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10301375133 = 3271734392153
BaseRepresentation
bin10011001100000001…
…01000001010011101
3222120220212002002100
421212000220022131
5132044123001013
64422110115313
7513164146440
oct114600501235
928526762070
1010301375133
114406948675
121bb5aabb39
13c8227a15a
146da1b3657
1540458e473
hex26602829d

10301375133 has 48 divisors (see below), whose sum is σ = 17150664960. Its totient is φ = 5836430592.

The previous prime is 10301375129. The next prime is 10301375191. The reversal of 10301375133 is 33157310301.

10301375133 is a `hidden beast` number, since 10 + 3 + 0 + 137 + 513 + 3 = 666.

It is not a de Polignac number, because 10301375133 - 22 = 10301375129 is a prime.

It is a super-3 number, since 3×103013751333 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10301375097 and 10301375106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301373133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4783585 + ... + 4785737.

It is an arithmetic number, because the mean of its divisors is an integer number (357305520).

Almost surely, 210301375133 is an apocalyptic number.

It is an amenable number.

10301375133 is a deficient number, since it is larger than the sum of its proper divisors (6849289827).

10301375133 is a wasteful number, since it uses less digits than its factorization.

10301375133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

Adding to 10301375133 its reverse (33157310301), we get a palindrome (43458685434).

The spelling of 10301375133 in words is "ten billion, three hundred one million, three hundred seventy-five thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 173 439 519 1211 1317 1557 2153 3073 3633 3951 6459 9219 10899 15071 19377 27657 45213 75947 135639 227841 372469 531629 683523 945167 1117407 1594887 2607283 2835501 3352221 4784661 6616169 7821849 8506503 19848507 23465547 59545521 163513891 490541673 1144597237 1471625019 3433791711 10301375133