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103123211301 = 321117591935381
BaseRepresentation
bin110000000001010011…
…1110101010000100101
3100212011211111220201100
41200002213311100211
53142144020230201
6115212452150313
710310326555545
oct1400247652045
9325154456640
10103123211301
113a809400a70
1217b9b908399
1399558a3776
144dc3b7b325
152a3851a886
hex18029f5425

103123211301 has 96 divisors (see below), whose sum is σ = 175911315840. Its totient is φ = 57515212800.

The previous prime is 103123211299. The next prime is 103123211311. The reversal of 103123211301 is 103112321301.

103123211301 is a `hidden beast` number, since 1 + 0 + 312 + 321 + 1 + 30 + 1 = 666.

It is not a de Polignac number, because 103123211301 - 21 = 103123211299 is a prime.

It is a super-2 number, since 2×1031232113012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123211311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19161631 + ... + 19167011.

It is an arithmetic number, because the mean of its divisors is an integer number (1832409540).

Almost surely, 2103123211301 is an apocalyptic number.

103123211301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103123211301 is a deficient number, since it is larger than the sum of its proper divisors (72788104539).

103123211301 is a wasteful number, since it uses less digits than its factorization.

103123211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103123211301 its reverse (103112321301), we get a palindrome (206235532602).

Subtracting from 103123211301 its reverse (103112321301), we obtain a square (10890000 = 33002).

The spelling of 103123211301 in words is "one hundred three billion, one hundred twenty-three million, two hundred eleven thousand, three hundred one".

Divisors: 1 3 9 11 17 33 51 59 99 153 177 187 193 531 561 579 649 1003 1683 1737 1947 2123 3009 3281 5381 5841 6369 9027 9843 11033 11387 16143 19107 29529 33099 34161 36091 48429 59191 91477 99297 102483 108273 125257 177573 193579 274431 317479 324819 375771 532719 580737 823293 952437 1006247 1038533 1127313 1742211 2129369 2857311 3018741 3115599 3492269 5397143 6388107 9056223 9346797 10476807 11423863 16191429 17655061 19164321 31430421 34271589 48574287 52965183 59368573 61273447 102814767 158895549 178105719 183820341 194205671 534317157 551461023 582617013 674007917 1041648599 1747851039 2022023751 3124945797 6066071253 9374837391 11458134589 34374403767 103123211301