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1331132010 = 2351323914281
BaseRepresentation
bin100111101010111…
…0111011001101010
310102202202111211120
41033111313121222
510211232211020
6340030440110
744662302225
oct11725673152
93382674746
101331132010
116234311aa
12311963036
13182a182a0
14c8b065bc
157bcde740
hex4f57766a

1331132010 has 64 divisors (see below), whose sum is σ = 3455101440. Its totient is φ = 326269440.

The previous prime is 1331131999. The next prime is 1331132021. The reversal of 1331132010 is 102311331.

It is an interprime number because it is at equal distance from previous prime (1331131999) and next prime (1331132021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 86070 + ... + 100350.

It is an arithmetic number, because the mean of its divisors is an integer number (53985960).

Almost surely, 21331132010 is an apocalyptic number.

1331132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727550720).

1331132010 is an abundant number, since it is smaller than the sum of its proper divisors (2123969430).

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

1331132010 is a wasteful number, since it uses less digits than its factorization.

1331132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14543.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1331132010 is about 36484.6818541700. The cubic root of 1331132010 is about 1100.0363651890.

Adding to 1331132010 its reverse (102311331), we get a palindrome (1433443341).

The spelling of 1331132010 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 239 390 478 717 1195 1434 2390 3107 3585 6214 7170 9321 14281 15535 18642 28562 31070 42843 46605 71405 85686 93210 142810 185653 214215 371306 428430 556959 928265 1113918 1856530 2784795 3413159 5569590 6826318 10239477 17065795 20478954 34131590 44371067 51197385 88742134 102394770 133113201 221855335 266226402 443710670 665566005 1331132010