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10400343003197 = 7173124114914887
BaseRepresentation
bin1001011101011000010011…
…0000000001000000111101
31100211021002210012222202022
42113112010300001000331
52330344400302100242
634041503541005525
72122254123621530
oct227260460010075
940737083188668
1010400343003197
11334a840541834
1211bb7a59b38a5
135a5995870124
1427d544a9aa17
1513080b9e20d2
hex97584c0103d

10400343003197 has 96 divisors (see below), whose sum is σ = 13411848844800. Its totient is φ = 7867810713600.

The previous prime is 10400343003187. The next prime is 10400343003199. The reversal of 10400343003197 is 79130034300401.

It is not a de Polignac number, because 10400343003197 - 24 = 10400343003181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400343003199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698611688 + ... + 698626574.

It is an arithmetic number, because the mean of its divisors is an integer number (139706758800).

Almost surely, 210400343003197 is an apocalyptic number.

10400343003197 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10400343003197 is a deficient number, since it is larger than the sum of its proper divisors (3011505841603).

10400343003197 is a wasteful number, since it uses less digits than its factorization.

10400343003197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15163 (or 15132 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

Adding to 10400343003197 its reverse (79130034300401), we get a palindrome (89530377303598).

The spelling of 10400343003197 in words is "ten trillion, four hundred billion, three hundred forty-three million, three thousand, one hundred ninety-seven".

Divisors: 1 7 17 31 41 119 149 217 287 527 697 961 1043 1271 2533 3689 4619 4879 6109 6727 8897 14887 16337 17731 21607 32333 39401 42763 78523 103853 104209 114359 143189 151249 189379 253079 275807 461497 549661 610367 669817 726971 1002323 1325653 1771553 2218163 2434213 3219443 3230479 4272569 4688719 5870749 7845449 10376239 14306407 15527141 17039491 18921377 22536101 37708771 41095243 54918143 68763053 72633673 90944683 99802733 100144849 132449639 243208919 263961397 321663409 481341371 586562687 636612781 698619131 1168971901 1546059611 1702462433 2131654643 2251643863 2819285173 4105938809 8182803307 9971565679 10822417277 14921582501 19734996211 36238128931 47927847941 69800959753 87397840363 253666902517 335494935587 611784882541 1485763286171 10400343003197