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1120011000 = 233531721961
BaseRepresentation
bin100001011000010…
…0000001011111000
32220001111110020220
41002300200023320
54243210323000
6303045420040
736516636123
oct10260401370
92801443226
101120011000
11525242929
1227310a620
1314b069104
14a8a6b3ba
15684da1a0
hex42c202f8

1120011000 has 128 divisors (see below), whose sum is σ = 3700157760. Its totient is φ = 281088000.

The previous prime is 1120010933. The next prime is 1120011019. The reversal of 1120011000 is 1100211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1120011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40020 + ... + 61980.

Almost surely, 21120011000 is an apocalyptic number.

1120011000 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 1120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850078880).

1120011000 is an abundant number, since it is smaller than the sum of its proper divisors (2580146760).

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

1120011000 is a wasteful number, since it uses less digits than its factorization.

1120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22002 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1120011000 is about 33466.5654048933. The cubic root of 1120011000 is about 1038.5022202064.

Adding to 1120011000 its reverse (1100211), we get a palindrome (1121111211).

The spelling of 1120011000 in words is "one billion, one hundred twenty million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 21961 25500 43922 51000 65883 87844 109805 131766 175688 219610 263532 329415 373337 439220 527064 549025 658830 746674 878440 1098050 1120011 1317660 1493348 1647075 1866685 2196100 2240022 2635320 2745125 2986696 3294150 3733370 4392200 4480044 5490250 5600055 6588300 7466740 8235375 8960088 9333425 10980500 11200110 13176600 14933480 16470750 18666850 21961000 22400220 28000275 32941500 37333700 44800440 46667125 56000550 65883000 74667400 93334250 112001100 140001375 186668500 224002200 280002750 373337000 560005500 1120011000