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10403322302112 = 2531914311316407
BaseRepresentation
bin1001011101100011011001…
…0101001000111010100000
31100211112210102022001112120
42113120312111020322200
52330422001002131422
634043115325424240
72122421011345305
oct227306625107240
940745712261476
1010403322302112
11335102a253143
12120029770b080
135a604bb870ac
1427d7486350ac
1513093334745c
hex97636548ea0

10403322302112 has 96 divisors (see below), whose sum is σ = 27515412578304. Its totient is φ = 3441611846400.

The previous prime is 10403322302111. The next prime is 10403322302179. The reversal of 10403322302112 is 21120322330401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×104033223021122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10403322302111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7244613 + ... + 8561019.

It is an arithmetic number, because the mean of its divisors is an integer number (286618881024).

Almost surely, 210403322302112 is an apocalyptic number.

10403322302112 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 10403322302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757706289152).

10403322302112 is an abundant number, since it is smaller than the sum of its proper divisors (17112090276192).

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

10403322302112 is a wasteful number, since it uses less digits than its factorization.

10403322302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317042 (or 1317034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10403322302112 its reverse (21120322330401), we get a palindrome (31523644632513).

The spelling of 10403322302112 in words is "ten trillion, four hundred three billion, three hundred twenty-two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 431 573 764 862 1146 1293 1528 1724 2292 2586 3056 3448 4584 5172 6112 6896 9168 10344 13792 18336 20688 41376 82321 164642 246963 329284 493926 658568 987852 1316407 1317136 1975704 2632814 2634272 3949221 3951408 5265628 7898442 7902816 10531256 15796884 21062512 31593768 42125024 63187536 126375072 251433737 502867474 567371417 754301211 1005734948 1134742834 1508602422 1702114251 2011469896 2269485668 3017204844 3404228502 4022939792 4538971336 6034409688 6808457004 8045879584 9077942672 12068819376 13616914008 18155885344 24137638752 27233828016 54467656032 108367940647 216735881294 325103821941 433471762588 650207643882 866943525176 1300415287764 1733887050352 2600830575528 3467774100704 5201661151056 10403322302112