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233220131130 = 235713919874021
BaseRepresentation
bin1101100100110100000…
…0001100100100111010
3211021222111211012100110
43121031000030210322
512310113323144010
6255050112445150
722564261256160
oct3311500144472
9737874735313
10233220131130
118a9a9758428
1239248b497b6
1318cb9880abc
14b406075230
1560eeb26120
hex364d00c93a

233220131130 has 128 divisors (see below), whose sum is σ = 644776151040. Its totient is φ = 52884161280.

The previous prime is 233220131129. The next prime is 233220131159. The reversal of 233220131130 is 31131022332.

It is a super-3 number, since 3×2332201311303 (a number of 35 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233220131097 and 233220131106.

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, 57998520 + ... + 58002540.

It is an arithmetic number, because the mean of its divisors is an integer number (5037313680).

Almost surely, 2233220131130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233220131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322388075520).

233220131130 is an abundant number, since it is smaller than the sum of its proper divisors (411556019910).

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

233220131130 is a wasteful number, since it uses less digits than its factorization.

233220131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233220131130 its reverse (31131022332), we get a palindrome (264351153462).

The spelling of 233220131130 in words is "two hundred thirty-three billion, two hundred twenty million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 210 278 417 695 834 973 1390 1946 1987 2085 2919 3974 4021 4170 4865 5838 5961 8042 9730 9935 11922 12063 13909 14595 19870 20105 24126 27818 28147 29190 29805 40210 41727 56294 59610 60315 69545 83454 84441 120630 139090 140735 168882 208635 276193 281470 417270 422205 552386 558919 828579 844410 1117838 1380965 1657158 1676757 1933351 2761930 2794595 3353514 3866702 3912433 4142895 5589190 5800053 7824866 7989727 8285790 8383785 9666755 11600106 11737299 15979454 16767570 19333510 19562165 23474598 23969181 29000265 39124330 39948635 47938362 55928089 58000530 58686495 79897270 111856178 117372990 119845905 167784267 239691810 279640445 335568534 559280890 838921335 1110572053 1677842670 2221144106 3331716159 5552860265 6663432318 7774004371 11105720530 15548008742 16658580795 23322013113 33317161590 38870021855 46644026226 77740043710 116610065565 233220131130