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42202220401 = 11217471133863
BaseRepresentation
bin100111010011011100…
…101100011101110001
311000221010220220222001
4213103130230131301
51142412232023101
631215404014001
73022544645305
oct472334543561
9130833826861
1042202220401
1116997064900
128219531301
133c973b0763
142084c65d05
15116eee1901
hex9d372c771

42202220401 has 48 divisors (see below), whose sum is σ = 50618276352. Its totient is φ = 35018762240.

The previous prime is 42202220399. The next prime is 42202220509. The reversal of 42202220401 is 10402220224.

It is not a de Polignac number, because 42202220401 - 21 = 42202220399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42202220701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10922796 + ... + 10926658.

It is an arithmetic number, because the mean of its divisors is an integer number (1054547424).

Almost surely, 242202220401 is an apocalyptic number.

It is an amenable number.

42202220401 is a deficient number, since it is larger than the sum of its proper divisors (8416055951).

42202220401 is a wasteful number, since it uses less digits than its factorization.

42202220401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 42202220401 its reverse (10402220224), we get a palindrome (52604440625).

The spelling of 42202220401 in words is "forty-two billion, two hundred two million, two hundred twenty thousand, four hundred one".

Divisors: 1 11 17 47 113 121 187 517 799 1243 1921 2057 3863 5311 5687 8789 13673 21131 42493 58421 65671 90287 96679 181561 232441 436519 467423 642631 722381 993157 1997171 3086537 4801709 7420823 7946191 10924727 20516393 21968881 33951907 52818799 81629053 225680323 348778681 373470977 897919583 2482483553 3836565491 42202220401