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10406670334071 = 31121071861143971
BaseRepresentation
bin1001011101101111110111…
…1000110111100001110111
31100211212102202012200222020
42113123331320313201313
52331000330101142241
634044431445404223
72122566664220364
oct227337570674167
940755382180866
1010406670334071
113352498114100
121200a70a09673
135a64636b5aab
1427d98515546b
15130a7c236b66
hex976fde37877

10406670334071 has 48 divisors (see below), whose sum is σ = 15402566841984. Its totient is φ = 6244727544000.

The previous prime is 10406670334069. The next prime is 10406670334201. The reversal of 10406670334071 is 17043307660401.

It is not a de Polignac number, because 10406670334071 - 21 = 10406670334069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406670334051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72211116 + ... + 72355086.

It is an arithmetic number, because the mean of its divisors is an integer number (320886809208).

Almost surely, 210406670334071 is an apocalyptic number.

10406670334071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10406670334071 is a deficient number, since it is larger than the sum of its proper divisors (4995896507913).

10406670334071 is a wasteful number, since it uses less digits than its factorization.

10406670334071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145964 (or 145953 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

Adding to 10406670334071 its reverse (17043307660401), we get a palindrome (27449977994472).

The spelling of 10406670334071 in words is "ten trillion, four hundred six billion, six hundred seventy million, three hundred thirty-four thousand, seventy-one".

Divisors: 1 3 11 33 107 121 321 363 1177 1861 3531 5583 12947 20471 38841 61413 143971 199127 225181 431913 597381 675543 1583681 2190397 4751043 6571191 15404897 17420491 24094367 46214691 52261473 72283101 169453867 267930031 508361601 803790093 1863992537 2947230341 5591977611 8841691023 28668513317 32419533751 86005539951 97258601253 315353646487 946060939461 3468890111357 10406670334071