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233003212130120 = 23523211011493957
BaseRepresentation
bin110100111110101001001001…
…101100001100011101001000
31010112222220000110210012122212
4310332221021230030131020
5221020011034301130440
62143320110431204252
7100035632543642015
oct6476511154143510
91115886013705585
10233003212130120
116827311a958a73
1222171700376688
13a002154855b23
1441775b672c70c
151be0e355a4465
hexd3ea49b0c748

233003212130120 has 48 divisors (see below), whose sum is σ = 548042054289660. Its totient is φ = 89149055067776.

The previous prime is 233003212130093. The next prime is 233003212130219. The reversal of 233003212130120 is 21031212300332.

It can be written as a sum of positive squares in 2 ways, for example, as 199052989000996 + 33950223129124 = 14108614^2 + 5826682^2 .

It is a super-2 number, since 2×2330032121301202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5505725819 + ... + 5505768138.

Almost surely, 2233003212130120 is an apocalyptic number.

233003212130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233003212130120 is an abundant number, since it is smaller than the sum of its proper divisors (315038842159540).

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

233003212130120 is a wasteful number, since it uses less digits than its factorization.

233003212130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011494014 (or 11011493987 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 233003212130120 its reverse (21031212300332), we get a palindrome (254034424430452).

The spelling of 233003212130120 in words is "two hundred thirty-three trillion, three billion, two hundred twelve million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 21160 11011493957 22022987914 44045975828 55057469785 88091951656 110114939570 220229879140 253264361011 440459758280 506528722022 1013057444044 1266321805055 2026114888088 2532643610110 5065287220220 5825080303253 10130574440440 11650160606506 23300321213012 29125401516265 46600642426024 58250803032530 116501606065060 233003212130120