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1000420311 = 31130315767
BaseRepresentation
bin111011101000010…
…011001111010111
32120201110121200010
4323220103033113
54022101422221
6243134251303
733535301202
oct7350231727
92521417603
101000420311
11473790650
1223b056b33
1312c3565a7
1496c1a939
155cc65c76
hex3ba133d7

1000420311 has 8 divisors (see below), whose sum is σ = 1455156864. Its totient is φ = 606315320.

The previous prime is 1000420261. The next prime is 1000420339. The reversal of 1000420311 is 1130240001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000420311 - 214 = 1000403927 is a prime.

It is a super-2 number, since 2×10004203112 = 2001681597322673442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000420381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15157851 + ... + 15157916.

It is an arithmetic number, because the mean of its divisors is an integer number (181894608).

Almost surely, 21000420311 is an apocalyptic number.

1000420311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000420311 is a deficient number, since it is larger than the sum of its proper divisors (454736553).

1000420311 is a wasteful number, since it uses less digits than its factorization.

1000420311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30315781.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1000420311 is about 31629.4216039434. The cubic root of 1000420311 is about 1000.1400840422.

Adding to 1000420311 its reverse (1130240001), we get a palindrome (2130660312).

The spelling of 1000420311 in words is "one billion, four hundred twenty thousand, three hundred eleven".

Divisors: 1 3 11 33 30315767 90947301 333473437 1000420311