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10020010320 = 2432534614021
BaseRepresentation
bin10010101010011110…
…10011100101010000
3221212022102021010100
421111033103211100
5131010110312240
64334135332400
7503206453035
oct112517234520
927768367110
1010020010320
114282042071
121b37821100
13c38ba54b8
146b0a9138c
153d9a11e30
hex2553d3950

10020010320 has 120 divisors (see below), whose sum is σ = 33668628552. Its totient is φ = 2670566400.

The previous prime is 10020010291. The next prime is 10020010337. The reversal of 10020010320 is 2301002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121352256 + 9898658064 = 11016^2 + 99492^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 2489910 + ... + 2493930.

Almost surely, 210020010320 is an apocalyptic number.

10020010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020010320 is an abundant number, since it is smaller than the sum of its proper divisors (23648618232).

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

10020010320 is a wasteful number, since it uses less digits than its factorization.

10020010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020010320 its reverse (2301002001), we get a palindrome (12321012321).

The spelling of 10020010320 in words is "ten billion, twenty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3461 4021 6922 8042 10383 12063 13844 16084 17305 20105 20766 24126 27688 31149 32168 34610 36189 40210 41532 48252 51915 55376 60315 62298 64336 69220 72378 80420 83064 96504 103830 120630 124596 138440 144756 155745 160840 166128 180945 193008 207660 241260 249192 276880 289512 311490 321680 361890 415320 482520 498384 579024 622980 723780 830640 965040 1245960 1447560 2491920 2895120 13916681 27833362 41750043 55666724 69583405 83500086 111333448 125250129 139166810 167000172 208750215 222666896 250500258 278333620 334000344 417500430 501000516 556667240 626250645 668000688 835000860 1002001032 1113334480 1252501290 1670001720 2004002064 2505002580 3340003440 5010005160 10020010320