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1005422022514 = 272134173263677
BaseRepresentation
bin11101010000101111101…
…00101000111101110010
310120010011120220201002201
432220113310220331302
5112433101014210024
62045515015133414
7132432203116600
oct16502764507562
93503146821081
101005422022514
1135844057a738
12142a3597426a
1373a706a98a0
143693c5a2870
151b247781744
hexea17d28f72

1005422022514 has 96 divisors (see below), whose sum is σ = 1961909870256. Its totient is φ = 382730987520.

The previous prime is 1005422022499. The next prime is 1005422022581. The reversal of 1005422022514 is 4152202245001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15645756889 + 989776265625 = 125083^2 + 994875^2 .

It is a super-2 number, since 2×10054220225142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3681244 + ... + 3944920.

Almost surely, 21005422022514 is an apocalyptic number.

1005422022514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005422022514 is a deficient number, since it is larger than the sum of its proper divisors (956487847742).

1005422022514 is a wasteful number, since it uses less digits than its factorization.

1005422022514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263820 (or 263813 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 1005422022514 its reverse (4152202245001), we get a palindrome (5157624267515).

The spelling of 1005422022514 in words is "one trillion, five billion, four hundred twenty-two million, twenty-two thousand, five hundred fourteen".

Divisors: 1 2 7 13 14 26 41 49 73 82 91 98 146 182 287 511 533 574 637 949 1022 1066 1274 1898 2009 2993 3577 3731 4018 5986 6643 7154 7462 13286 20951 26117 38909 41902 46501 52234 77818 93002 146657 263677 272363 293314 527354 544726 1845739 1906541 3427801 3691478 3813082 6855602 10810757 12920173 19248421 21621514 23994607 25840346 38496842 47989214 75675299 134738947 140539841 151350598 167962249 250229473 269477894 281079682 335924498 500458946 529727093 789185261 943172629 983778887 1059454186 1578370522 1751606311 1886345258 1967557774 3503212622 5524296827 6886452209 10259408393 11048593654 12261244177 13772904418 20518816786 24522488354 38670077789 71815858751 77340155578 143631717502 502711011257 1005422022514