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1041420341010 = 235728185720593
BaseRepresentation
bin11110010011110010111…
…11010100111100010010
310200120002101002202120010
433021321133110330102
5114030312101403020
62114231044055350
7135145236561510
oct17117137247422
93616071082503
101041420341010
113717336a6185
12149a01694556
137728969c26a
14385954dd4b0
151c152caede0
hexf2797d4f12

1041420341010 has 128 divisors (see below), whose sum is σ = 2870116913664. Its totient is φ = 236903546880.

The previous prime is 1041420340999. The next prime is 1041420341021. The reversal of 1041420341010 is 101430241401.

It is an interprime number because it is at equal distance from previous prime (1041420340999) and next prime (1041420341021).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50561274 + ... + 50581866.

It is an arithmetic number, because the mean of its divisors is an integer number (22422788388).

Almost surely, 21041420341010 is an apocalyptic number.

1041420341010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041420341010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435058456832).

1041420341010 is an abundant number, since it is smaller than the sum of its proper divisors (1828696572654).

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

1041420341010 is a wasteful number, since it uses less digits than its factorization.

1041420341010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21748.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1041420341010 its reverse (101430241401), we get a palindrome (1142850582411).

The spelling of 1041420341010 in words is "one trillion, forty-one billion, four hundred twenty million, three hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 281 562 843 857 1405 1686 1714 1967 2571 2810 3934 4215 4285 5142 5901 5999 8430 8570 9835 11802 11998 12855 17997 19670 20593 25710 29505 29995 35994 41186 59010 59990 61779 89985 102965 123558 144151 179970 205930 240817 288302 308895 432453 481634 617790 720755 722451 864906 1204085 1441510 1444902 1685719 2162265 2408170 3371438 3612255 4324530 5057157 5786633 7224510 8428595 10114314 11573266 16857190 17359899 17648201 25285785 28933165 34719798 35296402 40506431 50571570 52944603 57866330 81012862 86799495 88241005 105889206 121519293 123537407 173598990 176482010 202532155 243038586 247074814 264723015 370612221 405064310 529446030 607596465 617687035 741224442 1215192930 1235374070 1853061105 3706122210 4959144481 9918288962 14877433443 24795722405 29754866886 34714011367 49591444810 69428022734 74387167215 104142034101 148774334430 173570056835 208284068202 347140113670 520710170505 1041420341010