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210023010404004 = 223723114977328857
BaseRepresentation
bin101111110000001111001010…
…111011100000011010100100
31000112122000002200222221121010
4233300033022323200122210
5210012004111130412004
62022403123343222220
762144442662123100
oct5760171273403244
91015560080887533
10210023010404004
1160a132930a2486
121b67ba492a7970
1390261146a9c75
1439c124cb8c900
1519432a9199a89
hexbf03caee06a4

210023010404004 has 144 divisors (see below), whose sum is σ = 592400915366400. Its totient is φ = 57681140267520.

The previous prime is 210023010403967. The next prime is 210023010404023. The reversal of 210023010404004 is 400404010320012.

210023010404004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2100230104040043 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35948457 + ... + 41380400.

It is an arithmetic number, because the mean of its divisors is an integer number (4113895245600).

Almost surely, 2210023010404004 is an apocalyptic number.

It is an amenable number.

210023010404004 is an abundant number, since it is smaller than the sum of its proper divisors (382377904962396).

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

210023010404004 is a wasteful number, since it uses less digits than its factorization.

210023010404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77329058 (or 77329049 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 210023010404004 its reverse (400404010320012), we get a palindrome (610427020724016).

The spelling of 210023010404004 in words is "two hundred ten trillion, twenty-three billion, ten million, four hundred four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 149 186 196 217 294 298 372 434 447 588 596 651 868 894 1043 1302 1519 1788 2086 2604 3038 3129 4172 4557 4619 6076 6258 7301 9114 9238 12516 13857 14602 18228 18476 21903 27714 29204 32333 43806 55428 64666 87612 96999 129332 193998 226331 387996 452662 678993 905324 1357986 2715972 77328857 154657714 231986571 309315428 463973142 541301999 927946284 1082603998 1623905997 2165207996 2397194567 3247811994 3789113993 4794389134 6495623988 7191583701 7578227986 9588778268 11367341979 11521999693 14383167402 15156455972 16780361969 22734683958 23043999386 28766334804 33560723938 34565999079 45469367916 46087998772 50341085907 67121447876 69131998158 80653997851 100682171814 117462533783 138263996316 161307995702 201364343628 234925067566 241961993553 322615991404 352387601349 357181990483 469850135132 483923987106 564577984957 704775202698 714363980966 967847974212 1071545971449 1129155969914 1409550405396 1428727961932 1693733954871 2143091942898 2258311939828 2500273933381 3387467909742 4286183885796 5000547866762 6774935819484 7500821800143 10001095733524 15001643600286 17501917533667 30003287200572 35003835067334 52505752601001 70007670134668 105011505202002 210023010404004