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1331411410 = 25753383937
BaseRepresentation
bin100111101011011…
…1011100111010010
310102210021201002201
41033112323213102
510211320131120
6340040433414
744664544630
oct11726734722
93383251081
101331411410
1162360210a
12311a7886a
13182ab5504
14c8b7a350
157bd4740a
hex4f5bb9d2

1331411410 has 64 divisors (see below), whose sum is σ = 2800852992. Its totient is φ = 446224896.

The previous prime is 1331411407. The next prime is 1331411413. The reversal of 1331411410 is 141141331.

It is an interprime number because it is at equal distance from previous prime (1331411407) and next prime (1331411413).

It is not an unprimeable number, because it can be changed into a prime (1331411413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420462 + ... + 1421398.

It is an arithmetic number, because the mean of its divisors is an integer number (43763328).

Almost surely, 21331411410 is an apocalyptic number.

1331411410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331411410 is an abundant number, since it is smaller than the sum of its proper divisors (1469441582).

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

1331411410 is a wasteful number, since it uses less digits than its factorization.

1331411410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1331411410 is about 36488.5106574659. The cubic root of 1331411410 is about 1100.1133244128.

Adding to 1331411410 its reverse (141141331), we get a palindrome (1472552741).

The spelling of 1331411410 in words is "one billion, three hundred thirty-one million, four hundred eleven thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 53 70 106 265 371 383 530 742 766 937 1855 1874 1915 2681 3710 3830 4685 5362 6559 9370 13118 13405 20299 26810 32795 40598 49661 65590 99322 101495 142093 202990 248305 284186 347627 358871 496610 695254 710465 717742 1420930 1738135 1794355 2512097 3476270 3588710 5024194 12560485 19020163 25120970 38040326 95100815 133141141 190201630 266282282 665705705 1331411410