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1311221007 = 33235339839
BaseRepresentation
bin100111000100111…
…1010010100001111
310101101021221002000
41032021322110033
510141133033012
6334040003343
744331123525
oct11611722417
93341257060
101311221007
11613171828
12307160553
1317b866525
14c6202315
157a1a9ddc
hex4e27a50f

1311221007 has 32 divisors (see below), whose sum is σ = 2065305600. Its totient is φ = 820344096.

The previous prime is 1311220979. The next prime is 1311221039. The reversal of 1311221007 is 7001221131.

It is a happy number.

1311221007 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1311221007 - 212 = 1311216911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311221077) 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, 12994 + ... + 52832.

It is an arithmetic number, because the mean of its divisors is an integer number (64540800).

Almost surely, 21311221007 is an apocalyptic number.

1311221007 is a deficient number, since it is larger than the sum of its proper divisors (754084593).

1311221007 is a wasteful number, since it uses less digits than its factorization.

1311221007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39924 (or 39918 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1311221007 is about 36210.7857826919. The cubic root of 1311221007 is about 1094.5240265740.

Adding to 1311221007 its reverse (7001221131), we get a palindrome (8312442138).

The spelling of 1311221007 in words is "one billion, three hundred eleven million, two hundred twenty-one thousand, seven".

Divisors: 1 3 9 23 27 53 69 159 207 477 621 1219 1431 3657 10971 32913 39839 119517 358551 916297 1075653 2111467 2748891 6334401 8246673 19003203 24740019 48563741 57009609 145691223 437073669 1311221007