Search a number
-
+
10341322113066 = 23719611094919403
BaseRepresentation
bin1001011001111100011011…
…0101001100000000101010
31100121121202112000010020120
42112133012311030000222
52323413011430104231
633554423210304110
72115064413420540
oct226370665140052
940547675003216
1010341322113066
11332780380a48a
1211b0273a28036
135a024ac177b9
1427a746277d90
1512e0051e5d96
hex967c6d4c02a

10341322113066 has 128 divisors (see below), whose sum is σ = 25292881152000. Its totient is φ = 2752873724160.

The previous prime is 10341322113061. The next prime is 10341322113113. The reversal of 10341322113066 is 66031122314301.

It is not an unprimeable number, because it can be changed into a prime (10341322113061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532965721 + ... + 532985123.

It is an arithmetic number, because the mean of its divisors is an integer number (197600634000).

Almost surely, 210341322113066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10341322113066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646440576000).

10341322113066 is an abundant number, since it is smaller than the sum of its proper divisors (14951559038934).

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

10341322113066 is a wasteful number, since it uses less digits than its factorization.

10341322113066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30444.

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 10341322113066 its reverse (66031122314301), we get a palindrome (76372444427367).

The spelling of 10341322113066 in words is "ten trillion, three hundred forty-one billion, three hundred twenty-two million, one hundred thirteen thousand, sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 183 266 366 399 427 798 854 1159 1281 2318 2562 3477 6954 8113 10949 16226 19403 21898 24339 32847 38806 48678 58209 65694 76643 116418 135821 153286 208031 229929 271642 368657 407463 416062 459858 624093 667889 737314 814926 1105971 1183583 1248186 1335778 1456217 2003667 2211942 2367166 2580599 2912434 3550749 4007334 4368651 4675223 5161198 7101498 7741797 8285081 8737302 9350446 12689891 14025669 15483594 16570162 22488077 24855243 25379782 28051338 38069673 44976154 49710486 67464231 76139346 88829237 134928462 157416539 177658474 212443447 266487711 314833078 424886894 472249617 532975422 637330341 944499234 1274660682 1487104129 2974208258 4036425493 4461312387 8072850986 8922624774 12109276479 12959050267 24218552958 25918100534 28254978451 38877150801 56509956902 77754301602 84764935353 90713351869 169529870706 181426703738 246221955073 272140055607 492443910146 544280111214 738665865219 1477331730438 1723553685511 3447107371022 5170661056533 10341322113066