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1100023120 = 245713211487
BaseRepresentation
bin100000110010001…
…0000010101010000
32211122212222001001
41001210100111100
54223101214440
6301053151344
736155020330
oct10144202520
92748788031
101100023120
11514a30719
1226848b554
13146b8b371
14a61470c0
156688cb9a
hex41910550

1100023120 has 80 divisors (see below), whose sum is σ = 2927098368. Its totient is φ = 376611840.

The previous prime is 1100023103. The next prime is 1100023123. The reversal of 1100023120 is 213200011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100023097 and 1100023106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100023123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739017 + ... + 740503.

Almost surely, 21100023120 is an apocalyptic number.

1100023120 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 1100023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463549184).

1100023120 is an abundant number, since it is smaller than the sum of its proper divisors (1827075248).

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

1100023120 is a wasteful number, since it uses less digits than its factorization.

1100023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100023120 is about 33166.5964488369. The cubic root of 1100023120 is about 1032.2873476227.

Adding to 1100023120 its reverse (213200011), we get a palindrome (1313223131).

The spelling of 1100023120 in words is "one billion, one hundred million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1321 1487 2642 2974 5284 5948 6605 7435 9247 10409 10568 11896 13210 14870 18494 20818 21136 23792 26420 29740 36988 41636 46235 52045 52840 59480 73976 83272 92470 104090 105680 118960 147952 166544 184940 208180 369880 416360 739760 832720 1964327 3928654 7857308 9821635 13750289 15714616 19643270 27500578 31429232 39286540 55001156 68751445 78573080 110002312 137502890 157146160 220004624 275005780 550011560 1100023120