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10333027700 = 2252297334861
BaseRepresentation
bin10011001111110010…
…10111110101110100
3222200010102012020122
421213321113311310
5132130223341300
64425200351112
7514030200122
oct114771276564
928603365218
1010333027700
1144227a7716
122004615498
13c889b0398
14700492912
15407242c85
hex267e57d74

10333027700 has 72 divisors (see below), whose sum is σ = 23232289080. Its totient is φ = 3984422400.

The previous prime is 10333027687. The next prime is 10333027739. The reversal of 10333027700 is 772033301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21031396 + 10311996304 = 4586^2 + 101548^2 .

It is a super-2 number, since 2×103330277002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10333027700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2123270 + ... + 2128130.

Almost surely, 210333027700 is an apocalyptic number.

10333027700 is a gapful number since it is divisible by the number (10) 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 10333027700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616144540).

10333027700 is an abundant number, since it is smaller than the sum of its proper divisors (12899261380).

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

10333027700 is a wasteful number, since it uses less digits than its factorization.

10333027700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 26.

The spelling of 10333027700 in words is "ten billion, three hundred thirty-three million, twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 733 1450 1466 2900 2932 3665 4861 7330 9722 14660 18325 19444 21257 24305 36650 42514 48610 73300 85028 97220 106285 121525 140969 212570 243050 281938 425140 486100 531425 563876 704845 1062850 1409690 2125700 2819380 3524225 3563113 7048450 7126226 14096900 14252452 17815565 35631130 71262260 89077825 103330277 178155650 206660554 356311300 413321108 516651385 1033302770 2066605540 2583256925 5166513850 10333027700