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2113004144 = 243119322073
BaseRepresentation
bin111110111110001…
…1110001001110000
312110020222201202202
41331330132021300
513311412113034
6545401002332
7103235144636
oct17574361160
95406881682
102113004144
11994810319
124ab7833a8
132789c1c14
141608b3356
15c578547e
hex7df1e270

2113004144 has 40 divisors (see below), whose sum is σ = 4248097152. Its totient is φ = 1017077760.

The previous prime is 2113004141. The next prime is 2113004147. The reversal of 2113004144 is 4414003112.

It is an interprime number because it is at equal distance from previous prime (2113004141) and next prime (2113004147).

It is a super-2 number, since 2×21130041442 = 8929573025122345472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113004141) 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, 84692 + ... + 106764.

Almost surely, 22113004144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124048576).

2113004144 is an abundant number, since it is smaller than the sum of its proper divisors (2135093008).

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

2113004144 is a wasteful number, since it uses less digits than its factorization.

2113004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22305 (or 22299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2113004144 is about 45967.4248136656. The cubic root of 2113004144 is about 1283.2170347788.

Adding to 2113004144 its reverse (4414003112), we get a palindrome (6527007256).

The spelling of 2113004144 in words is "two billion, one hundred thirteen million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 193 248 386 496 772 1544 3088 5983 11966 22073 23932 44146 47864 88292 95728 176584 353168 684263 1368526 2737052 4260089 5474104 8520178 10948208 17040356 34080712 68161424 132062759 264125518 528251036 1056502072 2113004144