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10133113003 = 1319313747761
BaseRepresentation
bin10010110111111101…
…10000100010101011
3222011012020110211121
421123332300202223
5131223034104003
64353255440111
7506052016336
oct113376604253
928135213747
1010133113003
11432a972862
121b69686037
13c56455b70
146c1ad361d
153e4903cbd
hex25bfb08ab

10133113003 has 64 divisors (see below), whose sum is σ = 12453396480. Its totient is φ = 8155468800.

The previous prime is 10133112919. The next prime is 10133113063. The reversal of 10133113003 is 30031133101.

It is not a de Polignac number, because 10133113003 - 29 = 10133112491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133113063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13315143 + ... + 13315903.

It is an arithmetic number, because the mean of its divisors is an integer number (194584320).

Almost surely, 210133113003 is an apocalyptic number.

10133113003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10133113003 is a deficient number, since it is larger than the sum of its proper divisors (2320283477).

10133113003 is a wasteful number, since it uses less digits than its factorization.

10133113003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10133113003 its reverse (30031133101), we get a palindrome (40164246104).

The spelling of 10133113003 in words is "ten billion, one hundred thirty-three million, one hundred thirteen thousand, three".

Divisors: 1 13 19 31 37 47 247 403 481 589 611 703 761 893 1147 1457 1739 7657 9139 9893 11609 14459 14911 18941 21793 22607 23591 27683 28157 33041 35767 53909 187967 283309 306683 359879 366041 429533 448229 464971 534983 679573 700817 872867 1024271 1108777 1323379 5826977 6954779 8834449 11347271 13315523 14414101 16584473 17203927 21066763 25144201 41024749 215598149 273867919 326874613 533321737 779470231 10133113003