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10233203312322 = 234895623126223
BaseRepresentation
bin1001010011101001101001…
…1100101100011011000010
31100020021200112101222010000
42110322122130230123002
52320130100021443242
633433022501220430
72104216213654164
oct224723234543302
940207615358100
1010233203312322
113295971544201
12119331b101716
13592caa39ab63
1427540ac66934
1512b2c8345a4c
hex94e9a72c6c2

10233203312322 has 80 divisors (see below), whose sum is σ = 23191902961920. Its totient is φ = 3372114639168.

The previous prime is 10233203312291. The next prime is 10233203312327. The reversal of 10233203312322 is 22321330233201.

10233203312322 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 2 + 0 + 331 + 2 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10233203312327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81009303 + ... + 81135525.

It is an arithmetic number, because the mean of its divisors is an integer number (289898787024).

Almost surely, 210233203312322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233203312322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595951480960).

10233203312322 is an abundant number, since it is smaller than the sum of its proper divisors (12958699649598).

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

10233203312322 is a wasteful number, since it uses less digits than its factorization.

10233203312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131949 (or 131940 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10233203312322 its reverse (22321330233201), we get a palindrome (32554533545523).

The spelling of 10233203312322 in words is "ten trillion, two hundred thirty-three billion, two hundred three million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1602 2403 4806 5623 7209 11246 14418 16869 33738 50607 101214 126223 151821 252446 303642 378669 455463 500447 757338 910926 1000894 1136007 1501341 2272014 3002682 3408021 4504023 6816042 9008046 10224063 11233847 13512069 20448126 22467694 27024138 33701541 40536207 67403082 81072414 101104623 202209246 303313869 606627738 709751929 909941607 1419503858 1819883214 2129255787 4258511574 6387767361 12775534722 19163302083 38326604166 57489906249 63167921681 114979812498 126335843362 189503765043 379007530086 568511295129 1137022590258 1705533885387 3411067770774 5116601656161 10233203312322