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10303230312320 = 275115212809073
BaseRepresentation
bin1001010111101110100001…
…1000011111111110000000
31100110222102211120011000112
42111323220120133332000
52322302003424443240
633525123315010452
72112245436436061
oct225735030377600
940428384504015
1010303230312320
1133126369a7820
1211a4a02b99a28
1359978a2a9b2a
142789712aa568
1512d025edb665
hex95ee861ff80

10303230312320 has 128 divisors (see below), whose sum is σ = 26921940490080. Its totient is φ = 3739436646400.

The previous prime is 10303230312311. The next prime is 10303230312413. The reversal of 10303230312320 is 2321303230301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263304 + ... + 5072376.

Almost surely, 210303230312320 is an apocalyptic number.

10303230312320 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 10303230312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460970245040).

10303230312320 is an abundant number, since it is smaller than the sum of its proper divisors (16618710177760).

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

10303230312320 is a wasteful number, since it uses less digits than its factorization.

10303230312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809624 (or 2809612 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 10303230312320 its reverse (2321303230301), we get a palindrome (12624533542621).

The spelling of 10303230312320 in words is "ten trillion, three hundred three billion, two hundred thirty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 521 640 704 880 1042 1408 1760 2084 2605 3520 4168 5210 5731 7040 8336 10420 11462 16672 20840 22924 28655 33344 41680 45848 57310 66688 83360 91696 114620 166720 183392 229240 333440 366784 458480 733568 916960 1833920 2809073 3667840 5618146 11236292 14045365 22472584 28090730 30899803 44945168 56181460 61799606 89890336 112362920 123599212 154499015 179780672 224725840 247198424 308998030 359561344 449451680 494396848 617996060 898903360 988793696 1235992120 1463527033 1797806720 1977587392 2471984240 2927054066 3955174784 4943968480 5854108132 7317635165 9887936960 11708216264 14635270330 16098797363 19775873920 23416432528 29270540660 32197594726 46832865056 58541081320 64395189452 80493986815 93665730112 117082162640 128790378904 160987973630 187331460224 234164325280 257580757808 321975947260 468328650560 515161515616 643951894520 936657301120 1030323031232 1287903789040 2060646062464 2575807578080 5151615156160 10303230312320