566 3946546415 7893092830 8907919051 17815838102 44539595255 62355433357 79945754521 89079190510 124710866714 159891509042 311777166785 399728772605 559620281647 623554333570 799457545210 1119240563294 2798101408235 5596202816470 6315714607159 12631429214318 31578573035795 44210002250113 63157146071590 88420004500226 221050011250565 442100022501130