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223300120113120 = 2535686116780379
BaseRepresentation
bin110010110001011100011100…
…010101100110111111100000
31002021122021122022022020122110
4302301130130111212333200
5213232022121222104440
62110530354202435320
765014621066431201
oct6261343425467740
91067567568266573
10223300120113120
116517205a4220a6
1221065086502b40
13977a159a6795b
143d1dad7c255a8
151ac3836652080
hexcb171c566fe0

223300120113120 has 96 divisors (see below), whose sum is σ = 703405734030720. Its totient is φ = 59545822026240.

The previous prime is 223300120113079. The next prime is 223300120113131. The reversal of 223300120113120 is 21311021003322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2233001201131202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29543091 + ... + 36323469.

It is an arithmetic number, because the mean of its divisors is an integer number (7327143062820).

Almost surely, 2223300120113120 is an apocalyptic number.

223300120113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223300120113120 is an abundant number, since it is smaller than the sum of its proper divisors (480105613917600).

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

223300120113120 is a wasteful number, since it uses less digits than its factorization.

223300120113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849008 (or 6849000 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 223300120113120 its reverse (21311021003322), we get a palindrome (244611141116442).

The spelling of 223300120113120 in words is "two hundred twenty-three trillion, three hundred billion, one hundred twenty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 68611 137222 205833 274444 343055 411666 548888 686110 823332 1029165 1097776 1372220 1646664 2058330 2195552 2744440 3293328 4116660 5488880 6586656 6780379 8233320 10977760 13560758 16466640 20341137 27121516 32933280 33901895 40682274 54243032 67803790 81364548 101705685 108486064 135607580 162729096 203411370 216972128 271215160 325458192 406822740 542430320 650916384 813645480 1084860640 1627290960 3254581920 465208583569 930417167138 1395625750707 1860834334276 2326042917845 2791251501414 3721668668552 4652085835690 5582503002828 6978128753535 7443337337104 9304171671380 11165006005656 13956257507070 14886674674208 18608343342760 22330012011312 27912515014140 37216686685520 44660024022624 55825030028280 74433373371040 111650060056560 223300120113120