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11103442400 = 255223775839
BaseRepresentation
bin10100101011101000…
…10001010111100000
31001122211002022112102
422111310101113200
5140214440124100
65033441145532
7542103463121
oct122564212740
931584068472
1011103442400
114788670686
12219a62b2a8
13107c4a4c7b
1477491a048
1544ebc3cd5
hex295d115e0

11103442400 has 72 divisors (see below), whose sum is σ = 27122326560. Its totient is φ = 4438748160.

The previous prime is 11103442397. The next prime is 11103442403. The reversal of 11103442400 is 424430111.

It is an interprime number because it is at equal distance from previous prime (11103442397) and next prime (11103442403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103442403) 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, 1898681 + ... + 1904519.

It is an arithmetic number, because the mean of its divisors is an integer number (376698980).

Almost surely, 211103442400 is an apocalyptic number.

11103442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11103442400 is an abundant number, since it is smaller than the sum of its proper divisors (16018884160).

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

11103442400 is a wasteful number, since it uses less digits than its factorization.

11103442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8223 counting only the distinct ones).

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

Adding to 11103442400 its reverse (424430111), we get a palindrome (11527872511).

The spelling of 11103442400 in words is "eleven billion, one hundred three million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2377 4754 5839 9508 11678 11885 19016 23356 23770 29195 38032 46712 47540 58390 59425 76064 93424 95080 116780 118850 145975 186848 190160 233560 237700 291950 380320 467120 475400 583900 934240 950800 1167800 1901600 2335600 4671200 13879303 27758606 55517212 69396515 111034424 138793030 222068848 277586060 346982575 444137696 555172120 693965150 1110344240 1387930300 2220688480 2775860600 5551721200 11103442400