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1300120332 = 2237241199271
BaseRepresentation
bin100110101111110…
…0100001100001100
310100121101221210220
41031133210030030
510130312322312
6333002031340
744134561200
oct11537441414
93317357726
101300120332
1160797a715
123034a8550
1317947a994
14c4952b00
1579215c8c
hex4d7e430c

1300120332 has 144 divisors (see below), whose sum is σ = 3646540800. Its totient is φ = 359251200.

The previous prime is 1300120331. The next prime is 1300120337. The reversal of 1300120332 is 2330210031.

It is not an unprimeable number, because it can be changed into a prime (1300120331) 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, 4797357 + ... + 4797627.

It is an arithmetic number, because the mean of its divisors is an integer number (25323200).

Almost surely, 21300120332 is an apocalyptic number.

1300120332 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 1300120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823270400).

1300120332 is an abundant number, since it is smaller than the sum of its proper divisors (2346420468).

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

1300120332 is a wasteful number, since it uses less digits than its factorization.

1300120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1300120332 is about 36057.1814206269. The cubic root of 1300120332 is about 1091.4265562500.

Adding to 1300120332 its reverse (2330210031), we get a palindrome (3630330363).

It can be divided in two parts, 13001 and 20332, that added together give a palindrome (33333).

The spelling of 1300120332 in words is "one billion, three hundred million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 199 246 271 287 294 398 492 542 574 588 597 796 813 861 1084 1148 1194 1393 1626 1722 1897 2009 2388 2786 3252 3444 3794 4018 4179 5572 5691 6027 7588 8036 8159 8358 9751 11111 11382 12054 13279 16318 16716 19502 22222 22764 24108 24477 26558 29253 32636 33333 39004 39837 44444 48954 53116 53929 57113 58506 66666 77777 79674 97908 107858 114226 117012 133332 155554 159348 161787 171339 215716 228452 233331 311108 323574 342678 377503 399791 466662 544439 647148 685356 755006 799582 933324 1088878 1132509 1199373 1510012 1599164 1633317 2177756 2211089 2265018 2398746 2642521 3266634 4422178 4530036 4797492 5285042 6533268 6633267 7927563 8844356 10570084 13266534 15477623 15855126 26533068 30955246 31710252 46432869 61910492 92865738 108343361 185731476 216686722 325030083 433373444 650060166 1300120332