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10332333301113 = 3261137137374301
BaseRepresentation
bin1001011001011010111100…
…0011100101110101111001
31100120202120001222011100100
42112112233003211311321
52323241104311113423
633550335225030013
72114325564654645
oct226265703456571
940522501864310
1010332333301113
113323a1086aa7a
1211aa585625309
1359c447883a65
1427a132535c25
1512db7aec9343
hex965af0e5d79

10332333301113 has 24 divisors (see below), whose sum is σ = 15279868862856. Its totient is φ = 6725845728000.

The previous prime is 10332333301079. The next prime is 10332333301141. The reversal of 10332333301113 is 31110333323301.

10332333301113 is a `hidden beast` number, since 1 + 0 + 3 + 323 + 3 + 330 + 1 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1858715042409 + 8473618258704 = 1363347^2 + 2910948^2 .

It is not a de Polignac number, because 10332333301113 - 213 = 10332333292921 is a prime.

It is a super-3 number, since 3×103323333011133 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10332333301163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68611938 + ... + 68762363.

It is an arithmetic number, because the mean of its divisors is an integer number (636661202619).

Almost surely, 210332333301113 is an apocalyptic number.

It is an amenable number.

10332333301113 is a deficient number, since it is larger than the sum of its proper divisors (4947535561743).

10332333301113 is a wasteful number, since it uses less digits than its factorization.

10332333301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137374505 (or 137374502 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 10332333301113 its reverse (31110333323301), we get a palindrome (41442666624414).

The spelling of 10332333301113 in words is "ten trillion, three hundred thirty-two billion, three hundred thirty-three million, three hundred one thousand, one hundred thirteen".

Divisors: 1 3 9 61 137 183 411 549 1233 8357 25071 75213 137374301 412122903 1236368709 8379832361 18820279237 25139497083 56460837711 75418491249 169382513133 1148037033457 3444111100371 10332333301113