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10302302020320 = 2532559121260617
BaseRepresentation
bin1001010111101011000100…
…0011010110001011100000
31100110220001010211000210100
42111322301003112023200
52322243103304122240
633524451234302400
72112213435204312
oct225726103261340
940426033730710
1010302302020320
1133121aaa01252
1211a47a4127a00
1359966cb88a1b
142788c3ca77b2
1512cebe771e30
hex95eb10d62e0

10302302020320 has 144 divisors (see below), whose sum is σ = 35752480611120. Its totient is φ = 2700716439552.

The previous prime is 10302302020313. The next prime is 10302302020349. The reversal of 10302302020320 is 2302020320301.

It is a happy number.

10302302020320 is a `hidden beast` number, since 1 + 0 + 302 + 3 + 0 + 20 + 20 + 320 = 666.

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

It is a super-2 number, since 2×103023020203202 (a number of 27 digits) contains 22 as substring.

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 = 10302302020293 and 10302302020302.

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, 60545349 + ... + 60715268.

It is an arithmetic number, because the mean of its divisors is an integer number (248281115355).

Almost surely, 210302302020320 is an apocalyptic number.

10302302020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302302020320 is an abundant number, since it is smaller than the sum of its proper divisors (25450178590800).

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

10302302020320 is a wasteful number, since it uses less digits than its factorization.

10302302020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121260697 (or 121260686 counting only the distinct ones).

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

Adding to 10302302020320 its reverse (2302020320301), we get a palindrome (12604322340621).

The spelling of 10302302020320 in words is "ten trillion, three hundred two billion, three hundred two million, twenty 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 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1062 1180 1416 1440 1770 1888 2124 2360 2655 2832 3540 4248 4720 5310 5664 7080 8496 9440 10620 14160 16992 21240 28320 42480 84960 121260617 242521234 363781851 485042468 606303085 727563702 970084936 1091345553 1212606170 1455127404 1818909255 1940169872 2182691106 2425212340 2910254808 3637818510 3880339744 4365382212 4850424680 5456727765 5820509616 7154376403 7275637020 8730764424 9700849360 10913455530 11641019232 14308752806 14551274040 17461528848 19401698720 21463129209 21826911060 28617505612 29102548080 34923057696 35771882015 42926258418 43653822120 57235011224 58205096160 64389387627 71543764030 85852516836 87307644240 107315646045 114470022448 128778775254 143087528060 171705033672 174615288480 214631292090 228940044896 257557550508 286175056120 321946938135 343410067344 429262584180 515115101016 572350112240 643893876270 686820134688 858525168360 1030230202032 1144700224480 1287787752540 1717050336720 2060460404064 2575575505080 3434100673440 5151151010160 10302302020320