Search a number
-
+
10340554535151 = 359672696914691
BaseRepresentation
bin1001011001111001100100…
…0101000111000011101111
31100121112210000200010021220
42112132121011013003233
52323404423430111101
633554215110354423
72115036403211211
oct226363105070357
940545700603256
1010340554535151
11332744a503875
1211b009a95ba13
135a0157ba7199
1427a6b234c5b1
1512deacb25636
hex967991470ef

10340554535151 has 64 divisors (see below), whose sum is σ = 14306981529600. Its totient is φ = 6639855868800.

The previous prime is 10340554535149. The next prime is 10340554535173. The reversal of 10340554535151 is 15153545504301.

It is not a de Polignac number, because 10340554535151 - 21 = 10340554535149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340554535351) by changing a digit.

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, 2204336716 + ... + 2204341406.

It is an arithmetic number, because the mean of its divisors is an integer number (223546586400).

Almost surely, 210340554535151 is an apocalyptic number.

10340554535151 is a deficient number, since it is larger than the sum of its proper divisors (3966426994449).

10340554535151 is a wasteful number, since it uses less digits than its factorization.

10340554535151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780.

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 10340554535151 in words is "ten trillion, three hundred forty billion, five hundred fifty-four million, five hundred thirty-five thousand, one hundred fifty-one".

Divisors: 1 3 59 67 177 201 269 691 807 2073 3953 4691 11859 14073 15871 18023 40769 46297 47613 54069 122307 138891 185879 276769 314297 557637 830307 942891 1063357 1261879 2731523 3190071 3241481 3785637 8194569 9724443 10966861 12453893 18543523 32900583 37361679 55630569 74450861 84545893 191247379 217179227 223352583 253637679 573742137 651537681 734779687 871958389 2204339061 2615875167 4988207687 12813574393 14964623061 38440723179 51445544951 58421212063 154336634853 175263636189 3446851511717 10340554535151