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10103011123332 = 22329672511726327
BaseRepresentation
bin1001001100000100101001…
…1000111010000010000100
31022202211122012211111202110
42103001022120322002010
52311011431321421312
633253131554541020
72061630014424111
oct223011230720204
938684565744673
1010103011123332
1132457324376a6
121172045b97770
1358392c74543a
1426cdba04d908
15127c086bc43c
hex9304a63a084

10103011123332 has 96 divisors (see below), whose sum is σ = 24849179550720. Its totient is φ = 3190250448000.

The previous prime is 10103011123267. The next prime is 10103011123333. The reversal of 10103011123332 is 23332111030101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10103011123299 and 10103011123308.

It is not an unprimeable number, because it can be changed into a prime (10103011123333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4989153 + ... + 6715479.

It is an arithmetic number, because the mean of its divisors is an integer number (258845620320).

Almost surely, 210103011123332 is an apocalyptic number.

10103011123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103011123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424589775360).

10103011123332 is an abundant number, since it is smaller than the sum of its proper divisors (14746168427388).

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

10103011123332 is a wasteful number, since it uses less digits than its factorization.

10103011123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726681 (or 1726679 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10103011123332 its reverse (23332111030101), we get a palindrome (33435122153433).

The spelling of 10103011123332 in words is "ten trillion, one hundred three billion, eleven million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 251 268 348 402 502 753 804 1004 1506 1943 3012 3886 5829 7279 7772 11658 14558 16817 21837 23316 29116 33634 43674 50451 67268 87348 100902 201804 487693 975386 1463079 1726327 1950772 2926158 3452654 5178981 5852316 6905308 10357962 20715924 50063483 100126966 115663909 150190449 200253932 231327818 300380898 346991727 433308077 462655636 600761796 693983454 866616154 1299924231 1387966908 1733232308 2599848462 3354253361 5199696924 6708506722 10062760083 12565934233 13417013444 20125520166 25131868466 29031641159 37697802699 40251040332 50263736932 58063282318 75395605398 87094923477 116126564636 150791210796 174189846954 348379693908 841917593611 1683835187222 2525752780833 3367670374444 5051505561666 10103011123332