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1301553132 = 2231119949549
BaseRepresentation
bin100110110010100…
…0001111111101100
310100201002202020120
41031211001333230
510131144200012
6333052444540
744153006355
oct11545017754
93321082216
101301553132
11608769150
12303a79750
1317985cba9
14c4c06d2c
15793ea58c
hex4d941fec

1301553132 has 48 divisors (see below), whose sum is σ = 3329760000. Its totient is φ = 392420160.

The previous prime is 1301553119. The next prime is 1301553137. The reversal of 1301553132 is 2313551031.

It is not an unprimeable number, because it can be changed into a prime (1301553137) 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 15 ways as a sum of consecutive naturals, for example, 1494 + ... + 51042.

It is an arithmetic number, because the mean of its divisors is an integer number (69370000).

Almost surely, 21301553132 is an apocalyptic number.

1301553132 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 1301553132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664880000).

1301553132 is an abundant number, since it is smaller than the sum of its proper divisors (2028206868).

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

1301553132 is a wasteful number, since it uses less digits than its factorization.

1301553132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49766 (or 49764 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1301553132 is about 36077.0443911360. The cubic root of 1301553132 is about 1091.8273452696.

The spelling of 1301553132 in words is "one billion, three hundred one million, five hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 398 597 796 1194 2189 2388 4378 6567 8756 13134 26268 49549 99098 148647 198196 297294 545039 594588 1090078 1635117 2180156 3270234 6540468 9860251 19720502 29580753 39441004 59161506 108462761 118323012 216925522 325388283 433851044 650776566 1301553132