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10323102320010 = 2325672187713613
BaseRepresentation
bin1001011000111000100011…
…0110001100010110001010
31100112212201202020201211100
42112032020312030112022
52323113203143220020
633542211233042230
72113551045633414
oct226161066142612
940485652221740
1010323102320010
113320004156277
1211a882a0b6376
1359b6062bca6c
142798d85959b4
1512d7da8c3a90
hex96388d8c58a

10323102320010 has 144 divisors (see below), whose sum is σ = 27263161749096. Its totient is φ = 2710096494336.

The previous prime is 10323102320009. The next prime is 10323102320021. The reversal of 10323102320010 is 1002320132301.

10323102320010 is a `hidden beast` number, since 1 + 0 + 32 + 310 + 2 + 320 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5148764889921 + 5174337430089 = 2269089^2 + 2274717^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 758319964 + ... + 758333576.

Almost surely, 210323102320010 is an apocalyptic number.

10323102320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323102320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631580874548).

10323102320010 is an abundant number, since it is smaller than the sum of its proper divisors (16940059429086).

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

10323102320010 is a wasteful number, since it uses less digits than its factorization.

10323102320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15637 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10323102320010 its reverse (1002320132301), we get a palindrome (11325422452311).

The spelling of 10323102320010 in words is "ten trillion, three hundred twenty-three billion, one hundred two million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1877 2010 3015 3754 4489 5631 6030 8978 9385 11262 13467 13613 16893 18770 22445 26934 27226 28155 33786 40401 40839 44890 56310 67335 68065 80802 81678 84465 122517 125759 134670 136130 168930 202005 204195 245034 251518 377277 404010 408390 612585 628795 754554 912071 1131831 1225170 1257590 1824142 1886385 2263662 2736213 3772770 4560355 5472426 5659155 8208639 8425853 9120710 11318310 13681065 16417278 16851706 25277559 25551601 27362130 41043195 42129265 50555118 51103202 61108757 75832677 76654803 82086390 84258530 122217514 126387795 127758005 151665354 153309606 183326271 229964409 252775590 255516010 305543785 366652542 379163385 383274015 459928818 549978813 611087570 758326770 766548030 916631355 1099957626 1149822045 1711957267 1833262710 2299644090 2749894065 3423914534 5135871801 5499788130 8559786335 10271743602 15407615403 17119572670 25679359005 30815230806 51358718010 77038077015 114701136889 154076154030 229402273778 344103410667 573505684445 688206821334 1032310232001 1147011368890 1720517053335 2064620464002 3441034106670 5161551160005 10323102320010