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2231102120 = 23513231011847
BaseRepresentation
bin1000010011111011…
…1110101010101000
312202111012201201212
42010332332222220
514032130231440
61005220132252
7106201024622
oct20476765250
95674181655
102231102120
11a45443055
12523237088
13297301190
14172455c12
15d0d12465
hex84fbeaa8

2231102120 has 128 divisors (see below), whose sum is σ = 5700119040. Its totient is φ = 779750400.

The previous prime is 2231102087. The next prime is 2231102123. The reversal of 2231102120 is 212011322.

It is a happy number.

It is a super-3 number, since 3×22311021203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231102095 and 2231102104.

It is not an unprimeable number, because it can be changed into a prime (2231102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207037 + ... + 1208883.

It is an arithmetic number, because the mean of its divisors is an integer number (44532180).

Almost surely, 22231102120 is an apocalyptic number.

2231102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850059520).

2231102120 is an abundant number, since it is smaller than the sum of its proper divisors (3469016920).

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

2231102120 is a wasteful number, since it uses less digits than its factorization.

2231102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2231102120 is about 47234.5437153785. The cubic root of 2231102120 is about 1306.6917515083.

Adding to 2231102120 its reverse (212011322), we get a palindrome (2443113442).

The spelling of 2231102120 in words is "two billion, two hundred thirty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 101 104 115 130 184 202 230 260 299 404 460 505 520 598 808 920 1010 1196 1313 1495 1847 2020 2323 2392 2626 2990 3694 4040 4646 5252 5980 6565 7388 9235 9292 10504 11615 11960 13130 14776 18470 18584 23230 24011 26260 30199 36940 42481 46460 48022 52520 60398 73880 84962 92920 96044 120055 120796 150995 169924 186547 192088 212405 240110 241592 301990 339848 373094 424810 480220 552253 603980 746188 849620 932735 960440 1104506 1207960 1492376 1699240 1865470 2209012 2425111 2761265 3730940 4290581 4418024 4850222 5522530 7461880 8581162 9700444 11045060 12125555 17162324 19400888 21452905 22090120 24251110 34324648 42905810 48502220 55777553 85811620 97004440 111555106 171623240 223110212 278887765 446220424 557775530 1115551060 2231102120