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10304213332 = 22721713722573
BaseRepresentation
bin10011001100010110…
…11101000101010100
3222121010012021100211
421212023131011110
5132100334311312
64422251015204
7513230240200
oct114613350524
928533167324
1010304213332
114408506a96
121bb6a3a504
13c82a31c6a
146da711b00
154049503a7
hex2662dd154

10304213332 has 72 divisors (see below), whose sum is σ = 22373452584. Its totient is φ = 4125800448.

The previous prime is 10304213317. The next prime is 10304213347. The reversal of 10304213332 is 23331240301.

It is an interprime number because it is at equal distance from previous prime (10304213317) and next prime (10304213347).

It can be written as a sum of positive squares in 4 ways, for example, as 956417476 + 9347795856 = 30926^2 + 96684^2 .

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, 445198 + ... + 467770.

It is an arithmetic number, because the mean of its divisors is an integer number (310742397).

Almost surely, 210304213332 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 10304213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11186726292).

10304213332 is an abundant number, since it is smaller than the sum of its proper divisors (12069239252).

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

10304213332 is a wasteful number, since it uses less digits than its factorization.

10304213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22745 (or 22736 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10304213332 its reverse (23331240301), we get a palindrome (33635453633).

The spelling of 10304213332 in words is "ten billion, three hundred four million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 137 196 238 274 476 548 833 959 1666 1918 2329 3332 3836 4658 6713 9316 13426 16303 22573 26852 32606 45146 65212 90292 114121 158011 228242 316022 383741 456484 632044 767482 1106077 1534964 2212154 2686187 3092501 4424308 5372374 6185002 10744748 12370004 18803309 21647507 37606618 43295014 52572517 75213236 86590028 105145034 151532549 210290068 303065098 368007619 606130196 736015238 1472030476 2576053333 5152106666 10304213332