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2013321114 = 232722978713
BaseRepresentation
bin111100000000000…
…1101011110011010
312012022102022100200
41320000031132122
513110402233424
6531440243030
7100614642600
oct17000153632
95168368320
102013321114
11943515a52
12482310476
1326115c78c
14151565870
15bbb448c9
hex7800d79a

2013321114 has 72 divisors (see below), whose sum is σ = 5249436660. Its totient is φ = 555391872.

The previous prime is 2013321109. The next prime is 2013321119. The reversal of 2013321114 is 4111233102.

It is an interprime number because it is at equal distance from previous prime (2013321109) and next prime (2013321119).

It can be written as a sum of positive squares in 2 ways, for example, as 1991390625 + 21930489 = 44625^2 + 4683^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2013321119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13779 + ... + 64934.

Almost surely, 22013321114 is an apocalyptic number.

2013321114 is an abundant number, since it is smaller than the sum of its proper divisors (3236115546).

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

2013321114 is a wasteful number, since it uses less digits than its factorization.

2013321114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78764 (or 78754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2013321114 is about 44870.0469578537. The cubic root of 2013321114 is about 1262.7121209964.

Adding to 2013321114 its reverse (4111233102), we get a palindrome (6124554216).

The spelling of 2013321114 in words is "two billion, thirteen million, three hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4263 8526 12789 25578 78713 157426 236139 472278 550991 708417 1101982 1416834 1652973 2282677 3305946 3856937 4565354 4958919 6848031 7713874 9917838 11570811 13696062 15978739 20544093 23141622 31957478 34712433 41088186 47936217 69424866 95872434 111851173 143808651 223702346 287617302 335553519 671107038 1006660557 2013321114