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10233450052 = 22729311033947
BaseRepresentation
bin10011000011111011…
…00000111001000100
3222102012001010101121
421201331200321010
5131424230400202
64411242203324
7511410614230
oct114175407104
928365033347
1010233450052
114381574541
121b971b3544
13c71186bb7
146d11715c0
153ed623537
hex261f60e44

10233450052 has 96 divisors (see below), whose sum is σ = 22073425920. Its totient is φ = 4057119360.

The previous prime is 10233450049. The next prime is 10233450089. The reversal of 10233450052 is 25005433201.

It is a junction number, because it is equal to n+sod(n) for n = 10233449999 and 10233450026.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2590743 + ... + 2594689.

It is an arithmetic number, because the mean of its divisors is an integer number (229931520).

Almost surely, 210233450052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233450052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036712960).

10233450052 is an abundant number, since it is smaller than the sum of its proper divisors (11839975868).

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

10233450052 is a wasteful number, since it uses less digits than its factorization.

10233450052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 10233450052 its reverse (25005433201), we get a palindrome (35238883253).

The spelling of 10233450052 in words is "ten billion, two hundred thirty-three million, four hundred fifty thousand, fifty-two".

Divisors: 1 2 4 7 14 28 29 31 58 62 103 116 124 203 206 217 406 412 434 721 812 868 899 1442 1798 2884 2987 3193 3596 3947 5974 6293 6386 7894 11948 12586 12772 15788 20909 22351 25172 27629 41818 44702 55258 83636 89404 92597 110516 114463 122357 185194 228926 244714 370388 406541 457852 489428 648179 801241 813082 856499 1296358 1602482 1626164 1712998 2592716 2845787 3204964 3425996 3548353 5691574 7096706 11383148 11789689 12602771 14193412 23579378 24838471 25205542 47158756 49676942 50411084 82527823 88219397 99353884 165055646 176438794 330111292 352877588 365480359 730960718 1461921436 2558362513 5116725026 10233450052