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1331030010 = 235235933253
BaseRepresentation
bin100111101010101…
…1110011111111010
310102202120022220210
41033111132133322
510211220430020
6340024331550
744661365652
oct11725363772
93382508823
101331030010
11623371602
12311913bb6
131829b0a2b
14c8abb362
157bcbe3e0
hex4f55e7fa

1331030010 has 64 divisors (see below), whose sum is σ = 3340009728. Its totient is φ = 338832384.

The previous prime is 1331029993. The next prime is 1331030021. The reversal of 1331030010 is 100301331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407544 + ... + 410796.

It is an arithmetic number, because the mean of its divisors is an integer number (52187652).

Almost surely, 21331030010 is an apocalyptic number.

1331030010 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 1331030010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670004864).

1331030010 is an abundant number, since it is smaller than the sum of its proper divisors (2008979718).

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

1331030010 is a wasteful number, since it uses less digits than its factorization.

1331030010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1331030010 is about 36483.2839804752. The cubic root of 1331030010 is about 1100.0082671555.

Adding to 1331030010 its reverse (100301331), we get a palindrome (1431331341).

The spelling of 1331030010 in words is "one billion, three hundred thirty-one million, thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 593 690 1186 1779 2965 3253 3558 5930 6506 8895 9759 13639 16265 17790 19518 27278 32530 40917 48795 68195 74819 81834 97590 136390 149638 204585 224457 374095 409170 448914 748190 1122285 1929029 2244570 3858058 5787087 9645145 11574174 19290290 28935435 44367667 57870870 88735334 133103001 221838335 266206002 443676670 665515005 1331030010