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2013442104 = 2334115713033
BaseRepresentation
bin111100000000010…
…1011000000111000
312012022122110022210
41320000223000320
513110420121404
6531443015120
7100615655412
oct17000530070
95168573283
102013442104
11943598943
1248236a4a0
132611a287b
141515979b2
15bbb6a689
hex7802b038

2013442104 has 64 divisors (see below), whose sum is σ = 5189617440. Its totient is φ = 650557440.

The previous prime is 2013442091. The next prime is 2013442117. The reversal of 2013442104 is 4012443102.

It is an interprime number because it is at equal distance from previous prime (2013442091) and next prime (2013442117).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147972 + ... + 161004.

Almost surely, 22013442104 is an apocalyptic number.

2013442104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594808720).

2013442104 is an abundant number, since it is smaller than the sum of its proper divisors (3176175336).

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

2013442104 is a wasteful number, since it uses less digits than its factorization.

2013442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13240 (or 13236 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2013442104 is about 44871.3951644029. The cubic root of 2013442104 is about 1262.7374146067.

Adding to 2013442104 its reverse (4012443102), we get a palindrome (6025885206).

The spelling of 2013442104 in words is "two billion, thirteen million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 157 164 246 314 328 471 492 628 942 984 1256 1884 3768 6437 12874 13033 19311 25748 26066 38622 39099 51496 52132 77244 78198 104264 154488 156396 312792 534353 1068706 1603059 2046181 2137412 3206118 4092362 4274824 6138543 6412236 8184724 12277086 12824472 16369448 24554172 49108344 83893421 167786842 251680263 335573684 503360526 671147368 1006721052 2013442104