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10303302132 = 22321741410621
BaseRepresentation
bin10011001100001111…
…11110100111110100
3222121001110222102200
421212013332213310
5132100121132012
64422215304500
7513216423504
oct114607764764
928531428380
1010303302132
114407a44432
121bb667b130
13c827a32a6
146da555a04
154048203dc
hex2661fe9f4

10303302132 has 72 divisors (see below), whose sum is σ = 28249151112. Its totient is φ = 3153561600.

The previous prime is 10303302103. The next prime is 10303302133. The reversal of 10303302132 is 23120330301.

It can be written as a sum of positive squares in 4 ways, for example, as 2512415376 + 7790886756 = 50124^2 + 88266^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303302133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180219 + ... + 230402.

It is an arithmetic number, because the mean of its divisors is an integer number (392349321).

Almost surely, 210303302132 is an apocalyptic number.

10303302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10303302132 is an abundant number, since it is smaller than the sum of its proper divisors (17945848980).

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

10303302132 is a wasteful number, since it uses less digits than its factorization.

10303302132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410689 (or 410684 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10303302132 its reverse (23120330301), we get a palindrome (33423632433).

The spelling of 10303302132 in words is "ten billion, three hundred three million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 25092 410621 821242 1231863 1642484 2463726 3695589 4927452 6980557 7391178 13961114 14782356 16835461 20941671 27922228 33670922 41883342 50506383 62825013 67341844 83766684 101012766 125650026 151519149 202025532 251300052 286202837 303038298 572405674 606076596 858608511 1144811348 1717217022 2575825533 3434434044 5151651066 10303302132