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42322111122324 = 223111718860120821
BaseRepresentation
bin10011001111101111000100…
…11001100100101110010100
312112211221202200200021200010
421213313202121210232110
521021401140421403244
6230002302012320220
711625446236650555
oct1147674231445624
9175757680607603
1042322111122324
1112537785436670
1248b6385473070
131a7cc5b818867
14a645888d632c
154d5d66636eb9
hex267de2664b94

42322111122324 has 48 divisors (see below), whose sum is σ = 114066010731456. Its totient is φ = 12070477324800.

The previous prime is 42322111122283. The next prime is 42322111122331.

42322111122324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423221111223242 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42322111122291 and 42322111122300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9430058167 + ... + 9430062654.

It is an arithmetic number, because the mean of its divisors is an integer number (2376375223572).

Almost surely, 242322111122324 is an apocalyptic number.

42322111122324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42322111122324 is an abundant number, since it is smaller than the sum of its proper divisors (71743899609132).

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

42322111122324 is a wasteful number, since it uses less digits than its factorization.

42322111122324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18860120856 (or 18860120854 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 4232211 and 1122324, that added together give a palindrome (5354535).

The spelling of 42322111122324 in words is "forty-two trillion, three hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 18860120821 37720241642 56580362463 75440483284 113160724926 207461329031 226321449852 320622053957 414922658062 622383987093 641244107914 829845316124 961866161871 1244767974186 1282488215828 1923732323742 2489535948372 3526842593527 3847464647484 7053685187054 10580527780581 14107370374108 21161055561162 42322111122324