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10030324320 = 253257739011
BaseRepresentation
bin10010101011101101…
…01001101001100000
3221220000211021021100
421111312221221200
5131020230334240
64335144354400
7503363231022
oct112566515140
927800737240
1010030324320
114287947135
121b3b175a00
13c3b076c63
146b21b8012
153da89ce30
hex255da9a60

10030324320 has 144 divisors (see below), whose sum is σ = 34276565232. Its totient is φ = 2670996480.

The previous prime is 10030324313. The next prime is 10030324327. The reversal of 10030324320 is 2342303001.

10030324320 is a `hidden beast` number, since 100 + 303 + 243 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10030324313) and next prime (10030324327).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 10030324293 and 10030324302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030324327) 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, 1108615 + ... + 1117625.

It is an arithmetic number, because the mean of its divisors is an integer number (238031703).

Almost surely, 210030324320 is an apocalyptic number.

10030324320 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 10030324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138282616).

10030324320 is an abundant number, since it is smaller than the sum of its proper divisors (24246240912).

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

10030324320 is a wasteful number, since it uses less digits than its factorization.

10030324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9794 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10030324320 its reverse (2342303001), we get a palindrome (12372627321).

The spelling of 10030324320 in words is "ten billion, thirty million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 773 1440 1546 2319 3092 3865 4638 6184 6957 7730 9011 9276 11595 12368 13914 15460 18022 18552 23190 24736 27033 27828 30920 34785 36044 37104 45055 46380 54066 55656 61840 69570 72088 74208 81099 90110 92760 108132 111312 123680 135165 139140 144176 162198 180220 185520 216264 222624 270330 278280 288352 324396 360440 371040 405495 432528 540660 556560 648792 720880 810990 865056 1081320 1113120 1297584 1441760 1621980 2162640 2595168 3243960 4325280 6487920 6965503 12975840 13931006 20896509 27862012 34827515 41793018 55724024 62689527 69655030 83586036 104482545 111448048 125379054 139310060 167172072 208965090 222896096 250758108 278620120 313447635 334344144 417930180 501516216 557240240 626895270 668688288 835860360 1003032432 1114480480 1253790540 1671720720 2006064864 2507581080 3343441440 5015162160 10030324320