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105341114003444 = 221119312131119789
BaseRepresentation
bin10111111100111010100011…
…101011100010111111110100
3111210222111211100121110101022
4113330322203223202333310
5102301402100141102234
61012013012324120312
731121434002116234
oct2774724353427764
9453874740543338
10105341114003444
1130623a08688280
12b993991b36098
1346a1816b32ba7
141c02773c0dcc4
15c2a26dd86e2e
hex5fcea3ae2ff4

105341114003444 has 72 divisors (see below), whose sum is σ = 218739278469600. Its totient is φ = 43898905022400.

The previous prime is 105341114003327. The next prime is 105341114003513. The reversal of 105341114003444 is 444300411143501.

It is a super-2 number, since 2×1053411140034442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64756499 + ... + 66363290.

It is an arithmetic number, because the mean of its divisors is an integer number (3038045534300).

Almost surely, 2105341114003444 is an apocalyptic number.

It is an amenable number.

105341114003444 is an abundant number, since it is smaller than the sum of its proper divisors (113398164466156).

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

105341114003444 is a wasteful number, since it uses less digits than its factorization.

105341114003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131119885 (or 131119852 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 105341114003444 its reverse (444300411143501), we get a palindrome (549641525146945).

The spelling of 105341114003444 in words is "one hundred five trillion, three hundred forty-one billion, one hundred fourteen million, three thousand, four hundred forty-four".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 961 1178 1364 1922 2356 3844 6479 10571 12958 18259 21142 25916 36518 42284 73036 200849 401698 803396 131119789 262239578 524479156 1442317679 2491275991 2884635358 4064713459 4982551982 5769270716 8129426918 9965103964 16258853836 27404035901 44711848049 54808071802 77229555721 89423696098 109616143604 126006117229 154459111442 178847392196 252012234458 308918222884 504024468916 849525112931 1386067289519 1699050225862 2394116227351 2772134579038 3398100451724 4788232454702 5544269158076 9576464909404 26335278500861 52670557001722 105341114003444