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1102001120 = 255111036079
BaseRepresentation
bin100000110101111…
…0011001111100000
32211210121110100022
41001223303033200
54224103013440
6301203413012
736210566153
oct10153631740
92753543308
101102001120
11516061830
12269084168
1314740178c
14a64ddc9a
1566b2dcb5
hex41af33e0

1102001120 has 96 divisors (see below), whose sum is σ = 2868203520. Its totient is φ = 396771840.

The previous prime is 1102001111. The next prime is 1102001129. The reversal of 1102001120 is 211002011.

It is an interprime number because it is at equal distance from previous prime (1102001111) and next prime (1102001129).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1102001098 and 1102001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102001129) 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, 178241 + ... + 184319.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 21102001120 is an apocalyptic number.

1102001120 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 1102001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434101760).

1102001120 is an abundant number, since it is smaller than the sum of its proper divisors (1766202400).

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

1102001120 is a wasteful number, since it uses less digits than its factorization.

1102001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1102001120 is about 33196.4022146979. The cubic root of 1102001120 is about 1032.9057109105.

Adding to 1102001120 its reverse (211002011), we get a palindrome (1313003131).

The spelling of 1102001120 in words is "one billion, one hundred two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 103 110 160 176 206 220 352 412 440 515 824 880 1030 1133 1648 1760 2060 2266 3296 4120 4532 5665 6079 8240 9064 11330 12158 16480 18128 22660 24316 30395 36256 45320 48632 60790 66869 90640 97264 121580 133738 181280 194528 243160 267476 334345 486320 534952 626137 668690 972640 1069904 1252274 1337380 2139808 2504548 2674760 3130685 5009096 5349520 6261370 6887507 10018192 10699040 12522740 13775014 20036384 25045480 27550028 34437535 50090960 55100056 68875070 100181920 110200112 137750140 220400224 275500280 551000560 1102001120