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1302131334 = 23747701941
BaseRepresentation
bin100110110011100…
…1111001010000110
310100202012010101110
41031213033022012
510131321200314
6333113105450
744160635160
oct11547171206
93322163343
101302131334
116090235a9
123040b8286
13179a0311a
14c4d17930
15794b1a59
hex4d9cf286

1302131334 has 64 divisors (see below), whose sum is σ = 3047196672. Its totient is φ = 363216000.

The previous prime is 1302131333. The next prime is 1302131339. The reversal of 1302131334 is 4331312031.

1302131334 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1302131334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302131333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383304 + ... + 1384244.

It is an arithmetic number, because the mean of its divisors is an integer number (47612448).

Almost surely, 21302131334 is an apocalyptic number.

1302131334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302131334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523598336).

1302131334 is an abundant number, since it is smaller than the sum of its proper divisors (1745065338).

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

1302131334 is a wasteful number, since it uses less digits than its factorization.

1302131334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1302131334 is about 36085.0569349696. The cubic root of 1302131334 is about 1091.9889991378.

Adding to 1302131334 its reverse (4331312031), we get a palindrome (5633443365).

The spelling of 1302131334 in words is "one billion, three hundred two million, one hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 701 941 987 1402 1882 1974 2103 2823 4206 4907 5646 6587 9814 13174 14721 19761 29442 32947 39522 44227 65894 88454 98841 132681 197682 230629 265362 309589 461258 619178 659641 691887 928767 1319282 1383774 1857534 1978923 3957846 4617487 9234974 13852461 27704922 31003127 62006254 93009381 186018762 217021889 434043778 651065667 1302131334