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2300011104 = 253191260971
BaseRepresentation
bin1000100100010111…
…0110001001100000
312221021212200002110
42021011312021200
514202300323404
61020121115320
7110665525506
oct21105661140
95837780073
102300011104
11a80329426
12542328b40
132a867a221
1417b672676
15d6dc4b89
hex89176260

2300011104 has 48 divisors (see below), whose sum is σ = 6355298880. Its totient is φ = 726318720.

The previous prime is 2300011099. The next prime is 2300011121. The reversal of 2300011104 is 4011100032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2300011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628662 + ... + 632309.

It is an arithmetic number, because the mean of its divisors is an integer number (132402060).

Almost surely, 22300011104 is an apocalyptic number.

2300011104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2300011104 is an abundant number, since it is smaller than the sum of its proper divisors (4055287776).

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

2300011104 is a wasteful number, since it uses less digits than its factorization.

2300011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261003 (or 1260995 counting only the distinct ones).

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

The square root of 2300011104 is about 47958.4310001902. The cubic root of 2300011104 is about 1320.0082460458.

Adding to 2300011104 its reverse (4011100032), we get a palindrome (6311111136).

The spelling of 2300011104 in words is "two billion, three hundred million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 1260971 2521942 3782913 5043884 7565826 10087768 15131652 20175536 23958449 30263304 40351072 47916898 60526608 71875347 95833796 121053216 143750694 191667592 287501388 383335184 575002776 766670368 1150005552 2300011104