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2231321130 = 23251391731031
BaseRepresentation
bin1000010011111111…
…0100001000101010
312202111121212011100
42010333310020222
514032204234010
61005224542230
7106202626263
oct20477641052
95674555140
102231321130
11a45582655
12523321976
13297379a7c
141724b196a
15d0d572c0
hex84ff422a

2231321130 has 96 divisors (see below), whose sum is σ = 5882647680. Its totient is φ = 586753920.

The previous prime is 2231321117. The next prime is 2231321137. The reversal of 2231321130 is 311231322.

It is a super-3 number, since 3×22313211303 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2231321137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163715 + ... + 2164745.

It is an arithmetic number, because the mean of its divisors is an integer number (61277580).

Almost surely, 22231321130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941323840).

2231321130 is an abundant number, since it is smaller than the sum of its proper divisors (3651326550).

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

2231321130 is a wasteful number, since it uses less digits than its factorization.

2231321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2231321130 is about 47236.8619829895. The cubic root of 2231321130 is about 1306.7345060427.

Adding to 2231321130 its reverse (311231322), we get a palindrome (2542552452).

The spelling of 2231321130 in words is "two billion, two hundred thirty-one million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 173 278 346 417 519 695 834 865 1031 1038 1251 1390 1557 1730 2062 2085 2502 2595 3093 3114 4170 5155 5190 6186 6255 7785 9279 10310 12510 15465 15570 18558 24047 30930 46395 48094 72141 92790 120235 143309 144282 178363 216423 240470 286618 356726 360705 429927 432846 535089 716545 721410 859854 891815 1070178 1082115 1289781 1433090 1605267 1783630 2149635 2164230 2579562 2675445 3210534 4299270 5350890 6448905 8026335 12897810 16052670 24792457 49584914 74377371 123962285 148754742 223132113 247924570 371886855 446264226 743773710 1115660565 2231321130