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1101144200 = 235213479011
BaseRepresentation
bin100000110100010…
…0010000010001000
32211201222220212112
41001220202002020
54223343103300
6301133201452
736200366642
oct10150420210
92751886775
101101144200
11515626a32
12268930288
13147191720
14a6359892
1566a0ee35
hex41a22088

1101144200 has 96 divisors (see below), whose sum is σ = 2816069760. Its totient is φ = 397881600.

The previous prime is 1101144167. The next prime is 1101144217. The reversal of 1101144200 is 24411011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117695 + ... + 126705.

It is an arithmetic number, because the mean of its divisors is an integer number (29334060).

Almost surely, 21101144200 is an apocalyptic number.

1101144200 is a gapful number since it is divisible by the number (10) 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 1101144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408034880).

1101144200 is an abundant number, since it is smaller than the sum of its proper divisors (1714925560).

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

1101144200 is a wasteful number, since it uses less digits than its factorization.

1101144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1101144200 is about 33183.4928842640. The cubic root of 1101144200 is about 1032.6379110966.

Adding to 1101144200 its reverse (24411011), we get a palindrome (1125555211).

The spelling of 1101144200 in words is "one billion, one hundred one million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 47 50 52 65 94 100 104 130 188 200 235 260 325 376 470 520 611 650 940 1175 1222 1300 1880 2350 2444 2600 3055 4700 4888 6110 9011 9400 12220 15275 18022 24440 30550 36044 45055 61100 72088 90110 117143 122200 180220 225275 234286 360440 423517 450550 468572 585715 847034 901100 937144 1171430 1694068 1802200 2117585 2342860 2928575 3388136 4235170 4685720 5505721 5857150 8470340 10587925 11011442 11714300 16940680 21175850 22022884 23428600 27528605 42351700 44045768 55057210 84703400 110114420 137643025 220228840 275286050 550572100 1101144200