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2111114304 = 263213281933
BaseRepresentation
bin111110111010101…
…0000110001000000
312110010102201101200
41331311100301000
513310421124204
6545252301200
7103213114125
oct17565206100
95403381350
102111114304
1199373a472
124ab011800
132784ac980
1416054074c
15c5510539
hex7dd50c40

2111114304 has 84 divisors (see below), whose sum is σ = 6516622476. Its totient is φ = 649571328.

The previous prime is 2111114297. The next prime is 2111114309. The reversal of 2111114304 is 4034111112.

It can be written as a sum of positive squares in 2 ways, for example, as 775065600 + 1336048704 = 27840^2 + 36552^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111114309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133479 + ... + 148454.

It is an arithmetic number, because the mean of its divisors is an integer number (77578839).

Almost surely, 22111114304 is an apocalyptic number.

2111114304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2111114304 is an abundant number, since it is smaller than the sum of its proper divisors (4405508172).

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

2111114304 is a wasteful number, since it uses less digits than its factorization.

2111114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281964 (or 281951 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2111114304 is about 45946.8639190968. The cubic root of 2111114304 is about 1282.8343571535.

Adding to 2111114304 its reverse (4034111112), we get a palindrome (6145225416).

The spelling of 2111114304 in words is "two billion, one hundred eleven million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 281933 563866 845799 1127732 1691598 2255464 2537397 3383196 3665129 4510928 5074794 6766392 7330258 9021856 10149588 10995387 13532784 14660516 18043712 20299176 21990774 27065568 29321032 32986161 40598352 43981548 54131136 58642064 65972322 81196704 87963096 117284128 131944644 162393408 175926192 234568256 263889288 351852384 527778576 703704768 1055557152 2111114304