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10133103112 = 2311796772153
BaseRepresentation
bin10010110111111101…
…01110001000001000
3222011012012222021021
421123332232020020
5131223033244422
64353255322224
7506051645446
oct113376561010
928135188237
1010133103112
11432a966390
121b69680374
13c56451502
146c1acdb96
153e4900dc7
hex25bfae208

10133103112 has 64 divisors (see below), whose sum is σ = 21029932800. Its totient is φ = 4538826240.

The previous prime is 10133103109. The next prime is 10133103139. The reversal of 10133103112 is 21130133101.

10133103112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4705428 + ... + 4707580.

It is an arithmetic number, because the mean of its divisors is an integer number (328592700).

Almost surely, 210133103112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514966400).

10133103112 is an abundant number, since it is smaller than the sum of its proper divisors (10896829688).

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

10133103112 is a wasteful number, since it uses less digits than its factorization.

10133103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10133103112 its reverse (21130133101), we get a palindrome (31263236213).

The spelling of 10133103112 in words is "ten billion, one hundred thirty-three million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 677 869 1354 1738 2153 2708 3476 4306 5416 6952 7447 8612 14894 17224 23683 29788 47366 53483 59576 94732 106966 170087 189464 213932 340174 427864 588313 680348 1176626 1360696 1457581 1870957 2353252 2915162 3741914 4706504 5830324 7483828 11660648 14967656 16033391 32066782 64133564 115148899 128267128 230297798 460595596 921191192 1266637889 2533275778 5066551556 10133103112