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10312330130032 = 2473721183914057
BaseRepresentation
bin1001011000010000011011…
…0001100011001001110000
31100111211221000110210012011
42112010012301203021300
52322424123003130112
633533230303412304
72113020103552630
oct226040661431160
940454830423164
1010312330130032
113316486575527
1211a67225b4094
1359a5aa638958
14279195a666c0
1512d3a9d33aa7
hex96106c63270

10312330130032 has 160 divisors (see below), whose sum is σ = 23592499983360. Its totient is φ = 4274337392640.

The previous prime is 10312330130023. The next prime is 10312330130051. The reversal of 10312330130032 is 23003103321301.

It is a junction number, because it is equal to n+sod(n) for n = 10312330129985 and 10312330130012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733601148 + ... + 733615204.

It is an arithmetic number, because the mean of its divisors is an integer number (147453124896).

Almost surely, 210312330130032 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 10312330130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796249991680).

10312330130032 is an abundant number, since it is smaller than the sum of its proper divisors (13280169853328).

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

10312330130032 is a wasteful number, since it uses less digits than its factorization.

10312330130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15159 (or 15153 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10312330130032 its reverse (23003103321301), we get a palindrome (33315433451333).

The spelling of 10312330130032 in words is "ten trillion, three hundred twelve billion, three hundred thirty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 211 259 296 422 518 592 839 844 1036 1477 1678 1688 2072 2954 3356 3376 4144 5873 5908 6712 7807 11746 11816 13424 14057 15614 23492 23632 28114 31043 31228 46984 54649 56228 62086 62456 93968 98399 109298 112456 124172 124912 177029 196798 217301 218596 224912 248344 354058 393596 434602 437192 496688 520109 708116 787192 869204 874384 1040218 1239203 1416232 1574384 1738408 2080436 2478406 2832464 2966027 3476816 3640763 4160872 4956812 5932054 6550073 7281526 8321744 9913624 11793823 11864108 13100146 14563052 19827248 20762189 23587646 23728216 26200292 29126104 41524378 45850511 47175292 47456432 52400584 58252208 82556761 83048756 91701022 94350584 104801168 109742999 165113522 166097512 183402044 188701168 219485998 330227044 332195024 366804088 436371451 438971996 660454088 733608176 768200993 872742902 877943992 1320908176 1536401986 1745485804 1755887984 2488496653 3054600157 3072803972 3490971608 4976993306 6109200314 6145607944 6981943216 9953986612 12218400628 12291215888 17419476571 19907973224 24436801256 34838953142 39815946448 48873602512 69677906284 92074376161 139355812568 184148752322 278711625136 368297504644 644520633127 736595009288 1289041266254 1473190018576 2578082532508 5156165065016 10312330130032