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1310223132 = 22322937107317
BaseRepresentation
bin100111000011000…
…0110101100011100
310101022102020020200
41032012012230130
510140404120012
6334002343500
744316466341
oct11606065434
93338366220
101310223132
11612650039
1230695ab90
1317b5a727a
14c60227c8
157a05e3dc
hex4e186b1c

1310223132 has 144 divisors (see below), whose sum is σ = 3562846560. Its totient is φ = 405167616.

The previous prime is 1310223127. The next prime is 1310223151. The reversal of 1310223132 is 2313220131.

1310223132 is a `hidden beast` number, since 1 + 310 + 223 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4133038 + ... + 4133354.

It is an arithmetic number, because the mean of its divisors is an integer number (24741990).

Almost surely, 21310223132 is an apocalyptic number.

1310223132 is a gapful number since it is divisible by the number (12) 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 1310223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781423280).

1310223132 is an abundant number, since it is smaller than the sum of its proper divisors (2252623428).

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

1310223132 is a wasteful number, since it uses less digits than its factorization.

1310223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

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

The square root of 1310223132 is about 36197.0044616954. The cubic root of 1310223132 is about 1094.2463018837.

Adding to 1310223132 its reverse (2313220131), we get a palindrome (3623443263).

The spelling of 1310223132 in words is "one billion, three hundred ten million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 107 111 116 148 174 214 222 261 317 321 333 348 428 444 522 634 642 666 951 963 1044 1073 1268 1284 1332 1902 1926 2146 2853 3103 3219 3804 3852 3959 4292 5706 6206 6438 7918 9193 9309 9657 11412 11729 11877 12412 12876 15836 18386 18618 19314 23458 23754 27579 27927 33919 35187 35631 36772 37236 38628 46916 47508 55158 55854 67838 70374 71262 82737 101757 105561 110316 111708 114811 135676 140748 142524 165474 203514 211122 229622 305271 330948 340141 344433 407028 422244 459244 610542 680282 688866 983651 1020423 1033299 1221084 1255003 1360564 1377732 1967302 2040846 2066598 2510006 2950953 3061269 3765009 3934604 4081692 4133196 5020012 5901906 6122538 7530018 8852859 11295027 11803812 12245076 15060036 17705718 22590054 35411436 36395087 45180108 72790174 109185261 145580348 218370522 327555783 436741044 655111566 1310223132