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223130012212002 = 23729683568947147
BaseRepresentation
bin110010101110111110000001…
…000111011101101100100010
31002021001000120012021112000110
4302232332001013131230202
5213221230231111241002
62110320302412032150
764666416465222420
oct6256760107355442
91067030505245013
10223130012212002
11651069a79a7255
1221038111762656
1397670ba66196c
143d1579bb02110
151abe1cc5e0e6c
hexcaef811ddb22

223130012212002 has 128 divisors (see below), whose sum is σ = 528474614630400. Its totient is φ = 61450877892096.

The previous prime is 223130012211961. The next prime is 223130012212021. The reversal of 223130012212002 is 200212210031322.

It is a super-3 number, since 3×2231300122120023 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 223130012212002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4732621393 + ... + 4732668539.

It is an arithmetic number, because the mean of its divisors is an integer number (4128707926800).

Almost surely, 2223130012212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223130012212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264237307315200).

223130012212002 is an abundant number, since it is smaller than the sum of its proper divisors (305344602418398).

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

223130012212002 is a wasteful number, since it uses less digits than its factorization.

223130012212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53560.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223130012212002 its reverse (200212210031322), we get a palindrome (423342222243324).

The spelling of 223130012212002 in words is "two hundred twenty-three trillion, one hundred thirty billion, twelve million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 683 1218 1366 2049 4098 4781 5689 9562 11378 14343 17067 19807 28686 34134 39614 39823 47147 59421 79646 94294 118842 119469 138649 141441 164981 238938 277298 282882 329962 330029 415947 494943 660058 831894 989886 990087 1154867 1367263 1980174 2309734 2734526 3464601 3885587 4101789 6929202 7771174 8203578 9570841 11656761 19141682 23313522 27199109 28712523 32201401 54398218 57425046 64402802 81597327 96604203 112682023 163194654 193208406 225364046 225409807 268219283 338046069 450819614 536438566 676092138 676229421 788774161 804657849 933840629 1352458842 1577548322 1609315698 1867681258 1877534981 2366322483 2801521887 3755069962 4732644966 5603043774 5632604943 6536884403 7778359207 11265209886 13073768806 15556718414 19610653209 23335077621 39221306418 46670155242 54448514449 108897028898 163345543347 183193770289 326691086694 366387540578 549581310867 1099162621734 1282356392023 2564712784046 3847069176069 5312619338381 7694138352138 10625238676762 15937858015143 31875716030286 37188335368667 74376670737334 111565006106001 223130012212002