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10643103342113 = 1124147101451939
BaseRepresentation
bin1001101011100000101001…
…1001001101111000100001
31101200110201011121221212212
42122320022121031320201
52343334033423421423
634345212453331505
72145640010510624
oct232701231157041
941613634557785
1010643103342113
11343379540a500
12123a855936b95
135c2842a93598
1428b1b3ba7dbb
15136cb8e51578
hex9ae0a64de21

10643103342113 has 48 divisors (see below), whose sum is σ = 12360132368640. Its totient is φ = 9147225120000.

The previous prime is 10643103342101. The next prime is 10643103342139. The reversal of 10643103342113 is 31124330134601.

It is a de Polignac number, because none of the positive numbers 2k-10643103342113 is a prime.

It is a super-2 number, since 2×106431033421132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10643103342113.

It is not an unprimeable number, because it can be changed into a prime (10643103042113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23323898 + ... + 23775836.

It is an arithmetic number, because the mean of its divisors is an integer number (257502757680).

Almost surely, 210643103342113 is an apocalyptic number.

It is an amenable number.

10643103342113 is a deficient number, since it is larger than the sum of its proper divisors (1717029026527).

10643103342113 is a wasteful number, since it uses less digits than its factorization.

10643103342113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452150 (or 452139 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 10643103342113 its reverse (31124330134601), we get a palindrome (41767433476714).

The spelling of 10643103342113 in words is "ten trillion, six hundred forty-three billion, one hundred three million, three hundred forty-two thousand, one hundred thirteen".

Divisors: 1 11 41 47 101 121 451 517 1111 1927 4141 4747 4961 5687 12221 21197 45551 52217 194627 233167 451939 501061 574387 2140897 4971329 18529499 21241133 23549867 45645839 54684619 203824489 233652463 502104229 870886453 1871479399 2145354433 2242069379 2570177093 5523146519 9579750983 20586273389 23598898763 87959531753 105377260813 226449007279 259587886393 967554849283 10643103342113